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IETF RFC 6234

US Secure Hash Algorithms (SHA and SHA-based HMAC and HKDF)

Last modified on Saturday, May 7th, 2011

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Internet Engineering Task Force (IETF)                   D. Eastlake 3rd
Request for Comments: 6234                                        Huawei
Obsoletes: 4634                                                T. Hansen
Updates: 3174                                                  AT&T Labs
Category: Informational                                       May 2011
ISSN: 2070-1721


                       US Secure Hash Algorithms
                   (SHA and SHA-based HMAC and HKDF)

 Abstract

   The United States of America has adopted a suite of Secure Hash
   Algorithms (SHAs), including four beyond SHA-1, as part of a Federal
   Information Processing Standard (FIPS), namely SHA-224, SHA-256,
   SHA-384, and SHA-512.  This document makes open source code
   performing these SHA hash functions conveniently available to the
   Internet community.  The sample code supports input strings of
   arbitrary bit length.  Much of the text herein was adapted by the
   authors from FIPS 180-2.

   This document replaces RFC 4634, fixing errata and adding code for an
   HMAC-based extract-and-expand Key Derivation Function, HKDF (RFC
   5869).  As with RFC 4634, code to perform SHA-based Hashed Message
   Authentication Codes (HMACs) is also included.

 Status of This Memo

   This document is not an Internet Standards Track specification; it is
   published for informational purposes.

   This document is a product of the Internet Engineering Task Force
   (IETF).  It represents the consensus of the IETF community.  It has
   received public review and has been approved for publication by the
   Internet Engineering Steering Group (IESG).  Not all documents
   approved by the IESG are a candidate for any level of Internet
   Standard; see Section 2 of RFC 5741.

   Information about the current status of this document, any errata,
   and how to provide feedback on it may be obtained at
   http://www.rfc-editor.org/info/RFC 6234.









Eastlake & Hansen             Informational                  PAGE 1 


RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Copyright Notice Copyright (c) 2011 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (http://trustee.ietf.org/license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Simplified BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Simplified BSD License. Eastlake & Hansen Informational PAGE 2

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Table of Contents 1. Overview of Contents ............................................4 2. Notation for Bit Strings and Integers ...........................5 3. Operations on Words .............................................6 4. Message Padding and Parsing .....................................8 4.1. SHA-224 and SHA-256 ........................................8 4.2. SHA-384 and SHA-512 ........................................9 5. Functions and Constants Used ...................................10 5.1. SHA-224 and SHA-256 .......................................10 5.2. SHA-384 and SHA-512 .......................................11 6. Computing the Message Digest ...................................12 6.1. SHA-224 and SHA-256 Initialization ........................12 6.2. SHA-224 and SHA-256 Processing ............................13 6.3. SHA-384 and SHA-512 Initialization ........................14 6.4. SHA-384 and SHA-512 Processing ............................15 7. HKDF- and SHA-Based HMACs ......................................17 7.1. SHA-Based HMACs ...........................................17 7.2. HKDF ......................................................17 8. C Code for SHAs, HMAC, and HKDF ................................17 8.1. The Header Files ..........................................21 8.1.1. The .h file ........................................21 8.1.2. stdint-example.h ...................................29 8.1.3. sha-private.h ......................................29 8.2. The SHA Code ..............................................30 8.2.1. sha1.c .............................................30 8.2.2. sha224-256.c .......................................39 8.2.3. sha384-512.c .......................................51 8.2.4. usha.c .............................................73 8.3. The HMAC Code .............................................79 8.4. The HKDF Code .............................................84 8.5. The Test Driver ...........................................91 9. Security Considerations .......................................123 10. Acknowledgements .............................................123 11. References ...................................................124 11.1. Normative References ....................................124 11.2. Informative References ..................................124 Appendix: Changes from RFC 4634...................................126 Eastlake & Hansen Informational PAGE 3

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 1. Overview of Contents This document includes specifications for the United States of America (USA) Federal Information Processing Standard (FIPS) Secure Hash Algorithms (SHAs), code to implement the SHAs, code to implement HMAC (Hashed Message Authentication Code, [RFC 2104]) based on the SHAs, and code to implement HKDF (HMAC-based Key Derivation Function, [RFC 5869]) based on HMAC. Specifications for HMAC and HKDF are not included as they appear elsewhere in the RFC series [RFC 2104] [RFC 5869]. NOTE: Much of the text below is taken from [SHS], and the assertions of the security of the hash algorithms described therein are made by the US Government, the author of [SHS], not by the listed authors of this document. See also [RFC 6194] concerning the security of SHA-1. The text below specifies Secure Hash Algorithms, SHA-224 [RFC 3874], SHA-256, SHA-384, and SHA-512, for computing a condensed representation of a message or a data file. (SHA-1 is specified in [RFC 3174].) When a message of any length < 2^64 bits (for SHA-224 and SHA-256) or < 2^128 bits (for SHA-384 and SHA-512) is input to one of these algorithms, the result is an output called a message digest. The message digests range in length from 224 to 512 bits, depending on the algorithm. Secure Hash Algorithms are typically used with other cryptographic algorithms, such as digital signature algorithms and keyed-hash authentication codes, the generation of random numbers [RFC 4086], or in key derivation functions. The algorithms specified in this document are called secure because it is computationally infeasible to (1) find a message that corresponds to a given message digest, or (2) find two different messages that produce the same message digest. Any change to a message in transit will, with very high probability, result in a different message digest. This will result in a verification failure when the Secure Hash Algorithm is used with a digital signature algorithm or a keyed-hash message authentication algorithm. The code provided herein supports input strings of arbitrary bit length. SHA-1's sample code from [RFC 3174] has also been updated to handle input strings of arbitrary bit length. Permission is granted for all uses, commercial and non-commercial, of this code. This document obsoletes [RFC 4634], and the changes from that RFC are summarized in the Appendix. Eastlake & Hansen Informational PAGE 4

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 ASN.1 OIDs (Object Identifiers) for the SHA algorithms, taken from [RFC 4055], are as follows: id-sha1 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) oiw(14) secsig(3) algorithms(2) 26 } id-sha224 OBJECT IDENTIFIER ::= {{ joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistalgorithm(4) hashalgs(2) 4 } id-sha256 OBJECT IDENTIFIER ::= { joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistalgorithm(4) hashalgs(2) 1 } id-sha384 OBJECT IDENTIFIER ::= { joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistalgorithm(4) hashalgs(2) 2 } id-sha512 OBJECT IDENTIFIER ::= { joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistalgorithm(4) hashalgs(2) 3 } Section 2 below defines the terminology and functions used as building blocks to form these algorithms. Section 3 describes the fundamental operations on words from which these algorithms are built. Section 4 describes how messages are padded up to an integral multiple of the required block size and then parsed into blocks. Section 5 defines the constants and the composite functions used to specify the hash algorithms. Section 6 gives the actual specification for the SHA-224, SHA-256, SHA-384, and SHA-512 functions. Section 7 provides pointers to the specification of HMAC keyed message authentication codes and to the specification of an extract-and-expand key derivation function based on HMAC. Section 8 gives sample code for the SHA algorithms, for SHA-based HMACs, and for HMAC-based extract-and-expand key derivation function. 2. Notation for Bit Strings and Integers The following terminology related to bit strings and integers will be used: a. A hex digit is an element of the set {0, 1, ... , 9, A, ... , F}. A hex digit is the representation of a 4-bit string. Examples: 7 = 0111, A = 1010. b. A word equals a 32-bit or 64-bit string that may be represented as a sequence of 8 or 16 hex digits, respectively. To convert a word to hex digits, each 4-bit string is converted to its hex equivalent as described in (a) above. Example: Eastlake & Hansen Informational PAGE 5

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 1010 0001 0000 0011 1111 1110 0010 0011 = A103FE23. Throughout this document, the "big-endian" convention is used when expressing both 32-bit and 64-bit words, so that within each word the most significant bit is shown in the leftmost bit position. c. An integer may be represented as a word or pair of words. An integer between 0 and 2^32 - 1 inclusive may be represented as a 32-bit word. The least significant four bits of the integer are represented by the rightmost hex digit of the word representation. Example: the integer 291 = 2^8+2^5+2^1+2^0 = 256+32+2+1 is represented by the hex word 00000123. The same holds true for an integer between 0 and 2^64-1 inclusive, which may be represented as a 64-bit word. If Z is an integer, 0 <= z < 2^64, then z = (2^32)x + y where 0 <= x < 2^32 and 0 <= y < 2^32. Since x and y can be represented as words X and Y, respectively, z can be represented as the pair of words (X,Y). Again, the "big-endian" convention is used and the most significant word is in the leftmost word position for values represented by multiple-words. d. block = 512-bit or 1024-bit string. A block (e.g., B) may be represented as a sequence of 32-bit or 64-bit words. 3. Operations on Words The following logical operators will be applied to words in all four hash operations specified herein. SHA-224 and SHA-256 operate on 32-bit words while SHA-384 and SHA-512 operate on 64-bit words. In the operations below, x<<n is obtained as follows: discard the leftmost n bits of x and then pad the result with n zeroed bits on the right (the result will still be the same number of bits). Similarly, x>>n is obtained as follows: discard the rightmost n bits of x and then prepend the result with n zeroed bits on the left (the result will still be the same number of bits). a. Bitwise logical word operations X AND Y = bitwise logical "and" of X and Y. X OR Y = bitwise logical "inclusive-or" of X and Y. Eastlake & Hansen Informational PAGE 6

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 X XOR Y = bitwise logical "exclusive-or" of X and Y. NOT X = bitwise logical "complement" of X. Example: 01101100101110011101001001111011 XOR 01100101110000010110100110110111 -------------------------------- = 00001001011110001011101111001100 b. The operation X + Y is defined as follows: words X and Y represent w-bit integers x and y, where 0 <= x < 2^w and 0 <= y < 2^w. For positive integers n and m, let n mod m be the remainder upon dividing n by m. Compute z = (x + y) mod 2^w. Then 0 <= z < 2^w. Convert z to a word, Z, and define Z = X + Y. c. The right shift operation SHR^n(x), where x is a w-bit word and n is an integer with 0 <= n < w, is defined by SHR^n(x) = x>>n d. The rotate right (circular right shift) operation ROTR^n(x), where x is a w-bit word and n is an integer with 0 <= n < w, is defined by ROTR^n(x) = (x>>n) OR (x<<(w-n)) e. The rotate left (circular left shift) operation ROTL^n(x), where x is a w-bit word and n is an integer with 0 <= n < w, is defined by ROTL^n(X) = (x<<n) OR (x>>(w-n)) Note the following equivalence relationships, where w is fixed in each relationship: ROTL^n(x) = ROTR^(w-n)(x) ROTR^n(x) = ROTL^(w-n)(x) Eastlake & Hansen Informational PAGE 7

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 4. Message Padding and Parsing The hash functions specified herein are used to compute a message digest for a message or data file that is provided as input. The message or data file should be considered to be a bit string. The length of the message is the number of bits in the message (the empty message has length 0). If the number of bits in a message is a multiple of 8, for compactness we can represent the message in hex. The purpose of message padding is to make the total length of a padded message a multiple of 512 for SHA-224 and SHA-256 or a multiple of 1024 for SHA-384 and SHA-512. The following specifies how this padding shall be performed. As a summary, a "1" followed by m "0"s followed by a 64-bit or 128-bit integer are appended to the end of the message to produce a padded message of length 512*n or 1024*n. The appended integer is the length of the original message. The padded message is then processed by the hash function as n 512-bit or 1024-bit blocks. 4.1. SHA-224 and SHA-256 Suppose a message has length L < 2^64. Before it is input to the hash function, the message is padded on the right as follows: a. "1" is appended. Example: if the original message is "01010000", this is padded to "010100001". b. K "0"s are appended where K is the smallest, non-negative solution to the equation ( L + 1 + K ) mod 512 = 448 c. Then append the 64-bit block that is L in binary representation. After appending this block, the length of the message will be a multiple of 512 bits. Example: Suppose the original message is the bit string 01100001 01100010 01100011 01100100 01100101 After step (a) this gives 01100001 01100010 01100011 01100100 01100101 1 Eastlake & Hansen Informational PAGE 8

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Since L = 40, the number of bits in the above is 41 and K = 407 "0"s are appended, making the total now 448. This gives the following in hex: 61626364 65800000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 The 64-bit representation of L = 40 is hex 00000000 00000028. Hence the final padded message is the following hex 61626364 65800000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000028 4.2. SHA-384 and SHA-512 Suppose a message has length L < 2^128. Before it is input to the hash function, the message is padded on the right as follows: a. "1" is appended. Example: if the original message is "01010000", this is padded to "010100001". b. K "0"s are appended where K is the smallest, non-negative solution to the equation ( L + 1 + K ) mod 1024 = 896 c. Then append the 128-bit block that is L in binary representation. After appending this block, the length of the message will be a multiple of 1024 bits. Example: Suppose the original message is the bit string 01100001 01100010 01100011 01100100 01100101 After step (a) this gives 01100001 01100010 01100011 01100100 01100101 1 Eastlake & Hansen Informational PAGE 9

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Since L = 40, the number of bits in the above is 41 and K = 855 "0"s are appended, making the total now 896. This gives the following in hex: 61626364 65800000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 The 128-bit representation of L = 40 is hex 00000000 00000000 00000000 00000028. Hence the final padded message is the following hex: 61626364 65800000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000028 5. Functions and Constants Used The following subsections give the six logical functions and the table of constants used in each of the hash functions. 5.1. SHA-224 and SHA-256 SHA-224 and SHA-256 use six logical functions, where each function operates on 32-bit words, which are represented as x, y, and z. The result of each function is a new 32-bit word. CH( x, y, z) = (x AND y) XOR ( (NOT x) AND z) MAJ( x, y, z) = (x AND y) XOR (x AND z) XOR (y AND z) BSIG0(x) = ROTR^2(x) XOR ROTR^13(x) XOR ROTR^22(x) BSIG1(x) = ROTR^6(x) XOR ROTR^11(x) XOR ROTR^25(x) SSIG0(x) = ROTR^7(x) XOR ROTR^18(x) XOR SHR^3(x) SSIG1(x) = ROTR^17(x) XOR ROTR^19(x) XOR SHR^10(x) Eastlake & Hansen Informational PAGE 10

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 SHA-224 and SHA-256 use the same sequence of sixty-four constant 32-bit words, K0, K1, ..., K63. These words represent the first 32 bits of the fractional parts of the cube roots of the first sixty- four prime numbers. In hex, these constant words are as follows (from left to right): 428a2f98 71374491 b5c0fbcf e9b5dba5 3956c25b 59f111f1 923f82a4 ab1c5ed5 d807aa98 12835b01 243185be 550c7dc3 72be5d74 80deb1fe 9bdc06a7 c19bf174 e49b69c1 efbe4786 0fc19dc6 240ca1cc 2de92c6f 4a7484aa 5cb0a9dc 76f988da 983e5152 a831c66d b00327c8 bf597fc7 c6e00bf3 d5a79147 06ca6351 14292967 27b70a85 2e1b2138 4d2c6dfc 53380d13 650a7354 766a0abb 81c2c92e 92722c85 a2bfe8a1 a81a664b c24b8b70 c76c51a3 d192e819 d6990624 f40e3585 106aa070 19a4c116 1e376c08 2748774c 34b0bcb5 391c0cb3 4ed8aa4a 5b9cca4f 682e6ff3 748f82ee 78a5636f 84c87814 8cc70208 90befffa a4506ceb bef9a3f7 c67178f2 5.2. SHA-384 and SHA-512 SHA-384 and SHA-512 each use six logical functions, where each function operates on 64-bit words, which are represented as x, y, and z. The result of each function is a new 64-bit word. CH( x, y, z) = (x AND y) XOR ( (NOT x) AND z) MAJ( x, y, z) = (x AND y) XOR (x AND z) XOR (y AND z) BSIG0(x) = ROTR^28(x) XOR ROTR^34(x) XOR ROTR^39(x) BSIG1(x) = ROTR^14(x) XOR ROTR^18(x) XOR ROTR^41(x) SSIG0(x) = ROTR^1(x) XOR ROTR^8(x) XOR SHR^7(x) SSIG1(x) = ROTR^19(x) XOR ROTR^61(x) XOR SHR^6(x) SHA-384 and SHA-512 use the same sequence of eighty constant 64-bit words, K0, K1, ... K79. These words represent the first 64 bits of the fractional parts of the cube roots of the first eighty prime numbers. In hex, these constant words are as follows (from left to right): Eastlake & Hansen Informational PAGE 11

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 428a2f98d728ae22 7137449123ef65cd b5c0fbcfec4d3b2f e9b5dba58189dbbc 3956c25bf348b538 59f111f1b605d019 923f82a4af194f9b ab1c5ed5da6d8118 d807aa98a3030242 12835b0145706fbe 243185be4ee4b28c 550c7dc3d5ffb4e2 72be5d74f27b896f 80deb1fe3b1696b1 9bdc06a725c71235 c19bf174cf692694 e49b69c19ef14ad2 efbe4786384f25e3 0fc19dc68b8cd5b5 240ca1cc77ac9c65 2de92c6f592b0275 4a7484aa6ea6e483 5cb0a9dcbd41fbd4 76f988da831153b5 983e5152ee66dfab a831c66d2db43210 b00327c898fb213f bf597fc7beef0ee4 c6e00bf33da88fc2 d5a79147930aa725 06ca6351e003826f 142929670a0e6e70 27b70a8546d22ffc 2e1b21385c26c926 4d2c6dfc5ac42aed 53380d139d95b3df 650a73548baf63de 766a0abb3c77b2a8 81c2c92e47edaee6 92722c851482353b a2bfe8a14cf10364 a81a664bbc423001 c24b8b70d0f89791 c76c51a30654be30 d192e819d6ef5218 d69906245565a910 f40e35855771202a 106aa07032bbd1b8 19a4c116b8d2d0c8 1e376c085141ab53 2748774cdf8eeb99 34b0bcb5e19b48a8 391c0cb3c5c95a63 4ed8aa4ae3418acb 5b9cca4f7763e373 682e6ff3d6b2b8a3 748f82ee5defb2fc 78a5636f43172f60 84c87814a1f0ab72 8cc702081a6439ec 90befffa23631e28 a4506cebde82bde9 bef9a3f7b2c67915 c67178f2e372532b ca273eceea26619c d186b8c721c0c207 eada7dd6cde0eb1e f57d4f7fee6ed178 06f067aa72176fba 0a637dc5a2c898a6 113f9804bef90dae 1b710b35131c471b 28db77f523047d84 32caab7b40c72493 3c9ebe0a15c9bebc 431d67c49c100d4c 4cc5d4becb3e42b6 597f299cfc657e2a 5fcb6fab3ad6faec 6c44198c4a475817 6. Computing the Message Digest The output of each of the secure hash functions, after being applied to a message of N blocks, is the hash quantity H(N). For SHA-224 and SHA-256, H(i) can be considered to be eight 32-bit words, H(i)0, H(i)1, ... H(i)7. For SHA-384 and SHA-512, it can be considered to be eight 64-bit words, H(i)0, H(i)1, ..., H(i)7. As described below, the hash words are initialized, modified as each message block is processed, and finally concatenated after processing the last block to yield the output. For SHA-256 and SHA-512, all of the H(N) variables are concatenated while the SHA-224 and SHA-384 hashes are produced by omitting some from the final concatenation. 6.1. SHA-224 and SHA-256 Initialization For SHA-224, the initial hash value, H(0), consists of the following 32-bit words in hex: H(0)0 = c1059ed8 H(0)1 = 367cd507 H(0)2 = 3070dd17 H(0)3 = f70e5939 H(0)4 = ffc00b31 H(0)5 = 68581511 H(0)6 = 64f98fa7 H(0)7 = befa4fa4 Eastlake & Hansen Informational PAGE 12

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 For SHA-256, the initial hash value, H(0), consists of the following eight 32-bit words, in hex. These words were obtained by taking the first 32 bits of the fractional parts of the square roots of the first eight prime numbers. H(0)0 = 6a09e667 H(0)1 = bb67ae85 H(0)2 = 3c6ef372 H(0)3 = a54ff53a H(0)4 = 510e527f H(0)5 = 9b05688c H(0)6 = 1f83d9ab H(0)7 = 5be0cd19 6.2. SHA-224 and SHA-256 Processing SHA-224 and SHA-256 perform identical processing on message blocks and differ only in how H(0) is initialized and how they produce their final output. They may be used to hash a message, M, having a length of L bits, where 0 <= L < 2^64. The algorithm uses (1) a message schedule of sixty-four 32-bit words, (2) eight working variables of 32 bits each, and (3) a hash value of eight 32-bit words. The words of the message schedule are labeled W0, W1, ..., W63. The eight working variables are labeled a, b, c, d, e, f, g, and h. The words of the hash value are labeled H(i)0, H(i)1, ..., H(i)7, which will hold the initial hash value, H(0), replaced by each successive intermediate hash value (after each message block is processed), H(i), and ending with the final hash value, H(N), after all N blocks are processed. They also use two temporary words, T1 and T2. The input message is padded as described in Section 4.1 above, then parsed into 512-bit blocks that are considered to be composed of sixteen 32-bit words M(i)0, M(i)1, ..., M(i)15. The following computations are then performed for each of the N message blocks. All addition is performed modulo 2^32. For i = 1 to N 1. Prepare the message schedule W: For t = 0 to 15 Wt = M(i)t For t = 16 to 63 Wt = SSIG1(W(t-2)) + W(t-7) + SSIG0(w(t-15)) + W(t-16) Eastlake & Hansen Informational PAGE 13

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 2. Initialize the working variables: a = H(i-1)0 b = H(i-1)1 c = H(i-1)2 d = H(i-1)3 e = H(i-1)4 f = H(i-1)5 g = H(i-1)6 h = H(i-1)7 3. Perform the main hash computation: For t = 0 to 63 T1 = h + BSIG1(e) + CH(e,f,g) + Kt + Wt T2 = BSIG0(a) + MAJ(a,b,c) h = g g = f f = e e = d + T1 d = c c = b b = a a = T1 + T2 4. Compute the intermediate hash value H(i) H(i)0 = a + H(i-1)0 H(i)1 = b + H(i-1)1 H(i)2 = c + H(i-1)2 H(i)3 = d + H(i-1)3 H(i)4 = e + H(i-1)4 H(i)5 = f + H(i-1)5 H(i)6 = g + H(i-1)6 H(i)7 = h + H(i-1)7 After the above computations have been sequentially performed for all of the blocks in the message, the final output is calculated. For SHA-256, this is the concatenation of all of H(N)0, H(N)1, through H(N)7. For SHA-224, this is the concatenation of H(N)0, H(N)1, through H(N)6. 6.3. SHA-384 and SHA-512 Initialization For SHA-384, the initial hash value, H(0), consists of the following eight 64-bit words, in hex. These words were obtained by taking the first 64 bits of the fractional parts of the square roots of the ninth through sixteenth prime numbers. Eastlake & Hansen Informational PAGE 14

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 H(0)0 = cbbb9d5dc1059ed8 H(0)1 = 629a292a367cd507 H(0)2 = 9159015a3070dd17 H(0)3 = 152fecd8f70e5939 H(0)4 = 67332667ffc00b31 H(0)5 = 8eb44a8768581511 H(0)6 = db0c2e0d64f98fa7 H(0)7 = 47b5481dbefa4fa4 For SHA-512, the initial hash value, H(0), consists of the following eight 64-bit words, in hex. These words were obtained by taking the first 64 bits of the fractional parts of the square roots of the first eight prime numbers. H(0)0 = 6a09e667f3bcc908 H(0)1 = bb67ae8584caa73b H(0)2 = 3c6ef372fe94f82b H(0)3 = a54ff53a5f1d36f1 H(0)4 = 510e527fade682d1 H(0)5 = 9b05688c2b3e6c1f H(0)6 = 1f83d9abfb41bd6b H(0)7 = 5be0cd19137e2179 6.4. SHA-384 and SHA-512 Processing SHA-384 and SHA-512 perform identical processing on message blocks and differ only in how H(0) is initialized and how they produce their final output. They may be used to hash a message, M, having a length of L bits, where 0 <= L < 2^128. The algorithm uses (1) a message schedule of eighty 64-bit words, (2) eight working variables of 64 bits each, and (3) a hash value of eight 64-bit words. The words of the message schedule are labeled W0, W1, ..., W79. The eight working variables are labeled a, b, c, d, e, f, g, and h. The words of the hash value are labeled H(i)0, H(i)1, ..., H(i)7, which will hold the initial hash value, H(0), replaced by each successive intermediate hash value (after each message block is processed), H(i), and ending with the final hash value, H(N) after all N blocks are processed. The input message is padded as described in Section 4.2 above, then parsed into 1024-bit blocks that are considered to be composed of sixteen 64-bit words M(i)0, M(i)1, ..., M(i)15. The following computations are then performed for each of the N message blocks. All addition is performed modulo 2^64. Eastlake & Hansen Informational PAGE 15

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 For i = 1 to N 1. Prepare the message schedule W: For t = 0 to 15 Wt = M(i)t For t = 16 to 79 Wt = SSIG1(W(t-2)) + W(t-7) + SSIG0(W(t-15)) + W(t-16) 2. Initialize the working variables: a = H(i-1)0 b = H(i-1)1 c = H(i-1)2 d = H(i-1)3 e = H(i-1)4 f = H(i-1)5 g = H(i-1)6 h = H(i-1)7 3. Perform the main hash computation: For t = 0 to 79 T1 = h + BSIG1(e) + CH(e,f,g) + Kt + Wt T2 = BSIG0(a) + MAJ(a,b,c) h = g g = f f = e e = d + T1 d = c c = b b = a a = T1 + T2 4. Compute the intermediate hash value H(i) H(i)0 = a + H(i-1)0 H(i)1 = b + H(i-1)1 H(i)2 = c + H(i-1)2 H(i)3 = d + H(i-1)3 H(i)4 = e + H(i-1)4 H(i)5 = f + H(i-1)5 H(i)6 = g + H(i-1)6 H(i)7 = h + H(i-1)7 After the above computations have been sequentially performed for all of the blocks in the message, the final output is calculated. For SHA-512, this is the concatenation of all of H(N)0, H(N)1, through H(N)7. For SHA-384, this is the concatenation of H(N)0, H(N)1, through H(N)5. Eastlake & Hansen Informational PAGE 16

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 7. HKDF- and SHA-Based HMACs Below are brief descriptions and pointers to more complete descriptions and code for (1) SHA-based HMACs and (2) an HMAC-based extract-and-expand key derivation function. Both HKDF and HMAC were devised by Hugo Krawczyk. 7.1. SHA-Based HMACs HMAC is a method for computing a keyed MAC (Message Authentication Code) using a hash function as described in [RFC 2104]. It uses a key to mix in with the input text to produce the final hash. Sample code is also provided, in Section 8.3 below, to perform HMAC based on any of the SHA algorithms described herein. The sample code found in [RFC 2104] was written in terms of a specified text size. Since SHA is defined in terms of an arbitrary number of bits, the sample HMAC code has been written to allow the text input to HMAC to have an arbitrary number of octets and bits. A fixed-length interface is also provided. 7.2. HKDF HKDF is a specific Key Derivation Function (KDF), that is, a function of initial keying material from which the KDF derives one or more cryptographically strong secret keys. HKDF, which is described in [RFC 5869], is based on HMAC. Sample code for HKDF is provided in Section 8.4 below. 8. C Code for SHAs, HMAC, and HKDF Below is a demonstration implementation of these secure hash functions in C. Section 8.1 contains the header file sha.h that declares all constants, structures, and functions used by the SHA and HMAC functions. It includes conditionals based on the state of definition of USE_32BIT_ONLY that, if that symbol is defined at compile time, avoids 64-bit operations. It also contains sha- private.h that provides some declarations common to all the SHA functions. Section 8.2 contains the C code for sha1.c, sha224-256.c, sha384-512.c, and usha.c. Section 8.3 contains the C code for the HMAC functions, and Section 8.4 contains the C code for HKDF. Section 8.5 contains a test driver to exercise the code. For each of the digest lengths $$$, there is the following set of constants, a structure, and functions: Eastlake & Hansen Informational PAGE 17

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Constants: SHA$$$HashSize number of octets in the hash SHA$$$HashSizeBits number of bits in the hash SHA$$$_Message_Block_Size number of octets used in the intermediate message blocks Most functions return an enum value that is one of: shaSuccess(0) on success shaNull(1) when presented with a null pointer parameter shaInputTooLong(2) when the input data is too long shaStateError(3) when SHA$$$Input is called after SHA$$$FinalBits or SHA$$$Result Structure: typedef SHA$$$Context an opaque structure holding the complete state for producing the hash Functions: int SHA$$$Reset(SHA$$$Context *context); Reset the hash context state. int SHA$$$Input(SHA$$$Context *context, const uint8_t *octets, unsigned int bytecount); Incorporate bytecount octets into the hash. int SHA$$$FinalBits(SHA$$$Context *, const uint8_t octet, unsigned int bitcount); Incorporate bitcount bits into the hash. The bits are in the upper portion of the octet. SHA$$$Input() cannot be called after this. int SHA$$$Result(SHA$$$Context *, uint8_t Message_Digest[SHA$$$HashSize]); Do the final calculations on the hash and copy the value into Message_Digest. In addition, functions with the prefix USHA are provided that take a SHAversion value (SHA$$$) to select the SHA function suite. They add the following constants, structure, and functions: Constants: shaBadParam(4) constant returned by USHA functions when presented with a bad SHAversion (SHA$$$) parameter or other illegal parameter values USAMaxHashSize maximum of the SHA hash sizes SHA$$$ SHAversion enumeration values, used by USHA, HMAC, and HKDF functions to select the SHA function suite Eastlake & Hansen Informational PAGE 18

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Structure: typedef USHAContext an opaque structure holding the complete state for producing the hash Functions: int USHAReset(USHAContext *context, SHAversion whichSha); Reset the hash context state. int USHAInput(USHAContext context*, const uint8_t *bytes, unsigned int bytecount); Incorporate bytecount octets into the hash. int USHAFinalBits(USHAContext *context, const uint8_t bits, unsigned int bitcount); Incorporate bitcount bits into the hash. int USHAResult(USHAContext *context, uint8_t Message_Digest[USHAMaxHashSize]); Do the final calculations on the hash and copy the value into Message_Digest. Octets in Message_Digest beyond USHAHashSize(whichSha) are left untouched. int USHAHashSize(enum SHAversion whichSha); The number of octets in the given hash. int USHAHashSizeBits(enum SHAversion whichSha); The number of bits in the given hash. int USHABlockSize(enum SHAversion whichSha); The internal block size for the given hash. const char *USHAHashName(enum SHAversion whichSha); This function will return the name of the given SHA algorithm as a string. The HMAC functions follow the same pattern to allow any length of text input to be used. Structure: typedef HMACContext an opaque structure holding the complete state for producing the keyed message digest (MAC) Functions: int hmacReset(HMACContext *ctx, enum SHAversion whichSha, const unsigned char *key, int key_len); Reset the MAC context state. int hmacInput(HMACContext *ctx, const unsigned char *text, int text_len); Incorporate text_len octets into the MAC. int hmacFinalBits(HMACContext *ctx, const uint8_t bits, unsigned int bitcount); Incorporate bitcount bits into the MAC. int hmacResult(HMACContext *ctx, uint8_t Message_Digest[USHAMaxHashSize]); Eastlake & Hansen Informational PAGE 19

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Do the final calculations on the MAC and copy the value into Message_Digest. Octets in Message_Digest beyond USHAHashSize(whichSha) are left untouched. In addition, a combined interface is provided, similar to that shown in [RFC 2104], that allows a fixed-length text input to be used. int hmac(SHAversion whichSha, const unsigned char *text, int text_len, const unsigned char *key, int key_len, uint8_t Message_Digest[USHAMaxHashSize]); Calculate the given digest for the given text and key, and return the resulting MAC. Octets in Message_Digest beyond USHAHashSize(whichSha) are left untouched. The HKDF functions follow the same pattern to allow any length of text input to be used. Structure: typedef HKDFContext an opaque structure holding the complete state for producing the keying material Functions: int hkdfReset(HKDFContext *context, enum SHAversion whichSha, const unsigned char *salt, int salt_len) Reset the key derivation state and initialize it with the salt_len octets of the optional salt. int hkdfInput(HKDFContext *context, const unsigned char *ikm, int ikm_len) Incorporate ikm_len octets into the entropy extractor. int hkdfFinalBits(HKDFContext *context, uint8_t ikm_bits, unsigned int ikm_bit_count) Incorporate ikm_bit_count bits into the entropy extractor. int hkdfResult(HKDFContext *context, uint8_t prk[USHAMaxHashSize], const unsigned char *info, int info_len, uint8_t okm[ ], int okm_len) Finish the HKDF extraction and perform the final HKDF expansion, storing the okm_len octets into output keying material (okm). Optionally store the pseudo-random key (prk) that is generated internally. In addition, combined interfaces are provided, similar to that shown in [RFC 5869], that allows a fixed-length text input to be used. int hkdfExtract(SHAversion whichSha, const unsigned char *salt, int salt_len, const unsigned char *ikm, int ikm_len, uint8_t prk[USHAMaxHashSize]) Eastlake & Hansen Informational PAGE 20

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Perform HKDF extraction, combining the salt_len octets of the optional salt with the ikm_len octets of the input keying material (ikm) to form the pseudo-random key prk. The output prk must be large enough to hold the octets appropriate for the given hash type. int hkdfExpand(SHAversion whichSha, const uint8_t prk[ ], int prk_len, const unsigned char *info, int info_len, uint8_t okm[ ], int okm_len) Perform HKDF expansion, combining the prk_len octets of the pseudo-random key prk with the info_len octets of info to form the okm_len octets stored in okm. int hkdf(SHAversion whichSha, const unsigned char *salt, int salt_len, const unsigned char *ikm, int ikm_len, const unsigned char *info, int info_len, uint8_t okm[ ], int okm_len) This combined interface performs both HKDF extraction and expansion. The variables are the same as in hkdfExtract() and hkdfExpand(). 8.1. The Header Files 8.1.1. The .h file The following sha.h file, as stated in the comments within the file, assumes that <stdint.h> is available on your system. If it is not, you should change to including <stdint-example.h>, provided in Section 8.1.2, or the like. /**************************** sha.h ****************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as authors of the code. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: - Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. Eastlake & Hansen Informational PAGE 21

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 - Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. - Neither the name of Internet Society, IETF or IETF Trust, nor the names of specific contributors, may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #ifndef _SHA_H_ #define _SHA_H_ /* * Description: * This file implements the Secure Hash Algorithms * as defined in the U.S. National Institute of Standards * and Technology Federal Information Processing Standards * Publication (FIPS PUB) 180-3 published in October 2008 * and formerly defined in its predecessors, FIPS PUB 180-1 * and FIP PUB 180-2. * * A combined document showing all algorithms is available at * http://csrc.nist.gov/publications/fips/ * fips180-3/fips180-3_final.pdf * * The five hashes are defined in these sizes: * SHA-1 20 byte / 160 bit * SHA-224 28 byte / 224 bit * SHA-256 32 byte / 256 bit * SHA-384 48 byte / 384 bit * SHA-512 64 byte / 512 bit * Eastlake & Hansen Informational PAGE 22

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * Compilation Note: * These files may be compiled with two options: * USE_32BIT_ONLY - use 32-bit arithmetic only, for systems * without 64-bit integers * * USE_MODIFIED_MACROS - use alternate form of the SHA_Ch() * and SHA_Maj() macros that are equivalent * and potentially faster on many systems * */ #include <stdint.h> /* * If you do not have the ISO standard stdint.h header file, then you * must typedef the following: * name meaning * uint64_t unsigned 64-bit integer * uint32_t unsigned 32-bit integer * uint8_t unsigned 8-bit integer (i.e., unsigned char) * int_least16_t integer of >= 16 bits * * See stdint-example.h */ #ifndef _SHA_enum_ #define _SHA_enum_ /* * All SHA functions return one of these values. */ enum { shaSuccess = 0, shaNull, /* Null pointer parameter */ shaInputTooLong, /* input data too long */ shaStateError, /* called Input after FinalBits or Result */ shaBadParam /* passed a bad parameter */ }; #endif /* _SHA_enum_ */ /* * These constants hold size information for each of the SHA * hashing operations */ enum { SHA1_Message_Block_Size = 64, SHA224_Message_Block_Size = 64, SHA256_Message_Block_Size = 64, SHA384_Message_Block_Size = 128, SHA512_Message_Block_Size = 128, USHA_Max_Message_Block_Size = SHA512_Message_Block_Size, Eastlake & Hansen Informational PAGE 23

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 SHA1HashSize = 20, SHA224HashSize = 28, SHA256HashSize = 32, SHA384HashSize = 48, SHA512HashSize = 64, USHAMaxHashSize = SHA512HashSize, SHA1HashSizeBits = 160, SHA224HashSizeBits = 224, SHA256HashSizeBits = 256, SHA384HashSizeBits = 384, SHA512HashSizeBits = 512, USHAMaxHashSizeBits = SHA512HashSizeBits }; /* * These constants are used in the USHA (Unified SHA) functions. */ typedef enum SHAversion { SHA1, SHA224, SHA256, SHA384, SHA512 } SHAversion; /* * This structure will hold context information for the SHA-1 * hashing operation. */ typedef struct SHA1Context { uint32_t Intermediate_Hash[SHA1HashSize/4]; /* Message Digest */ uint32_t Length_High; /* Message length in bits */ uint32_t Length_Low; /* Message length in bits */ int_least16_t Message_Block_Index; /* Message_Block array index */ /* 512-bit message blocks */ uint8_t Message_Block[SHA1_Message_Block_Size]; int Computed; /* Is the hash computed? */ int Corrupted; /* Cumulative corruption code */ } SHA1Context; /* * This structure will hold context information for the SHA-256 * hashing operation. */ typedef struct SHA256Context { uint32_t Intermediate_Hash[SHA256HashSize/4]; /* Message Digest */ uint32_t Length_High; /* Message length in bits */ uint32_t Length_Low; /* Message length in bits */ int_least16_t Message_Block_Index; /* Message_Block array index */ /* 512-bit message blocks */ uint8_t Message_Block[SHA256_Message_Block_Size]; Eastlake & Hansen Informational PAGE 24

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 int Computed; /* Is the hash computed? */ int Corrupted; /* Cumulative corruption code */ } SHA256Context; /* * This structure will hold context information for the SHA-512 * hashing operation. */ typedef struct SHA512Context { #ifdef USE_32BIT_ONLY uint32_t Intermediate_Hash[SHA512HashSize/4]; /* Message Digest */ uint32_t Length[4]; /* Message length in bits */ #else /* !USE_32BIT_ONLY */ uint64_t Intermediate_Hash[SHA512HashSize/8]; /* Message Digest */ uint64_t Length_High, Length_Low; /* Message length in bits */ #endif /* USE_32BIT_ONLY */ int_least16_t Message_Block_Index; /* Message_Block array index */ /* 1024-bit message blocks */ uint8_t Message_Block[SHA512_Message_Block_Size]; int Computed; /* Is the hash computed?*/ int Corrupted; /* Cumulative corruption code */ } SHA512Context; /* * This structure will hold context information for the SHA-224 * hashing operation. It uses the SHA-256 structure for computation. */ typedef struct SHA256Context SHA224Context; /* * This structure will hold context information for the SHA-384 * hashing operation. It uses the SHA-512 structure for computation. */ typedef struct SHA512Context SHA384Context; /* * This structure holds context information for all SHA * hashing operations. */ typedef struct USHAContext { int whichSha; /* which SHA is being used */ union { SHA1Context sha1Context; SHA224Context sha224Context; SHA256Context sha256Context; SHA384Context sha384Context; SHA512Context sha512Context; } ctx; Eastlake & Hansen Informational PAGE 25

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 } USHAContext; /* * This structure will hold context information for the HMAC * keyed-hashing operation. */ typedef struct HMACContext { int whichSha; /* which SHA is being used */ int hashSize; /* hash size of SHA being used */ int blockSize; /* block size of SHA being used */ USHAContext shaContext; /* SHA context */ unsigned char k_opad[USHA_Max_Message_Block_Size]; /* outer padding - key XORd with opad */ int Computed; /* Is the MAC computed? */ int Corrupted; /* Cumulative corruption code */ } HMACContext; /* * This structure will hold context information for the HKDF * extract-and-expand Key Derivation Functions. */ typedef struct HKDFContext { int whichSha; /* which SHA is being used */ HMACContext hmacContext; int hashSize; /* hash size of SHA being used */ unsigned char prk[USHAMaxHashSize]; /* pseudo-random key - output of hkdfInput */ int Computed; /* Is the key material computed? */ int Corrupted; /* Cumulative corruption code */ } HKDFContext; /* * Function Prototypes */ /* SHA-1 */ extern int SHA1Reset(SHA1Context *); extern int SHA1Input(SHA1Context *, const uint8_t *bytes, unsigned int bytecount); extern int SHA1FinalBits(SHA1Context *, uint8_t bits, unsigned int bit_count); extern int SHA1Result(SHA1Context *, uint8_t Message_Digest[SHA1HashSize]); Eastlake & Hansen Informational PAGE 26

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* SHA-224 */ extern int SHA224Reset(SHA224Context *); extern int SHA224Input(SHA224Context *, const uint8_t *bytes, unsigned int bytecount); extern int SHA224FinalBits(SHA224Context *, uint8_t bits, unsigned int bit_count); extern int SHA224Result(SHA224Context *, uint8_t Message_Digest[SHA224HashSize]); /* SHA-256 */ extern int SHA256Reset(SHA256Context *); extern int SHA256Input(SHA256Context *, const uint8_t *bytes, unsigned int bytecount); extern int SHA256FinalBits(SHA256Context *, uint8_t bits, unsigned int bit_count); extern int SHA256Result(SHA256Context *, uint8_t Message_Digest[SHA256HashSize]); /* SHA-384 */ extern int SHA384Reset(SHA384Context *); extern int SHA384Input(SHA384Context *, const uint8_t *bytes, unsigned int bytecount); extern int SHA384FinalBits(SHA384Context *, uint8_t bits, unsigned int bit_count); extern int SHA384Result(SHA384Context *, uint8_t Message_Digest[SHA384HashSize]); /* SHA-512 */ extern int SHA512Reset(SHA512Context *); extern int SHA512Input(SHA512Context *, const uint8_t *bytes, unsigned int bytecount); extern int SHA512FinalBits(SHA512Context *, uint8_t bits, unsigned int bit_count); extern int SHA512Result(SHA512Context *, uint8_t Message_Digest[SHA512HashSize]); /* Unified SHA functions, chosen by whichSha */ extern int USHAReset(USHAContext *context, SHAversion whichSha); extern int USHAInput(USHAContext *context, const uint8_t *bytes, unsigned int bytecount); extern int USHAFinalBits(USHAContext *context, uint8_t bits, unsigned int bit_count); extern int USHAResult(USHAContext *context, uint8_t Message_Digest[USHAMaxHashSize]); extern int USHABlockSize(enum SHAversion whichSha); extern int USHAHashSize(enum SHAversion whichSha); extern int USHAHashSizeBits(enum SHAversion whichSha); extern const char *USHAHashName(enum SHAversion whichSha); Eastlake & Hansen Informational PAGE 27

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * HMAC Keyed-Hashing for Message Authentication, RFC 2104, * for all SHAs. * This interface allows a fixed-length text input to be used. */ extern int hmac(SHAversion whichSha, /* which SHA algorithm to use */ const unsigned char *text, /* pointer to data stream */ int text_len, /* length of data stream */ const unsigned char *key, /* pointer to authentication key */ int key_len, /* length of authentication key */ uint8_t digest[USHAMaxHashSize]); /* caller digest to fill in */ /* * HMAC Keyed-Hashing for Message Authentication, RFC 2104, * for all SHAs. * This interface allows any length of text input to be used. */ extern int hmacReset(HMACContext *context, enum SHAversion whichSha, const unsigned char *key, int key_len); extern int hmacInput(HMACContext *context, const unsigned char *text, int text_len); extern int hmacFinalBits(HMACContext *context, uint8_t bits, unsigned int bit_count); extern int hmacResult(HMACContext *context, uint8_t digest[USHAMaxHashSize]); /* * HKDF HMAC-based Extract-and-Expand Key Derivation Function, * RFC 5869, for all SHAs. */ extern int hkdf(SHAversion whichSha, const unsigned char *salt, int salt_len, const unsigned char *ikm, int ikm_len, const unsigned char *info, int info_len, uint8_t okm[ ], int okm_len); extern int hkdfExtract(SHAversion whichSha, const unsigned char *salt, int salt_len, const unsigned char *ikm, int ikm_len, uint8_t prk[USHAMaxHashSize]); extern int hkdfExpand(SHAversion whichSha, const uint8_t prk[ ], int prk_len, const unsigned char *info, int info_len, uint8_t okm[ ], int okm_len); /* * HKDF HMAC-based Extract-and-Expand Key Derivation Function, * RFC 5869, for all SHAs. * This interface allows any length of text input to be used. */ extern int hkdfReset(HKDFContext *context, enum SHAversion whichSha, const unsigned char *salt, int salt_len); Eastlake & Hansen Informational PAGE 28

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 extern int hkdfInput(HKDFContext *context, const unsigned char *ikm, int ikm_len); extern int hkdfFinalBits(HKDFContext *context, uint8_t ikm_bits, unsigned int ikm_bit_count); extern int hkdfResult(HKDFContext *context, uint8_t prk[USHAMaxHashSize], const unsigned char *info, int info_len, uint8_t okm[USHAMaxHashSize], int okm_len); #endif /* _SHA_H_ */ 8.1.2. stdint-example.h If your system does not have <stdint.h>, the following should be adequate as a substitute for compiling the other code in this document. /*********************** stdint-example.h **********************/ /**** Use this file if your system does not have a stdint.h. ***/ /***************** See RFC 6234 for details. *******************/ #ifndef STDINT_H #define STDINT_H typedef unsigned long long uint64_t; /* unsigned 64-bit integer */ typedef unsigned int uint32_t; /* unsigned 32-bit integer */ typedef unsigned char uint8_t; /* unsigned 8-bit integer */ /* (i.e., unsigned char) */ typedef int int_least32_t; /* integer of >= 32 bits */ typedef short int_least16_t; /* integer of >= 16 bits */ #endif /* STDINT_H */ 8.1.3. sha-private.h The sha-private.h header file contains definitions that should only be needed internally in the other code in this document. These definitions should not be needed in application code calling the code provided in this document. /************************ sha-private.h ************************/ /***************** See RFC 6234 for details. *******************/ #ifndef _SHA_PRIVATE__H #define _SHA_PRIVATE__H /* * These definitions are defined in FIPS 180-3, section 4.1. * Ch() and Maj() are defined identically in sections 4.1.1, * 4.1.2, and 4.1.3. * * The definitions used in FIPS 180-3 are as follows: */ Eastlake & Hansen Informational PAGE 29

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 #ifndef USE_MODIFIED_MACROS #define SHA_Ch(x,y,z) (((x) & (y)) ^ ((~(x)) & (z))) #define SHA_Maj(x,y,z) (((x) & (y)) ^ ((x) & (z)) ^ ((y) & (z))) #else /* USE_MODIFIED_MACROS */ /* * The following definitions are equivalent and potentially faster. */ #define SHA_Ch(x, y, z) (((x) & ((y) ^ (z))) ^ (z)) #define SHA_Maj(x, y, z) (((x) & ((y) | (z))) | ((y) & (z))) #endif /* USE_MODIFIED_MACROS */ #define SHA_Parity(x, y, z) ((x) ^ (y) ^ (z)) #endif /* _SHA_PRIVATE__H */ 8.2. The SHA Code This code is primarily intended as expository reference code and could be optimized further. For example, the assignment rotations through the variables a, b, ..., h could be treated as a cycle and the loop unrolled, rather than doing the explicit copying. Note that there are alternative representations of the Ch() and Maj() functions controlled by an ifdef. 8.2.1. sha1.c /**************************** sha1.c ***************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as */ /* authors of the code. All rights reserved. */ /* See sha.h for terms of use and redistribution. */ /* * Description: * This file implements the Secure Hash Algorithm SHA-1 * as defined in the U.S. National Institute of Standards * and Technology Federal Information Processing Standards * Publication (FIPS PUB) 180-3 published in October 2008 * and formerly defined in its predecessors, FIPS PUB 180-1 * and FIP PUB 180-2. * * A combined document showing all algorithms is available at * http://csrc.nist.gov/publications/fips/ * fips180-3/fips180-3_final.pdf * Eastlake & Hansen Informational PAGE 30

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * The SHA-1 algorithm produces a 160-bit message digest for a * given data stream that can serve as a means of providing a * "fingerprint" for a message. * * Portability Issues: * SHA-1 is defined in terms of 32-bit "words". This code * uses <stdint.h> (included via "sha.h") to define 32- and * 8-bit unsigned integer types. If your C compiler does * not support 32-bit unsigned integers, this code is not * appropriate. * * Caveats: * SHA-1 is designed to work with messages less than 2^64 bits * long. This implementation uses SHA1Input() to hash the bits * that are a multiple of the size of an 8-bit octet, and then * optionally uses SHA1FinalBits() to hash the final few bits of * the input. */ #include "sha.h" #include "sha-private.h" /* * Define the SHA1 circular left shift macro */ #define SHA1_ROTL(bits,word) \ (((word) << (bits)) | ((word) >> (32-(bits)))) /* * Add "length" to the length. * Set Corrupted when overflow has occurred. */ static uint32_t addTemp; #define SHA1AddLength(context, length) \ (addTemp = (context)->Length_Low, \ (context)->Corrupted = \ (((context)->Length_Low += (length)) < addTemp) && \ (++(context)->Length_High == 0) ? shaInputTooLong \ : (context)->Corrupted ) /* Local Function Prototypes */ static void SHA1ProcessMessageBlock(SHA1Context *context); static void SHA1Finalize(SHA1Context *context, uint8_t Pad_Byte); static void SHA1PadMessage(SHA1Context *context, uint8_t Pad_Byte); Eastlake & Hansen Informational PAGE 31

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * SHA1Reset * * Description: * This function will initialize the SHA1Context in preparation * for computing a new SHA1 message digest. * * Parameters: * context: [in/out] * The context to reset. * * Returns: * sha Error Code. * */ int SHA1Reset(SHA1Context *context) { if (!context) return shaNull; context->Length_High = context->Length_Low = 0; context->Message_Block_Index = 0; /* Initial Hash Values: FIPS 180-3 section 5.3.1 */ context->Intermediate_Hash[0] = 0x67452301; context->Intermediate_Hash[1] = 0xEFCDAB89; context->Intermediate_Hash[2] = 0x98BADCFE; context->Intermediate_Hash[3] = 0x10325476; context->Intermediate_Hash[4] = 0xC3D2E1F0; context->Computed = 0; context->Corrupted = shaSuccess; return shaSuccess; } /* * SHA1Input * * Description: * This function accepts an array of octets as the next portion * of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_array[ ]: [in] * An array of octets representing the next portion of * the message. Eastlake & Hansen Informational PAGE 32

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * length: [in] * The length of the message in message_array. * * Returns: * sha Error Code. * */ int SHA1Input(SHA1Context *context, const uint8_t *message_array, unsigned length) { if (!context) return shaNull; if (!length) return shaSuccess; if (!message_array) return shaNull; if (context->Computed) return context->Corrupted = shaStateError; if (context->Corrupted) return context->Corrupted; while (length--) { context->Message_Block[context->Message_Block_Index++] = *message_array; if ((SHA1AddLength(context, 8) == shaSuccess) && (context->Message_Block_Index == SHA1_Message_Block_Size)) SHA1ProcessMessageBlock(context); message_array++; } return context->Corrupted; } /* * SHA1FinalBits * * Description: * This function will add in any final bits of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_bits: [in] * The final bits of the message, in the upper portion of the * byte. (Use 0b###00000 instead of 0b00000### to input the * three bits ###.) * length: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. Eastlake & Hansen Informational PAGE 33

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 */ int SHA1FinalBits(SHA1Context *context, uint8_t message_bits, unsigned int length) { static uint8_t masks[8] = { /* 0 0b00000000 */ 0x00, /* 1 0b10000000 */ 0x80, /* 2 0b11000000 */ 0xC0, /* 3 0b11100000 */ 0xE0, /* 4 0b11110000 */ 0xF0, /* 5 0b11111000 */ 0xF8, /* 6 0b11111100 */ 0xFC, /* 7 0b11111110 */ 0xFE }; static uint8_t markbit[8] = { /* 0 0b10000000 */ 0x80, /* 1 0b01000000 */ 0x40, /* 2 0b00100000 */ 0x20, /* 3 0b00010000 */ 0x10, /* 4 0b00001000 */ 0x08, /* 5 0b00000100 */ 0x04, /* 6 0b00000010 */ 0x02, /* 7 0b00000001 */ 0x01 }; if (!context) return shaNull; if (!length) return shaSuccess; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; if (length >= 8) return context->Corrupted = shaBadParam; SHA1AddLength(context, length); SHA1Finalize(context, (uint8_t) ((message_bits & masks[length]) | markbit[length])); return context->Corrupted; } /* * SHA1Result * * Description: * This function will return the 160-bit message digest * into the Message_Digest array provided by the caller. * NOTE: * The first octet of hash is stored in the element with index 0, * the last octet of hash in the element with index 19. * * Parameters: * context: [in/out] * The context to use to calculate the SHA-1 hash. * Message_Digest[ ]: [out] * Where the digest is returned. * Eastlake & Hansen Informational PAGE 34

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * Returns: * sha Error Code. * */ int SHA1Result(SHA1Context *context, uint8_t Message_Digest[SHA1HashSize]) { int i; if (!context) return shaNull; if (!Message_Digest) return shaNull; if (context->Corrupted) return context->Corrupted; if (!context->Computed) SHA1Finalize(context, 0x80); for (i = 0; i < SHA1HashSize; ++i) Message_Digest[i] = (uint8_t) (context->Intermediate_Hash[i>>2] >> (8 * ( 3 - ( i & 0x03 ) ))); return shaSuccess; } /* * SHA1ProcessMessageBlock * * Description: * This helper function will process the next 512 bits of the * message stored in the Message_Block array. * * Parameters: * context: [in/out] * The SHA context to update. * * Returns: * Nothing. * * Comments: * Many of the variable names in this code, especially the * single character names, were used because those were the * names used in the Secure Hash Standard. */ static void SHA1ProcessMessageBlock(SHA1Context *context) { /* Constants defined in FIPS 180-3, section 4.2.1 */ const uint32_t K[4] = { 0x5A827999, 0x6ED9EBA1, 0x8F1BBCDC, 0xCA62C1D6 }; Eastlake & Hansen Informational PAGE 35

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 int t; /* Loop counter */ uint32_t temp; /* Temporary word value */ uint32_t W[80]; /* Word sequence */ uint32_t A, B, C, D, E; /* Word buffers */ /* * Initialize the first 16 words in the array W */ for (t = 0; t < 16; t++) { W[t] = ((uint32_t)context->Message_Block[t * 4]) << 24; W[t] |= ((uint32_t)context->Message_Block[t * 4 + 1]) << 16; W[t] |= ((uint32_t)context->Message_Block[t * 4 + 2]) << 8; W[t] |= ((uint32_t)context->Message_Block[t * 4 + 3]); } for (t = 16; t < 80; t++) W[t] = SHA1_ROTL(1, W[t-3] ^ W[t-8] ^ W[t-14] ^ W[t-16]); A = context->Intermediate_Hash[0]; B = context->Intermediate_Hash[1]; C = context->Intermediate_Hash[2]; D = context->Intermediate_Hash[3]; E = context->Intermediate_Hash[4]; for (t = 0; t < 20; t++) { temp = SHA1_ROTL(5,A) + SHA_Ch(B, C, D) + E + W[t] + K[0]; E = D; D = C; C = SHA1_ROTL(30,B); B = A; A = temp; } for (t = 20; t < 40; t++) { temp = SHA1_ROTL(5,A) + SHA_Parity(B, C, D) + E + W[t] + K[1]; E = D; D = C; C = SHA1_ROTL(30,B); B = A; A = temp; } for (t = 40; t < 60; t++) { temp = SHA1_ROTL(5,A) + SHA_Maj(B, C, D) + E + W[t] + K[2]; E = D; D = C; C = SHA1_ROTL(30,B); B = A; Eastlake & Hansen Informational PAGE 36

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 A = temp; } for (t = 60; t < 80; t++) { temp = SHA1_ROTL(5,A) + SHA_Parity(B, C, D) + E + W[t] + K[3]; E = D; D = C; C = SHA1_ROTL(30,B); B = A; A = temp; } context->Intermediate_Hash[0] += A; context->Intermediate_Hash[1] += B; context->Intermediate_Hash[2] += C; context->Intermediate_Hash[3] += D; context->Intermediate_Hash[4] += E; context->Message_Block_Index = 0; } /* * SHA1Finalize * * Description: * This helper function finishes off the digest calculations. * * Parameters: * context: [in/out] * The SHA context to update. * Pad_Byte: [in] * The last byte to add to the message block before the 0-padding * and length. This will contain the last bits of the message * followed by another single bit. If the message was an * exact multiple of 8-bits long, Pad_Byte will be 0x80. * * Returns: * sha Error Code. * */ static void SHA1Finalize(SHA1Context *context, uint8_t Pad_Byte) { int i; SHA1PadMessage(context, Pad_Byte); /* message may be sensitive, clear it out */ for (i = 0; i < SHA1_Message_Block_Size; ++i) context->Message_Block[i] = 0; context->Length_High = 0; /* and clear length */ context->Length_Low = 0; Eastlake & Hansen Informational PAGE 37

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 context->Computed = 1; } /* * SHA1PadMessage * * Description: * According to the standard, the message must be padded to the next * even multiple of 512 bits. The first padding bit must be a '1'. * The last 64 bits represent the length of the original message. * All bits in between should be 0. This helper function will pad * the message according to those rules by filling the Message_Block * array accordingly. When it returns, it can be assumed that the * message digest has been computed. * * Parameters: * context: [in/out] * The context to pad. * Pad_Byte: [in] * The last byte to add to the message block before the 0-padding * and length. This will contain the last bits of the message * followed by another single bit. If the message was an * exact multiple of 8-bits long, Pad_Byte will be 0x80. * * Returns: * Nothing. */ static void SHA1PadMessage(SHA1Context *context, uint8_t Pad_Byte) { /* * Check to see if the current message block is too small to hold * the initial padding bits and length. If so, we will pad the * block, process it, and then continue padding into a second * block. */ if (context->Message_Block_Index >= (SHA1_Message_Block_Size - 8)) { context->Message_Block[context->Message_Block_Index++] = Pad_Byte; while (context->Message_Block_Index < SHA1_Message_Block_Size) context->Message_Block[context->Message_Block_Index++] = 0; SHA1ProcessMessageBlock(context); } else context->Message_Block[context->Message_Block_Index++] = Pad_Byte; while (context->Message_Block_Index < (SHA1_Message_Block_Size - 8)) context->Message_Block[context->Message_Block_Index++] = 0; Eastlake & Hansen Informational PAGE 38

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * Store the message length as the last 8 octets */ context->Message_Block[56] = (uint8_t) (context->Length_High >> 24); context->Message_Block[57] = (uint8_t) (context->Length_High >> 16); context->Message_Block[58] = (uint8_t) (context->Length_High >> 8); context->Message_Block[59] = (uint8_t) (context->Length_High); context->Message_Block[60] = (uint8_t) (context->Length_Low >> 24); context->Message_Block[61] = (uint8_t) (context->Length_Low >> 16); context->Message_Block[62] = (uint8_t) (context->Length_Low >> 8); context->Message_Block[63] = (uint8_t) (context->Length_Low); SHA1ProcessMessageBlock(context); } 8.2.2. sha224-256.c /************************* sha224-256.c ************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as */ /* authors of the code. All rights reserved. */ /* See sha.h for terms of use and redistribution. */ /* * Description: * This file implements the Secure Hash Algorithms SHA-224 and * SHA-256 as defined in the U.S. National Institute of Standards * and Technology Federal Information Processing Standards * Publication (FIPS PUB) 180-3 published in October 2008 * and formerly defined in its predecessors, FIPS PUB 180-1 * and FIP PUB 180-2. * * A combined document showing all algorithms is available at * http://csrc.nist.gov/publications/fips/ * fips180-3/fips180-3_final.pdf * * The SHA-224 and SHA-256 algorithms produce 224-bit and 256-bit * message digests for a given data stream. It should take about * 2**n steps to find a message with the same digest as a given * message and 2**(n/2) to find any two messages with the same * digest, when n is the digest size in bits. Therefore, this * algorithm can serve as a means of providing a * "fingerprint" for a message. * * Portability Issues: * SHA-224 and SHA-256 are defined in terms of 32-bit "words". * This code uses <stdint.h> (included via "sha.h") to define 32- * and 8-bit unsigned integer types. If your C compiler does not Eastlake & Hansen Informational PAGE 39

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * support 32-bit unsigned integers, this code is not * appropriate. * * Caveats: * SHA-224 and SHA-256 are designed to work with messages less * than 2^64 bits long. This implementation uses SHA224/256Input() * to hash the bits that are a multiple of the size of an 8-bit * octet, and then optionally uses SHA224/256FinalBits() * to hash the final few bits of the input. */ #include "sha.h" #include "sha-private.h" /* Define the SHA shift, rotate left, and rotate right macros */ #define SHA256_SHR(bits,word) ((word) >> (bits)) #define SHA256_ROTL(bits,word) \ (((word) << (bits)) | ((word) >> (32-(bits)))) #define SHA256_ROTR(bits,word) \ (((word) >> (bits)) | ((word) << (32-(bits)))) /* Define the SHA SIGMA and sigma macros */ #define SHA256_SIGMA0(word) \ (SHA256_ROTR( 2,word) ^ SHA256_ROTR(13,word) ^ SHA256_ROTR(22,word)) #define SHA256_SIGMA1(word) \ (SHA256_ROTR( 6,word) ^ SHA256_ROTR(11,word) ^ SHA256_ROTR(25,word)) #define SHA256_sigma0(word) \ (SHA256_ROTR( 7,word) ^ SHA256_ROTR(18,word) ^ SHA256_SHR( 3,word)) #define SHA256_sigma1(word) \ (SHA256_ROTR(17,word) ^ SHA256_ROTR(19,word) ^ SHA256_SHR(10,word)) /* * Add "length" to the length. * Set Corrupted when overflow has occurred. */ static uint32_t addTemp; #define SHA224_256AddLength(context, length) \ (addTemp = (context)->Length_Low, (context)->Corrupted = \ (((context)->Length_Low += (length)) < addTemp) && \ (++(context)->Length_High == 0) ? shaInputTooLong : \ (context)->Corrupted ) /* Local Function Prototypes */ static int SHA224_256Reset(SHA256Context *context, uint32_t *H0); static void SHA224_256ProcessMessageBlock(SHA256Context *context); static void SHA224_256Finalize(SHA256Context *context, uint8_t Pad_Byte); static void SHA224_256PadMessage(SHA256Context *context, Eastlake & Hansen Informational PAGE 40

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 uint8_t Pad_Byte); static int SHA224_256ResultN(SHA256Context *context, uint8_t Message_Digest[ ], int HashSize); /* Initial Hash Values: FIPS 180-3 section 5.3.2 */ static uint32_t SHA224_H0[SHA256HashSize/4] = { 0xC1059ED8, 0x367CD507, 0x3070DD17, 0xF70E5939, 0xFFC00B31, 0x68581511, 0x64F98FA7, 0xBEFA4FA4 }; /* Initial Hash Values: FIPS 180-3 section 5.3.3 */ static uint32_t SHA256_H0[SHA256HashSize/4] = { 0x6A09E667, 0xBB67AE85, 0x3C6EF372, 0xA54FF53A, 0x510E527F, 0x9B05688C, 0x1F83D9AB, 0x5BE0CD19 }; /* * SHA224Reset * * Description: * This function will initialize the SHA224Context in preparation * for computing a new SHA224 message digest. * * Parameters: * context: [in/out] * The context to reset. * * Returns: * sha Error Code. */ int SHA224Reset(SHA224Context *context) { return SHA224_256Reset(context, SHA224_H0); } /* * SHA224Input * * Description: * This function accepts an array of octets as the next portion * of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_array[ ]: [in] * An array of octets representing the next portion of * the message. Eastlake & Hansen Informational PAGE 41

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * length: [in] * The length of the message in message_array. * * Returns: * sha Error Code. * */ int SHA224Input(SHA224Context *context, const uint8_t *message_array, unsigned int length) { return SHA256Input(context, message_array, length); } /* * SHA224FinalBits * * Description: * This function will add in any final bits of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_bits: [in] * The final bits of the message, in the upper portion of the * byte. (Use 0b###00000 instead of 0b00000### to input the * three bits ###.) * length: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. */ int SHA224FinalBits(SHA224Context *context, uint8_t message_bits, unsigned int length) { return SHA256FinalBits(context, message_bits, length); } /* * SHA224Result * * Description: * This function will return the 224-bit message digest * into the Message_Digest array provided by the caller. * NOTE: * The first octet of hash is stored in the element with index 0, * the last octet of hash in the element with index 27. * Eastlake & Hansen Informational PAGE 42

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * Parameters: * context: [in/out] * The context to use to calculate the SHA hash. * Message_Digest[ ]: [out] * Where the digest is returned. * * Returns: * sha Error Code. */ int SHA224Result(SHA224Context *context, uint8_t Message_Digest[SHA224HashSize]) { return SHA224_256ResultN(context, Message_Digest, SHA224HashSize); } /* * SHA256Reset * * Description: * This function will initialize the SHA256Context in preparation * for computing a new SHA256 message digest. * * Parameters: * context: [in/out] * The context to reset. * * Returns: * sha Error Code. */ int SHA256Reset(SHA256Context *context) { return SHA224_256Reset(context, SHA256_H0); } /* * SHA256Input * * Description: * This function accepts an array of octets as the next portion * of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_array[ ]: [in] * An array of octets representing the next portion of * the message. Eastlake & Hansen Informational PAGE 43

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * length: [in] * The length of the message in message_array. * * Returns: * sha Error Code. */ int SHA256Input(SHA256Context *context, const uint8_t *message_array, unsigned int length) { if (!context) return shaNull; if (!length) return shaSuccess; if (!message_array) return shaNull; if (context->Computed) return context->Corrupted = shaStateError; if (context->Corrupted) return context->Corrupted; while (length--) { context->Message_Block[context->Message_Block_Index++] = *message_array; if ((SHA224_256AddLength(context, 8) == shaSuccess) && (context->Message_Block_Index == SHA256_Message_Block_Size)) SHA224_256ProcessMessageBlock(context); message_array++; } return context->Corrupted; } /* * SHA256FinalBits * * Description: * This function will add in any final bits of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_bits: [in] * The final bits of the message, in the upper portion of the * byte. (Use 0b###00000 instead of 0b00000### to input the * three bits ###.) * length: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. Eastlake & Hansen Informational PAGE 44

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 */ int SHA256FinalBits(SHA256Context *context, uint8_t message_bits, unsigned int length) { static uint8_t masks[8] = { /* 0 0b00000000 */ 0x00, /* 1 0b10000000 */ 0x80, /* 2 0b11000000 */ 0xC0, /* 3 0b11100000 */ 0xE0, /* 4 0b11110000 */ 0xF0, /* 5 0b11111000 */ 0xF8, /* 6 0b11111100 */ 0xFC, /* 7 0b11111110 */ 0xFE }; static uint8_t markbit[8] = { /* 0 0b10000000 */ 0x80, /* 1 0b01000000 */ 0x40, /* 2 0b00100000 */ 0x20, /* 3 0b00010000 */ 0x10, /* 4 0b00001000 */ 0x08, /* 5 0b00000100 */ 0x04, /* 6 0b00000010 */ 0x02, /* 7 0b00000001 */ 0x01 }; if (!context) return shaNull; if (!length) return shaSuccess; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; if (length >= 8) return context->Corrupted = shaBadParam; SHA224_256AddLength(context, length); SHA224_256Finalize(context, (uint8_t) ((message_bits & masks[length]) | markbit[length])); return context->Corrupted; } /* * SHA256Result * * Description: * This function will return the 256-bit message digest * into the Message_Digest array provided by the caller. * NOTE: * The first octet of hash is stored in the element with index 0, * the last octet of hash in the element with index 31. * * Parameters: * context: [in/out] * The context to use to calculate the SHA hash. * Message_Digest[ ]: [out] * Where the digest is returned. * * Returns: * sha Error Code. Eastlake & Hansen Informational PAGE 45

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 */ int SHA256Result(SHA256Context *context, uint8_t Message_Digest[SHA256HashSize]) { return SHA224_256ResultN(context, Message_Digest, SHA256HashSize); } /* * SHA224_256Reset * * Description: * This helper function will initialize the SHA256Context in * preparation for computing a new SHA-224 or SHA-256 message digest. * * Parameters: * context: [in/out] * The context to reset. * H0[ ]: [in] * The initial hash value array to use. * * Returns: * sha Error Code. */ static int SHA224_256Reset(SHA256Context *context, uint32_t *H0) { if (!context) return shaNull; context->Length_High = context->Length_Low = 0; context->Message_Block_Index = 0; context->Intermediate_Hash[0] = H0[0]; context->Intermediate_Hash[1] = H0[1]; context->Intermediate_Hash[2] = H0[2]; context->Intermediate_Hash[3] = H0[3]; context->Intermediate_Hash[4] = H0[4]; context->Intermediate_Hash[5] = H0[5]; context->Intermediate_Hash[6] = H0[6]; context->Intermediate_Hash[7] = H0[7]; context->Computed = 0; context->Corrupted = shaSuccess; return shaSuccess; } /* * SHA224_256ProcessMessageBlock * Eastlake & Hansen Informational PAGE 46

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * Description: * This helper function will process the next 512 bits of the * message stored in the Message_Block array. * * Parameters: * context: [in/out] * The SHA context to update. * * Returns: * Nothing. * * Comments: * Many of the variable names in this code, especially the * single character names, were used because those were the * names used in the Secure Hash Standard. */ static void SHA224_256ProcessMessageBlock(SHA256Context *context) { /* Constants defined in FIPS 180-3, section 4.2.2 */ static const uint32_t K[64] = { 0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5, 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, 0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da, 0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967, 0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, 0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070, 0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3, 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2 }; int t, t4; /* Loop counter */ uint32_t temp1, temp2; /* Temporary word value */ uint32_t W[64]; /* Word sequence */ uint32_t A, B, C, D, E, F, G, H; /* Word buffers */ /* * Initialize the first 16 words in the array W */ for (t = t4 = 0; t < 16; t++, t4 += 4) W[t] = (((uint32_t)context->Message_Block[t4]) << 24) | (((uint32_t)context->Message_Block[t4 + 1]) << 16) | (((uint32_t)context->Message_Block[t4 + 2]) << 8) | (((uint32_t)context->Message_Block[t4 + 3])); Eastlake & Hansen Informational PAGE 47

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 for (t = 16; t < 64; t++) W[t] = SHA256_sigma1(W[t-2]) + W[t-7] + SHA256_sigma0(W[t-15]) + W[t-16]; A = context->Intermediate_Hash[0]; B = context->Intermediate_Hash[1]; C = context->Intermediate_Hash[2]; D = context->Intermediate_Hash[3]; E = context->Intermediate_Hash[4]; F = context->Intermediate_Hash[5]; G = context->Intermediate_Hash[6]; H = context->Intermediate_Hash[7]; for (t = 0; t < 64; t++) { temp1 = H + SHA256_SIGMA1(E) + SHA_Ch(E,F,G) + K[t] + W[t]; temp2 = SHA256_SIGMA0(A) + SHA_Maj(A,B,C); H = G; G = F; F = E; E = D + temp1; D = C; C = B; B = A; A = temp1 + temp2; } context->Intermediate_Hash[0] += A; context->Intermediate_Hash[1] += B; context->Intermediate_Hash[2] += C; context->Intermediate_Hash[3] += D; context->Intermediate_Hash[4] += E; context->Intermediate_Hash[5] += F; context->Intermediate_Hash[6] += G; context->Intermediate_Hash[7] += H; context->Message_Block_Index = 0; } /* * SHA224_256Finalize * * Description: * This helper function finishes off the digest calculations. * * Parameters: * context: [in/out] * The SHA context to update. * Pad_Byte: [in] Eastlake & Hansen Informational PAGE 48

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * The last byte to add to the message block before the 0-padding * and length. This will contain the last bits of the message * followed by another single bit. If the message was an * exact multiple of 8-bits long, Pad_Byte will be 0x80. * * Returns: * sha Error Code. */ static void SHA224_256Finalize(SHA256Context *context, uint8_t Pad_Byte) { int i; SHA224_256PadMessage(context, Pad_Byte); /* message may be sensitive, so clear it out */ for (i = 0; i < SHA256_Message_Block_Size; ++i) context->Message_Block[i] = 0; context->Length_High = 0; /* and clear length */ context->Length_Low = 0; context->Computed = 1; } /* * SHA224_256PadMessage * * Description: * According to the standard, the message must be padded to the next * even multiple of 512 bits. The first padding bit must be a '1'. * The last 64 bits represent the length of the original message. * All bits in between should be 0. This helper function will pad * the message according to those rules by filling the * Message_Block array accordingly. When it returns, it can be * assumed that the message digest has been computed. * * Parameters: * context: [in/out] * The context to pad. * Pad_Byte: [in] * The last byte to add to the message block before the 0-padding * and length. This will contain the last bits of the message * followed by another single bit. If the message was an * exact multiple of 8-bits long, Pad_Byte will be 0x80. * * Returns: * Nothing. */ static void SHA224_256PadMessage(SHA256Context *context, uint8_t Pad_Byte) { Eastlake & Hansen Informational PAGE 49

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * Check to see if the current message block is too small to hold * the initial padding bits and length. If so, we will pad the * block, process it, and then continue padding into a second * block. */ if (context->Message_Block_Index >= (SHA256_Message_Block_Size-8)) { context->Message_Block[context->Message_Block_Index++] = Pad_Byte; while (context->Message_Block_Index < SHA256_Message_Block_Size) context->Message_Block[context->Message_Block_Index++] = 0; SHA224_256ProcessMessageBlock(context); } else context->Message_Block[context->Message_Block_Index++] = Pad_Byte; while (context->Message_Block_Index < (SHA256_Message_Block_Size-8)) context->Message_Block[context->Message_Block_Index++] = 0; /* * Store the message length as the last 8 octets */ context->Message_Block[56] = (uint8_t)(context->Length_High >> 24); context->Message_Block[57] = (uint8_t)(context->Length_High >> 16); context->Message_Block[58] = (uint8_t)(context->Length_High >> 8); context->Message_Block[59] = (uint8_t)(context->Length_High); context->Message_Block[60] = (uint8_t)(context->Length_Low >> 24); context->Message_Block[61] = (uint8_t)(context->Length_Low >> 16); context->Message_Block[62] = (uint8_t)(context->Length_Low >> 8); context->Message_Block[63] = (uint8_t)(context->Length_Low); SHA224_256ProcessMessageBlock(context); } /* * SHA224_256ResultN * * Description: * This helper function will return the 224-bit or 256-bit message * digest into the Message_Digest array provided by the caller. * NOTE: * The first octet of hash is stored in the element with index 0, * the last octet of hash in the element with index 27/31. * * Parameters: * context: [in/out] * The context to use to calculate the SHA hash. * Message_Digest[ ]: [out] * Where the digest is returned. * HashSize: [in] Eastlake & Hansen Informational PAGE 50

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * The size of the hash, either 28 or 32. * * Returns: * sha Error Code. */ static int SHA224_256ResultN(SHA256Context *context, uint8_t Message_Digest[ ], int HashSize) { int i; if (!context) return shaNull; if (!Message_Digest) return shaNull; if (context->Corrupted) return context->Corrupted; if (!context->Computed) SHA224_256Finalize(context, 0x80); for (i = 0; i < HashSize; ++i) Message_Digest[i] = (uint8_t) (context->Intermediate_Hash[i>>2] >> 8 * ( 3 - ( i & 0x03 ) )); return shaSuccess; } 8.2.3. sha384-512.c /************************* sha384-512.c ************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as */ /* authors of the code. All rights reserved. */ /* See sha.h for terms of use and redistribution. */ /* * Description: * This file implements the Secure Hash Algorithms SHA-384 and * SHA-512 as defined in the U.S. National Institute of Standards * and Technology Federal Information Processing Standards * Publication (FIPS PUB) 180-3 published in October 2008 * and formerly defined in its predecessors, FIPS PUB 180-1 * and FIP PUB 180-2. * * A combined document showing all algorithms is available at * http://csrc.nist.gov/publications/fips/ * fips180-3/fips180-3_final.pdf * * The SHA-384 and SHA-512 algorithms produce 384-bit and 512-bit * message digests for a given data stream. It should take about * 2**n steps to find a message with the same digest as a given Eastlake & Hansen Informational PAGE 51

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * message and 2**(n/2) to find any two messages with the same * digest, when n is the digest size in bits. Therefore, this * algorithm can serve as a means of providing a * "fingerprint" for a message. * * Portability Issues: * SHA-384 and SHA-512 are defined in terms of 64-bit "words", * but if USE_32BIT_ONLY is #defined, this code is implemented in * terms of 32-bit "words". This code uses <stdint.h> (included * via "sha.h") to define the 64-, 32- and 8-bit unsigned integer * types. If your C compiler does not support 64-bit unsigned * integers and you do not #define USE_32BIT_ONLY, this code is * not appropriate. * * Caveats: * SHA-384 and SHA-512 are designed to work with messages less * than 2^128 bits long. This implementation uses SHA384/512Input() * to hash the bits that are a multiple of the size of an 8-bit * octet, and then optionally uses SHA384/256FinalBits() * to hash the final few bits of the input. * */ #include "sha.h" #ifdef USE_32BIT_ONLY /* * Define 64-bit arithmetic in terms of 32-bit arithmetic. * Each 64-bit number is represented in a 2-word array. * All macros are defined such that the result is the last parameter. */ /* * Define shift, rotate left, and rotate right functions */ #define SHA512_SHR(bits, word, ret) ( \ /* (((uint64_t)((word))) >> (bits)) */ \ (ret)[0] = (((bits) < 32) && ((bits) >= 0)) ? \ ((word)[0] >> (bits)) : 0, \ (ret)[1] = ((bits) > 32) ? ((word)[0] >> ((bits) - 32)) : \ ((bits) == 32) ? (word)[0] : \ ((bits) >= 0) ? \ (((word)[0] << (32 - (bits))) | \ ((word)[1] >> (bits))) : 0 ) #define SHA512_SHL(bits, word, ret) ( \ /* (((uint64_t)(word)) << (bits)) */ \ (ret)[0] = ((bits) > 32) ? ((word)[1] << ((bits) - 32)) : \ Eastlake & Hansen Informational PAGE 52

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 ((bits) == 32) ? (word)[1] : \ ((bits) >= 0) ? \ (((word)[0] << (bits)) | \ ((word)[1] >> (32 - (bits)))) : \ 0, \ (ret)[1] = (((bits) < 32) && ((bits) >= 0)) ? \ ((word)[1] << (bits)) : 0 ) /* * Define 64-bit OR */ #define SHA512_OR(word1, word2, ret) ( \ (ret)[0] = (word1)[0] | (word2)[0], \ (ret)[1] = (word1)[1] | (word2)[1] ) /* * Define 64-bit XOR */ #define SHA512_XOR(word1, word2, ret) ( \ (ret)[0] = (word1)[0] ^ (word2)[0], \ (ret)[1] = (word1)[1] ^ (word2)[1] ) /* * Define 64-bit AND */ #define SHA512_AND(word1, word2, ret) ( \ (ret)[0] = (word1)[0] & (word2)[0], \ (ret)[1] = (word1)[1] & (word2)[1] ) /* * Define 64-bit TILDA */ #define SHA512_TILDA(word, ret) \ ( (ret)[0] = ~(word)[0], (ret)[1] = ~(word)[1] ) /* * Define 64-bit ADD */ #define SHA512_ADD(word1, word2, ret) ( \ (ret)[1] = (word1)[1], (ret)[1] += (word2)[1], \ (ret)[0] = (word1)[0] + (word2)[0] + ((ret)[1] < (word1)[1]) ) /* * Add the 4word value in word2 to word1. */ static uint32_t ADDTO4_temp, ADDTO4_temp2; #define SHA512_ADDTO4(word1, word2) ( \ ADDTO4_temp = (word1)[3], \ Eastlake & Hansen Informational PAGE 53

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 (word1)[3] += (word2)[3], \ ADDTO4_temp2 = (word1)[2], \ (word1)[2] += (word2)[2] + ((word1)[3] < ADDTO4_temp), \ ADDTO4_temp = (word1)[1], \ (word1)[1] += (word2)[1] + ((word1)[2] < ADDTO4_temp2), \ (word1)[0] += (word2)[0] + ((word1)[1] < ADDTO4_temp) ) /* * Add the 2word value in word2 to word1. */ static uint32_t ADDTO2_temp; #define SHA512_ADDTO2(word1, word2) ( \ ADDTO2_temp = (word1)[1], \ (word1)[1] += (word2)[1], \ (word1)[0] += (word2)[0] + ((word1)[1] < ADDTO2_temp) ) /* * SHA rotate ((word >> bits) | (word << (64-bits))) */ static uint32_t ROTR_temp1[2], ROTR_temp2[2]; #define SHA512_ROTR(bits, word, ret) ( \ SHA512_SHR((bits), (word), ROTR_temp1), \ SHA512_SHL(64-(bits), (word), ROTR_temp2), \ SHA512_OR(ROTR_temp1, ROTR_temp2, (ret)) ) /* * Define the SHA SIGMA and sigma macros * * SHA512_ROTR(28,word) ^ SHA512_ROTR(34,word) ^ SHA512_ROTR(39,word) */ static uint32_t SIGMA0_temp1[2], SIGMA0_temp2[2], SIGMA0_temp3[2], SIGMA0_temp4[2]; #define SHA512_SIGMA0(word, ret) ( \ SHA512_ROTR(28, (word), SIGMA0_temp1), \ SHA512_ROTR(34, (word), SIGMA0_temp2), \ SHA512_ROTR(39, (word), SIGMA0_temp3), \ SHA512_XOR(SIGMA0_temp2, SIGMA0_temp3, SIGMA0_temp4), \ SHA512_XOR(SIGMA0_temp1, SIGMA0_temp4, (ret)) ) /* * SHA512_ROTR(14,word) ^ SHA512_ROTR(18,word) ^ SHA512_ROTR(41,word) */ static uint32_t SIGMA1_temp1[2], SIGMA1_temp2[2], SIGMA1_temp3[2], SIGMA1_temp4[2]; #define SHA512_SIGMA1(word, ret) ( \ SHA512_ROTR(14, (word), SIGMA1_temp1), \ SHA512_ROTR(18, (word), SIGMA1_temp2), \ SHA512_ROTR(41, (word), SIGMA1_temp3), \ Eastlake & Hansen Informational PAGE 54

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 SHA512_XOR(SIGMA1_temp2, SIGMA1_temp3, SIGMA1_temp4), \ SHA512_XOR(SIGMA1_temp1, SIGMA1_temp4, (ret)) ) /* * (SHA512_ROTR( 1,word) ^ SHA512_ROTR( 8,word) ^ SHA512_SHR( 7,word)) */ static uint32_t sigma0_temp1[2], sigma0_temp2[2], sigma0_temp3[2], sigma0_temp4[2]; #define SHA512_sigma0(word, ret) ( \ SHA512_ROTR( 1, (word), sigma0_temp1), \ SHA512_ROTR( 8, (word), sigma0_temp2), \ SHA512_SHR( 7, (word), sigma0_temp3), \ SHA512_XOR(sigma0_temp2, sigma0_temp3, sigma0_temp4), \ SHA512_XOR(sigma0_temp1, sigma0_temp4, (ret)) ) /* * (SHA512_ROTR(19,word) ^ SHA512_ROTR(61,word) ^ SHA512_SHR( 6,word)) */ static uint32_t sigma1_temp1[2], sigma1_temp2[2], sigma1_temp3[2], sigma1_temp4[2]; #define SHA512_sigma1(word, ret) ( \ SHA512_ROTR(19, (word), sigma1_temp1), \ SHA512_ROTR(61, (word), sigma1_temp2), \ SHA512_SHR( 6, (word), sigma1_temp3), \ SHA512_XOR(sigma1_temp2, sigma1_temp3, sigma1_temp4), \ SHA512_XOR(sigma1_temp1, sigma1_temp4, (ret)) ) #ifndef USE_MODIFIED_MACROS /* * These definitions are the ones used in FIPS 180-3, section 4.1.3 * Ch(x,y,z) ((x & y) ^ (~x & z)) */ static uint32_t Ch_temp1[2], Ch_temp2[2], Ch_temp3[2]; #define SHA_Ch(x, y, z, ret) ( \ SHA512_AND(x, y, Ch_temp1), \ SHA512_TILDA(x, Ch_temp2), \ SHA512_AND(Ch_temp2, z, Ch_temp3), \ SHA512_XOR(Ch_temp1, Ch_temp3, (ret)) ) /* * Maj(x,y,z) (((x)&(y)) ^ ((x)&(z)) ^ ((y)&(z))) */ static uint32_t Maj_temp1[2], Maj_temp2[2], Maj_temp3[2], Maj_temp4[2]; #define SHA_Maj(x, y, z, ret) ( \ SHA512_AND(x, y, Maj_temp1), \ SHA512_AND(x, z, Maj_temp2), \ SHA512_AND(y, z, Maj_temp3), \ Eastlake & Hansen Informational PAGE 55

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 SHA512_XOR(Maj_temp2, Maj_temp3, Maj_temp4), \ SHA512_XOR(Maj_temp1, Maj_temp4, (ret)) ) #else /* !USE_MODIFIED_MACROS */ /* * These definitions are potentially faster equivalents for the ones * used in FIPS 180-3, section 4.1.3. * ((x & y) ^ (~x & z)) becomes * ((x & (y ^ z)) ^ z) */ #define SHA_Ch(x, y, z, ret) ( \ (ret)[0] = (((x)[0] & ((y)[0] ^ (z)[0])) ^ (z)[0]), \ (ret)[1] = (((x)[1] & ((y)[1] ^ (z)[1])) ^ (z)[1]) ) /* * ((x & y) ^ (x & z) ^ (y & z)) becomes * ((x & (y | z)) | (y & z)) */ #define SHA_Maj(x, y, z, ret) ( \ ret[0] = (((x)[0] & ((y)[0] | (z)[0])) | ((y)[0] & (z)[0])), \ ret[1] = (((x)[1] & ((y)[1] | (z)[1])) | ((y)[1] & (z)[1])) ) #endif /* USE_MODIFIED_MACROS */ /* * Add "length" to the length. * Set Corrupted when overflow has occurred. */ static uint32_t addTemp[4] = { 0, 0, 0, 0 }; #define SHA384_512AddLength(context, length) ( \ addTemp[3] = (length), SHA512_ADDTO4((context)->Length, addTemp), \ (context)->Corrupted = (((context)->Length[3] < (length)) && \ ((context)->Length[2] == 0) && ((context)->Length[1] == 0) && \ ((context)->Length[0] == 0)) ? shaInputTooLong : \ (context)->Corrupted ) /* Local Function Prototypes */ static int SHA384_512Reset(SHA512Context *context, uint32_t H0[SHA512HashSize/4]); static void SHA384_512ProcessMessageBlock(SHA512Context *context); static void SHA384_512Finalize(SHA512Context *context, uint8_t Pad_Byte); static void SHA384_512PadMessage(SHA512Context *context, uint8_t Pad_Byte); static int SHA384_512ResultN( SHA512Context *context, uint8_t Message_Digest[ ], int HashSize); /* Initial Hash Values: FIPS 180-3 sections 5.3.4 and 5.3.5 */ static uint32_t SHA384_H0[SHA512HashSize/4] = { 0xCBBB9D5D, 0xC1059ED8, 0x629A292A, 0x367CD507, 0x9159015A, Eastlake & Hansen Informational PAGE 56

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 0x3070DD17, 0x152FECD8, 0xF70E5939, 0x67332667, 0xFFC00B31, 0x8EB44A87, 0x68581511, 0xDB0C2E0D, 0x64F98FA7, 0x47B5481D, 0xBEFA4FA4 }; static uint32_t SHA512_H0[SHA512HashSize/4] = { 0x6A09E667, 0xF3BCC908, 0xBB67AE85, 0x84CAA73B, 0x3C6EF372, 0xFE94F82B, 0xA54FF53A, 0x5F1D36F1, 0x510E527F, 0xADE682D1, 0x9B05688C, 0x2B3E6C1F, 0x1F83D9AB, 0xFB41BD6B, 0x5BE0CD19, 0x137E2179 }; #else /* !USE_32BIT_ONLY */ #include "sha-private.h" /* Define the SHA shift, rotate left and rotate right macros */ #define SHA512_SHR(bits,word) (((uint64_t)(word)) >> (bits)) #define SHA512_ROTR(bits,word) ((((uint64_t)(word)) >> (bits)) | \ (((uint64_t)(word)) << (64-(bits)))) /* * Define the SHA SIGMA and sigma macros * * SHA512_ROTR(28,word) ^ SHA512_ROTR(34,word) ^ SHA512_ROTR(39,word) */ #define SHA512_SIGMA0(word) \ (SHA512_ROTR(28,word) ^ SHA512_ROTR(34,word) ^ SHA512_ROTR(39,word)) #define SHA512_SIGMA1(word) \ (SHA512_ROTR(14,word) ^ SHA512_ROTR(18,word) ^ SHA512_ROTR(41,word)) #define SHA512_sigma0(word) \ (SHA512_ROTR( 1,word) ^ SHA512_ROTR( 8,word) ^ SHA512_SHR( 7,word)) #define SHA512_sigma1(word) \ (SHA512_ROTR(19,word) ^ SHA512_ROTR(61,word) ^ SHA512_SHR( 6,word)) /* * Add "length" to the length. * Set Corrupted when overflow has occurred. */ static uint64_t addTemp; #define SHA384_512AddLength(context, length) \ (addTemp = context->Length_Low, context->Corrupted = \ ((context->Length_Low += length) < addTemp) && \ (++context->Length_High == 0) ? shaInputTooLong : \ (context)->Corrupted) /* Local Function Prototypes */ static int SHA384_512Reset(SHA512Context *context, uint64_t H0[SHA512HashSize/8]); Eastlake & Hansen Informational PAGE 57

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 static void SHA384_512ProcessMessageBlock(SHA512Context *context); static void SHA384_512Finalize(SHA512Context *context, uint8_t Pad_Byte); static void SHA384_512PadMessage(SHA512Context *context, uint8_t Pad_Byte); static int SHA384_512ResultN(SHA512Context *context, uint8_t Message_Digest[ ], int HashSize); /* Initial Hash Values: FIPS 180-3 sections 5.3.4 and 5.3.5 */ static uint64_t SHA384_H0[ ] = { 0xCBBB9D5DC1059ED8ll, 0x629A292A367CD507ll, 0x9159015A3070DD17ll, 0x152FECD8F70E5939ll, 0x67332667FFC00B31ll, 0x8EB44A8768581511ll, 0xDB0C2E0D64F98FA7ll, 0x47B5481DBEFA4FA4ll }; static uint64_t SHA512_H0[ ] = { 0x6A09E667F3BCC908ll, 0xBB67AE8584CAA73Bll, 0x3C6EF372FE94F82Bll, 0xA54FF53A5F1D36F1ll, 0x510E527FADE682D1ll, 0x9B05688C2B3E6C1Fll, 0x1F83D9ABFB41BD6Bll, 0x5BE0CD19137E2179ll }; #endif /* USE_32BIT_ONLY */ /* * SHA384Reset * * Description: * This function will initialize the SHA384Context in preparation * for computing a new SHA384 message digest. * * Parameters: * context: [in/out] * The context to reset. * * Returns: * sha Error Code. * */ int SHA384Reset(SHA384Context *context) { return SHA384_512Reset(context, SHA384_H0); } /* * SHA384Input * * Description: * This function accepts an array of octets as the next portion * of the message. Eastlake & Hansen Informational PAGE 58

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * * Parameters: * context: [in/out] * The SHA context to update. * message_array[ ]: [in] * An array of octets representing the next portion of * the message. * length: [in] * The length of the message in message_array. * * Returns: * sha Error Code. * */ int SHA384Input(SHA384Context *context, const uint8_t *message_array, unsigned int length) { return SHA512Input(context, message_array, length); } /* * SHA384FinalBits * * Description: * This function will add in any final bits of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_bits: [in] * The final bits of the message, in the upper portion of the * byte. (Use 0b###00000 instead of 0b00000### to input the * three bits ###.) * length: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. * */ int SHA384FinalBits(SHA384Context *context, uint8_t message_bits, unsigned int length) { return SHA512FinalBits(context, message_bits, length); } /* * SHA384Result Eastlake & Hansen Informational PAGE 59

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * * Description: * This function will return the 384-bit message digest * into the Message_Digest array provided by the caller. * NOTE: * The first octet of hash is stored in the element with index 0, * the last octet of hash in the element with index 47. * * Parameters: * context: [in/out] * The context to use to calculate the SHA hash. * Message_Digest[ ]: [out] * Where the digest is returned. * * Returns: * sha Error Code. * */ int SHA384Result(SHA384Context *context, uint8_t Message_Digest[SHA384HashSize]) { return SHA384_512ResultN(context, Message_Digest, SHA384HashSize); } /* * SHA512Reset * * Description: * This function will initialize the SHA512Context in preparation * for computing a new SHA512 message digest. * * Parameters: * context: [in/out] * The context to reset. * * Returns: * sha Error Code. * */ int SHA512Reset(SHA512Context *context) { return SHA384_512Reset(context, SHA512_H0); } /* * SHA512Input * * Description: Eastlake & Hansen Informational PAGE 60

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * This function accepts an array of octets as the next portion * of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_array[ ]: [in] * An array of octets representing the next portion of * the message. * length: [in] * The length of the message in message_array. * * Returns: * sha Error Code. * */ int SHA512Input(SHA512Context *context, const uint8_t *message_array, unsigned int length) { if (!context) return shaNull; if (!length) return shaSuccess; if (!message_array) return shaNull; if (context->Computed) return context->Corrupted = shaStateError; if (context->Corrupted) return context->Corrupted; while (length--) { context->Message_Block[context->Message_Block_Index++] = *message_array; if ((SHA384_512AddLength(context, 8) == shaSuccess) && (context->Message_Block_Index == SHA512_Message_Block_Size)) SHA384_512ProcessMessageBlock(context); message_array++; } return context->Corrupted; } /* * SHA512FinalBits * * Description: * This function will add in any final bits of the message. * * Parameters: * context: [in/out] Eastlake & Hansen Informational PAGE 61

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * The SHA context to update. * message_bits: [in] * The final bits of the message, in the upper portion of the * byte. (Use 0b###00000 instead of 0b00000### to input the * three bits ###.) * length: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. * */ int SHA512FinalBits(SHA512Context *context, uint8_t message_bits, unsigned int length) { static uint8_t masks[8] = { /* 0 0b00000000 */ 0x00, /* 1 0b10000000 */ 0x80, /* 2 0b11000000 */ 0xC0, /* 3 0b11100000 */ 0xE0, /* 4 0b11110000 */ 0xF0, /* 5 0b11111000 */ 0xF8, /* 6 0b11111100 */ 0xFC, /* 7 0b11111110 */ 0xFE }; static uint8_t markbit[8] = { /* 0 0b10000000 */ 0x80, /* 1 0b01000000 */ 0x40, /* 2 0b00100000 */ 0x20, /* 3 0b00010000 */ 0x10, /* 4 0b00001000 */ 0x08, /* 5 0b00000100 */ 0x04, /* 6 0b00000010 */ 0x02, /* 7 0b00000001 */ 0x01 }; if (!context) return shaNull; if (!length) return shaSuccess; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; if (length >= 8) return context->Corrupted = shaBadParam; SHA384_512AddLength(context, length); SHA384_512Finalize(context, (uint8_t) ((message_bits & masks[length]) | markbit[length])); return context->Corrupted; } /* * SHA512Result * * Description: * This function will return the 512-bit message digest * into the Message_Digest array provided by the caller. * NOTE: Eastlake & Hansen Informational PAGE 62

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * The first octet of hash is stored in the element with index 0, * the last octet of hash in the element with index 63. * * Parameters: * context: [in/out] * The context to use to calculate the SHA hash. * Message_Digest[ ]: [out] * Where the digest is returned. * * Returns: * sha Error Code. * */ int SHA512Result(SHA512Context *context, uint8_t Message_Digest[SHA512HashSize]) { return SHA384_512ResultN(context, Message_Digest, SHA512HashSize); } /* * SHA384_512Reset * * Description: * This helper function will initialize the SHA512Context in * preparation for computing a new SHA384 or SHA512 message * digest. * * Parameters: * context: [in/out] * The context to reset. * H0[ ]: [in] * The initial hash value array to use. * * Returns: * sha Error Code. * */ #ifdef USE_32BIT_ONLY static int SHA384_512Reset(SHA512Context *context, uint32_t H0[SHA512HashSize/4]) #else /* !USE_32BIT_ONLY */ static int SHA384_512Reset(SHA512Context *context, uint64_t H0[SHA512HashSize/8]) #endif /* USE_32BIT_ONLY */ { int i; if (!context) return shaNull; Eastlake & Hansen Informational PAGE 63

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 context->Message_Block_Index = 0; #ifdef USE_32BIT_ONLY context->Length[0] = context->Length[1] = context->Length[2] = context->Length[3] = 0; for (i = 0; i < SHA512HashSize/4; i++) context->Intermediate_Hash[i] = H0[i]; #else /* !USE_32BIT_ONLY */ context->Length_High = context->Length_Low = 0; for (i = 0; i < SHA512HashSize/8; i++) context->Intermediate_Hash[i] = H0[i]; #endif /* USE_32BIT_ONLY */ context->Computed = 0; context->Corrupted = shaSuccess; return shaSuccess; } /* * SHA384_512ProcessMessageBlock * * Description: * This helper function will process the next 1024 bits of the * message stored in the Message_Block array. * * Parameters: * context: [in/out] * The SHA context to update. * * Returns: * Nothing. * * Comments: * Many of the variable names in this code, especially the * single character names, were used because those were the * names used in the Secure Hash Standard. * * */ static void SHA384_512ProcessMessageBlock(SHA512Context *context) { #ifdef USE_32BIT_ONLY /* Constants defined in FIPS 180-3, section 4.2.3 */ static const uint32_t K[80*2] = { 0x428A2F98, 0xD728AE22, 0x71374491, 0x23EF65CD, 0xB5C0FBCF, Eastlake & Hansen Informational PAGE 64

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 0xEC4D3B2F, 0xE9B5DBA5, 0x8189DBBC, 0x3956C25B, 0xF348B538, 0x59F111F1, 0xB605D019, 0x923F82A4, 0xAF194F9B, 0xAB1C5ED5, 0xDA6D8118, 0xD807AA98, 0xA3030242, 0x12835B01, 0x45706FBE, 0x243185BE, 0x4EE4B28C, 0x550C7DC3, 0xD5FFB4E2, 0x72BE5D74, 0xF27B896F, 0x80DEB1FE, 0x3B1696B1, 0x9BDC06A7, 0x25C71235, 0xC19BF174, 0xCF692694, 0xE49B69C1, 0x9EF14AD2, 0xEFBE4786, 0x384F25E3, 0x0FC19DC6, 0x8B8CD5B5, 0x240CA1CC, 0x77AC9C65, 0x2DE92C6F, 0x592B0275, 0x4A7484AA, 0x6EA6E483, 0x5CB0A9DC, 0xBD41FBD4, 0x76F988DA, 0x831153B5, 0x983E5152, 0xEE66DFAB, 0xA831C66D, 0x2DB43210, 0xB00327C8, 0x98FB213F, 0xBF597FC7, 0xBEEF0EE4, 0xC6E00BF3, 0x3DA88FC2, 0xD5A79147, 0x930AA725, 0x06CA6351, 0xE003826F, 0x14292967, 0x0A0E6E70, 0x27B70A85, 0x46D22FFC, 0x2E1B2138, 0x5C26C926, 0x4D2C6DFC, 0x5AC42AED, 0x53380D13, 0x9D95B3DF, 0x650A7354, 0x8BAF63DE, 0x766A0ABB, 0x3C77B2A8, 0x81C2C92E, 0x47EDAEE6, 0x92722C85, 0x1482353B, 0xA2BFE8A1, 0x4CF10364, 0xA81A664B, 0xBC423001, 0xC24B8B70, 0xD0F89791, 0xC76C51A3, 0x0654BE30, 0xD192E819, 0xD6EF5218, 0xD6990624, 0x5565A910, 0xF40E3585, 0x5771202A, 0x106AA070, 0x32BBD1B8, 0x19A4C116, 0xB8D2D0C8, 0x1E376C08, 0x5141AB53, 0x2748774C, 0xDF8EEB99, 0x34B0BCB5, 0xE19B48A8, 0x391C0CB3, 0xC5C95A63, 0x4ED8AA4A, 0xE3418ACB, 0x5B9CCA4F, 0x7763E373, 0x682E6FF3, 0xD6B2B8A3, 0x748F82EE, 0x5DEFB2FC, 0x78A5636F, 0x43172F60, 0x84C87814, 0xA1F0AB72, 0x8CC70208, 0x1A6439EC, 0x90BEFFFA, 0x23631E28, 0xA4506CEB, 0xDE82BDE9, 0xBEF9A3F7, 0xB2C67915, 0xC67178F2, 0xE372532B, 0xCA273ECE, 0xEA26619C, 0xD186B8C7, 0x21C0C207, 0xEADA7DD6, 0xCDE0EB1E, 0xF57D4F7F, 0xEE6ED178, 0x06F067AA, 0x72176FBA, 0x0A637DC5, 0xA2C898A6, 0x113F9804, 0xBEF90DAE, 0x1B710B35, 0x131C471B, 0x28DB77F5, 0x23047D84, 0x32CAAB7B, 0x40C72493, 0x3C9EBE0A, 0x15C9BEBC, 0x431D67C4, 0x9C100D4C, 0x4CC5D4BE, 0xCB3E42B6, 0x597F299C, 0xFC657E2A, 0x5FCB6FAB, 0x3AD6FAEC, 0x6C44198C, 0x4A475817 }; int t, t2, t8; /* Loop counter */ uint32_t temp1[2], temp2[2], /* Temporary word values */ temp3[2], temp4[2], temp5[2]; uint32_t W[2*80]; /* Word sequence */ uint32_t A[2], B[2], C[2], D[2], /* Word buffers */ E[2], F[2], G[2], H[2]; /* Initialize the first 16 words in the array W */ for (t = t2 = t8 = 0; t < 16; t++, t8 += 8) { W[t2++] = ((((uint32_t)context->Message_Block[t8 ])) << 24) | ((((uint32_t)context->Message_Block[t8 + 1])) << 16) | ((((uint32_t)context->Message_Block[t8 + 2])) << 8) | ((((uint32_t)context->Message_Block[t8 + 3]))); W[t2++] = ((((uint32_t)context->Message_Block[t8 + 4])) << 24) | ((((uint32_t)context->Message_Block[t8 + 5])) << 16) | ((((uint32_t)context->Message_Block[t8 + 6])) << 8) | Eastlake & Hansen Informational PAGE 65

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 ((((uint32_t)context->Message_Block[t8 + 7]))); } for (t = 16; t < 80; t++, t2 += 2) { /* W[t] = SHA512_sigma1(W[t-2]) + W[t-7] + SHA512_sigma0(W[t-15]) + W[t-16]; */ uint32_t *Wt2 = &W[t2-2*2]; uint32_t *Wt7 = &W[t2-7*2]; uint32_t *Wt15 = &W[t2-15*2]; uint32_t *Wt16 = &W[t2-16*2]; SHA512_sigma1(Wt2, temp1); SHA512_ADD(temp1, Wt7, temp2); SHA512_sigma0(Wt15, temp1); SHA512_ADD(temp1, Wt16, temp3); SHA512_ADD(temp2, temp3, &W[t2]); } A[0] = context->Intermediate_Hash[0]; A[1] = context->Intermediate_Hash[1]; B[0] = context->Intermediate_Hash[2]; B[1] = context->Intermediate_Hash[3]; C[0] = context->Intermediate_Hash[4]; C[1] = context->Intermediate_Hash[5]; D[0] = context->Intermediate_Hash[6]; D[1] = context->Intermediate_Hash[7]; E[0] = context->Intermediate_Hash[8]; E[1] = context->Intermediate_Hash[9]; F[0] = context->Intermediate_Hash[10]; F[1] = context->Intermediate_Hash[11]; G[0] = context->Intermediate_Hash[12]; G[1] = context->Intermediate_Hash[13]; H[0] = context->Intermediate_Hash[14]; H[1] = context->Intermediate_Hash[15]; for (t = t2 = 0; t < 80; t++, t2 += 2) { /* * temp1 = H + SHA512_SIGMA1(E) + SHA_Ch(E,F,G) + K[t] + W[t]; */ SHA512_SIGMA1(E,temp1); SHA512_ADD(H, temp1, temp2); SHA_Ch(E,F,G,temp3); SHA512_ADD(temp2, temp3, temp4); SHA512_ADD(&K[t2], &W[t2], temp5); SHA512_ADD(temp4, temp5, temp1); /* * temp2 = SHA512_SIGMA0(A) + SHA_Maj(A,B,C); */ SHA512_SIGMA0(A,temp3); Eastlake & Hansen Informational PAGE 66

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 SHA_Maj(A,B,C,temp4); SHA512_ADD(temp3, temp4, temp2); H[0] = G[0]; H[1] = G[1]; G[0] = F[0]; G[1] = F[1]; F[0] = E[0]; F[1] = E[1]; SHA512_ADD(D, temp1, E); D[0] = C[0]; D[1] = C[1]; C[0] = B[0]; C[1] = B[1]; B[0] = A[0]; B[1] = A[1]; SHA512_ADD(temp1, temp2, A); } SHA512_ADDTO2(&context->Intermediate_Hash[0], A); SHA512_ADDTO2(&context->Intermediate_Hash[2], B); SHA512_ADDTO2(&context->Intermediate_Hash[4], C); SHA512_ADDTO2(&context->Intermediate_Hash[6], D); SHA512_ADDTO2(&context->Intermediate_Hash[8], E); SHA512_ADDTO2(&context->Intermediate_Hash[10], F); SHA512_ADDTO2(&context->Intermediate_Hash[12], G); SHA512_ADDTO2(&context->Intermediate_Hash[14], H); #else /* !USE_32BIT_ONLY */ /* Constants defined in FIPS 180-3, section 4.2.3 */ static const uint64_t K[80] = { 0x428A2F98D728AE22ll, 0x7137449123EF65CDll, 0xB5C0FBCFEC4D3B2Fll, 0xE9B5DBA58189DBBCll, 0x3956C25BF348B538ll, 0x59F111F1B605D019ll, 0x923F82A4AF194F9Bll, 0xAB1C5ED5DA6D8118ll, 0xD807AA98A3030242ll, 0x12835B0145706FBEll, 0x243185BE4EE4B28Cll, 0x550C7DC3D5FFB4E2ll, 0x72BE5D74F27B896Fll, 0x80DEB1FE3B1696B1ll, 0x9BDC06A725C71235ll, 0xC19BF174CF692694ll, 0xE49B69C19EF14AD2ll, 0xEFBE4786384F25E3ll, 0x0FC19DC68B8CD5B5ll, 0x240CA1CC77AC9C65ll, 0x2DE92C6F592B0275ll, 0x4A7484AA6EA6E483ll, 0x5CB0A9DCBD41FBD4ll, 0x76F988DA831153B5ll, 0x983E5152EE66DFABll, 0xA831C66D2DB43210ll, 0xB00327C898FB213Fll, 0xBF597FC7BEEF0EE4ll, 0xC6E00BF33DA88FC2ll, 0xD5A79147930AA725ll, 0x06CA6351E003826Fll, 0x142929670A0E6E70ll, 0x27B70A8546D22FFCll, 0x2E1B21385C26C926ll, 0x4D2C6DFC5AC42AEDll, 0x53380D139D95B3DFll, 0x650A73548BAF63DEll, 0x766A0ABB3C77B2A8ll, 0x81C2C92E47EDAEE6ll, 0x92722C851482353Bll, 0xA2BFE8A14CF10364ll, 0xA81A664BBC423001ll, 0xC24B8B70D0F89791ll, 0xC76C51A30654BE30ll, 0xD192E819D6EF5218ll, 0xD69906245565A910ll, 0xF40E35855771202All, 0x106AA07032BBD1B8ll, 0x19A4C116B8D2D0C8ll, 0x1E376C085141AB53ll, 0x2748774CDF8EEB99ll, 0x34B0BCB5E19B48A8ll, 0x391C0CB3C5C95A63ll, 0x4ED8AA4AE3418ACBll, 0x5B9CCA4F7763E373ll, 0x682E6FF3D6B2B8A3ll, 0x748F82EE5DEFB2FCll, 0x78A5636F43172F60ll, 0x84C87814A1F0AB72ll, 0x8CC702081A6439ECll, 0x90BEFFFA23631E28ll, 0xA4506CEBDE82BDE9ll, 0xBEF9A3F7B2C67915ll, 0xC67178F2E372532Bll, 0xCA273ECEEA26619Cll, 0xD186B8C721C0C207ll, 0xEADA7DD6CDE0EB1Ell, 0xF57D4F7FEE6ED178ll, 0x06F067AA72176FBAll, 0x0A637DC5A2C898A6ll, 0x113F9804BEF90DAEll, 0x1B710B35131C471Bll, Eastlake & Hansen Informational PAGE 67

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 0x28DB77F523047D84ll, 0x32CAAB7B40C72493ll, 0x3C9EBE0A15C9BEBCll, 0x431D67C49C100D4Cll, 0x4CC5D4BECB3E42B6ll, 0x597F299CFC657E2All, 0x5FCB6FAB3AD6FAECll, 0x6C44198C4A475817ll }; int t, t8; /* Loop counter */ uint64_t temp1, temp2; /* Temporary word value */ uint64_t W[80]; /* Word sequence */ uint64_t A, B, C, D, E, F, G, H; /* Word buffers */ /* * Initialize the first 16 words in the array W */ for (t = t8 = 0; t < 16; t++, t8 += 8) W[t] = ((uint64_t)(context->Message_Block[t8 ]) << 56) | ((uint64_t)(context->Message_Block[t8 + 1]) << 48) | ((uint64_t)(context->Message_Block[t8 + 2]) << 40) | ((uint64_t)(context->Message_Block[t8 + 3]) << 32) | ((uint64_t)(context->Message_Block[t8 + 4]) << 24) | ((uint64_t)(context->Message_Block[t8 + 5]) << 16) | ((uint64_t)(context->Message_Block[t8 + 6]) << 8) | ((uint64_t)(context->Message_Block[t8 + 7])); for (t = 16; t < 80; t++) W[t] = SHA512_sigma1(W[t-2]) + W[t-7] + SHA512_sigma0(W[t-15]) + W[t-16]; A = context->Intermediate_Hash[0]; B = context->Intermediate_Hash[1]; C = context->Intermediate_Hash[2]; D = context->Intermediate_Hash[3]; E = context->Intermediate_Hash[4]; F = context->Intermediate_Hash[5]; G = context->Intermediate_Hash[6]; H = context->Intermediate_Hash[7]; for (t = 0; t < 80; t++) { temp1 = H + SHA512_SIGMA1(E) + SHA_Ch(E,F,G) + K[t] + W[t]; temp2 = SHA512_SIGMA0(A) + SHA_Maj(A,B,C); H = G; G = F; F = E; E = D + temp1; D = C; C = B; B = A; A = temp1 + temp2; } context->Intermediate_Hash[0] += A; Eastlake & Hansen Informational PAGE 68

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 context->Intermediate_Hash[1] += B; context->Intermediate_Hash[2] += C; context->Intermediate_Hash[3] += D; context->Intermediate_Hash[4] += E; context->Intermediate_Hash[5] += F; context->Intermediate_Hash[6] += G; context->Intermediate_Hash[7] += H; #endif /* USE_32BIT_ONLY */ context->Message_Block_Index = 0; } /* * SHA384_512Finalize * * Description: * This helper function finishes off the digest calculations. * * Parameters: * context: [in/out] * The SHA context to update. * Pad_Byte: [in] * The last byte to add to the message block before the 0-padding * and length. This will contain the last bits of the message * followed by another single bit. If the message was an * exact multiple of 8-bits long, Pad_Byte will be 0x80. * * Returns: * sha Error Code. * */ static void SHA384_512Finalize(SHA512Context *context, uint8_t Pad_Byte) { int_least16_t i; SHA384_512PadMessage(context, Pad_Byte); /* message may be sensitive, clear it out */ for (i = 0; i < SHA512_Message_Block_Size; ++i) context->Message_Block[i] = 0; #ifdef USE_32BIT_ONLY /* and clear length */ context->Length[0] = context->Length[1] = 0; context->Length[2] = context->Length[3] = 0; #else /* !USE_32BIT_ONLY */ context->Length_High = context->Length_Low = 0; #endif /* USE_32BIT_ONLY */ context->Computed = 1; } Eastlake & Hansen Informational PAGE 69

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * SHA384_512PadMessage * * Description: * According to the standard, the message must be padded to the next * even multiple of 1024 bits. The first padding bit must be a '1'. * The last 128 bits represent the length of the original message. * All bits in between should be 0. This helper function will * pad the message according to those rules by filling the * Message_Block array accordingly. When it returns, it can be * assumed that the message digest has been computed. * * Parameters: * context: [in/out] * The context to pad. * Pad_Byte: [in] * The last byte to add to the message block before the 0-padding * and length. This will contain the last bits of the message * followed by another single bit. If the message was an * exact multiple of 8-bits long, Pad_Byte will be 0x80. * * Returns: * Nothing. * */ static void SHA384_512PadMessage(SHA512Context *context, uint8_t Pad_Byte) { /* * Check to see if the current message block is too small to hold * the initial padding bits and length. If so, we will pad the * block, process it, and then continue padding into a second * block. */ if (context->Message_Block_Index >= (SHA512_Message_Block_Size-16)) { context->Message_Block[context->Message_Block_Index++] = Pad_Byte; while (context->Message_Block_Index < SHA512_Message_Block_Size) context->Message_Block[context->Message_Block_Index++] = 0; SHA384_512ProcessMessageBlock(context); } else context->Message_Block[context->Message_Block_Index++] = Pad_Byte; while (context->Message_Block_Index < (SHA512_Message_Block_Size-16)) context->Message_Block[context->Message_Block_Index++] = 0; /* * Store the message length as the last 16 octets Eastlake & Hansen Informational PAGE 70

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 */ #ifdef USE_32BIT_ONLY context->Message_Block[112] = (uint8_t)(context->Length[0] >> 24); context->Message_Block[113] = (uint8_t)(context->Length[0] >> 16); context->Message_Block[114] = (uint8_t)(context->Length[0] >> 8); context->Message_Block[115] = (uint8_t)(context->Length[0]); context->Message_Block[116] = (uint8_t)(context->Length[1] >> 24); context->Message_Block[117] = (uint8_t)(context->Length[1] >> 16); context->Message_Block[118] = (uint8_t)(context->Length[1] >> 8); context->Message_Block[119] = (uint8_t)(context->Length[1]); context->Message_Block[120] = (uint8_t)(context->Length[2] >> 24); context->Message_Block[121] = (uint8_t)(context->Length[2] >> 16); context->Message_Block[122] = (uint8_t)(context->Length[2] >> 8); context->Message_Block[123] = (uint8_t)(context->Length[2]); context->Message_Block[124] = (uint8_t)(context->Length[3] >> 24); context->Message_Block[125] = (uint8_t)(context->Length[3] >> 16); context->Message_Block[126] = (uint8_t)(context->Length[3] >> 8); context->Message_Block[127] = (uint8_t)(context->Length[3]); #else /* !USE_32BIT_ONLY */ context->Message_Block[112] = (uint8_t)(context->Length_High >> 56); context->Message_Block[113] = (uint8_t)(context->Length_High >> 48); context->Message_Block[114] = (uint8_t)(context->Length_High >> 40); context->Message_Block[115] = (uint8_t)(context->Length_High >> 32); context->Message_Block[116] = (uint8_t)(context->Length_High >> 24); context->Message_Block[117] = (uint8_t)(context->Length_High >> 16); context->Message_Block[118] = (uint8_t)(context->Length_High >> 8); context->Message_Block[119] = (uint8_t)(context->Length_High); context->Message_Block[120] = (uint8_t)(context->Length_Low >> 56); context->Message_Block[121] = (uint8_t)(context->Length_Low >> 48); context->Message_Block[122] = (uint8_t)(context->Length_Low >> 40); context->Message_Block[123] = (uint8_t)(context->Length_Low >> 32); context->Message_Block[124] = (uint8_t)(context->Length_Low >> 24); context->Message_Block[125] = (uint8_t)(context->Length_Low >> 16); context->Message_Block[126] = (uint8_t)(context->Length_Low >> 8); context->Message_Block[127] = (uint8_t)(context->Length_Low); #endif /* USE_32BIT_ONLY */ SHA384_512ProcessMessageBlock(context); } /* * SHA384_512ResultN * * Description: * This helper function will return the 384-bit or 512-bit message * digest into the Message_Digest array provided by the caller. Eastlake & Hansen Informational PAGE 71

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * NOTE: * The first octet of hash is stored in the element with index 0, * the last octet of hash in the element with index 47/63. * * Parameters: * context: [in/out] * The context to use to calculate the SHA hash. * Message_Digest[ ]: [out] * Where the digest is returned. * HashSize: [in] * The size of the hash, either 48 or 64. * * Returns: * sha Error Code. * */ static int SHA384_512ResultN(SHA512Context *context, uint8_t Message_Digest[ ], int HashSize) { int i; #ifdef USE_32BIT_ONLY int i2; #endif /* USE_32BIT_ONLY */ if (!context) return shaNull; if (!Message_Digest) return shaNull; if (context->Corrupted) return context->Corrupted; if (!context->Computed) SHA384_512Finalize(context, 0x80); #ifdef USE_32BIT_ONLY for (i = i2 = 0; i < HashSize; ) { Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2]>>24); Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2]>>16); Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2]>>8); Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2++]); Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2]>>24); Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2]>>16); Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2]>>8); Message_Digest[i++]=(uint8_t)(context->Intermediate_Hash[i2++]); } #else /* !USE_32BIT_ONLY */ for (i = 0; i < HashSize; ++i) Message_Digest[i] = (uint8_t) (context->Intermediate_Hash[i>>3] >> 8 * ( 7 - ( i % 8 ) )); #endif /* USE_32BIT_ONLY */ Eastlake & Hansen Informational PAGE 72

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 return shaSuccess; } 8.2.4. usha.c /**************************** usha.c ***************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as */ /* authors of the code. All rights reserved. */ /* See sha.h for terms of use and redistribution. */ /* * Description: * This file implements a unified interface to the SHA algorithms. */ #include "sha.h" /* * USHAReset * * Description: * This function will initialize the SHA Context in preparation * for computing a new SHA message digest. * * Parameters: * context: [in/out] * The context to reset. * whichSha: [in] * Selects which SHA reset to call * * Returns: * sha Error Code. * */ int USHAReset(USHAContext *context, enum SHAversion whichSha) { if (!context) return shaNull; context->whichSha = whichSha; switch (whichSha) { case SHA1: return SHA1Reset((SHA1Context*)&context->ctx); case SHA224: return SHA224Reset((SHA224Context*)&context->ctx); case SHA256: return SHA256Reset((SHA256Context*)&context->ctx); case SHA384: return SHA384Reset((SHA384Context*)&context->ctx); case SHA512: return SHA512Reset((SHA512Context*)&context->ctx); default: return shaBadParam; } } Eastlake & Hansen Informational PAGE 73

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * USHAInput * * Description: * This function accepts an array of octets as the next portion * of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_array: [in] * An array of octets representing the next portion of * the message. * length: [in] * The length of the message in message_array. * * Returns: * sha Error Code. * */ int USHAInput(USHAContext *context, const uint8_t *bytes, unsigned int bytecount) { if (!context) return shaNull; switch (context->whichSha) { case SHA1: return SHA1Input((SHA1Context*)&context->ctx, bytes, bytecount); case SHA224: return SHA224Input((SHA224Context*)&context->ctx, bytes, bytecount); case SHA256: return SHA256Input((SHA256Context*)&context->ctx, bytes, bytecount); case SHA384: return SHA384Input((SHA384Context*)&context->ctx, bytes, bytecount); case SHA512: return SHA512Input((SHA512Context*)&context->ctx, bytes, bytecount); default: return shaBadParam; } } Eastlake & Hansen Informational PAGE 74

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * USHAFinalBits * * Description: * This function will add in any final bits of the message. * * Parameters: * context: [in/out] * The SHA context to update. * message_bits: [in] * The final bits of the message, in the upper portion of the * byte. (Use 0b###00000 instead of 0b00000### to input the * three bits ###.) * length: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. */ int USHAFinalBits(USHAContext *context, uint8_t bits, unsigned int bit_count) { if (!context) return shaNull; switch (context->whichSha) { case SHA1: return SHA1FinalBits((SHA1Context*)&context->ctx, bits, bit_count); case SHA224: return SHA224FinalBits((SHA224Context*)&context->ctx, bits, bit_count); case SHA256: return SHA256FinalBits((SHA256Context*)&context->ctx, bits, bit_count); case SHA384: return SHA384FinalBits((SHA384Context*)&context->ctx, bits, bit_count); case SHA512: return SHA512FinalBits((SHA512Context*)&context->ctx, bits, bit_count); default: return shaBadParam; } } Eastlake & Hansen Informational PAGE 75

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * USHAResult * * Description: * This function will return the message digest of the appropriate * bit size, as returned by USHAHashSizeBits(whichSHA) for the * 'whichSHA' value used in the preceeding call to USHAReset, * into the Message_Digest array provided by the caller. * * Parameters: * context: [in/out] * The context to use to calculate the SHA-1 hash. * Message_Digest: [out] * Where the digest is returned. * * Returns: * sha Error Code. * */ int USHAResult(USHAContext *context, uint8_t Message_Digest[USHAMaxHashSize]) { if (!context) return shaNull; switch (context->whichSha) { case SHA1: return SHA1Result((SHA1Context*)&context->ctx, Message_Digest); case SHA224: return SHA224Result((SHA224Context*)&context->ctx, Message_Digest); case SHA256: return SHA256Result((SHA256Context*)&context->ctx, Message_Digest); case SHA384: return SHA384Result((SHA384Context*)&context->ctx, Message_Digest); case SHA512: return SHA512Result((SHA512Context*)&context->ctx, Message_Digest); default: return shaBadParam; } } /* * USHABlockSize * * Description: * This function will return the blocksize for the given SHA * algorithm. Eastlake & Hansen Informational PAGE 76

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * * Parameters: * whichSha: * which SHA algorithm to query * * Returns: * block size * */ int USHABlockSize(enum SHAversion whichSha) { switch (whichSha) { case SHA1: return SHA1_Message_Block_Size; case SHA224: return SHA224_Message_Block_Size; case SHA256: return SHA256_Message_Block_Size; case SHA384: return SHA384_Message_Block_Size; default: case SHA512: return SHA512_Message_Block_Size; } } /* * USHAHashSize * * Description: * This function will return the hashsize for the given SHA * algorithm. * * Parameters: * whichSha: * which SHA algorithm to query * * Returns: * hash size * */ int USHAHashSize(enum SHAversion whichSha) { switch (whichSha) { case SHA1: return SHA1HashSize; case SHA224: return SHA224HashSize; case SHA256: return SHA256HashSize; case SHA384: return SHA384HashSize; default: case SHA512: return SHA512HashSize; } } Eastlake & Hansen Informational PAGE 77

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* * USHAHashSizeBits * * Description: * This function will return the hashsize for the given SHA * algorithm, expressed in bits. * * Parameters: * whichSha: * which SHA algorithm to query * * Returns: * hash size in bits * */ int USHAHashSizeBits(enum SHAversion whichSha) { switch (whichSha) { case SHA1: return SHA1HashSizeBits; case SHA224: return SHA224HashSizeBits; case SHA256: return SHA256HashSizeBits; case SHA384: return SHA384HashSizeBits; default: case SHA512: return SHA512HashSizeBits; } } /* * USHAHashName * * Description: * This function will return the name of the given SHA algorithm * as a string. * * Parameters: * whichSha: * which SHA algorithm to query * * Returns: * character string with the name in it * */ const char *USHAHashName(enum SHAversion whichSha) { switch (whichSha) { case SHA1: return "SHA1"; case SHA224: return "SHA224"; case SHA256: return "SHA256"; Eastlake & Hansen Informational PAGE 78

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 case SHA384: return "SHA384"; default: case SHA512: return "SHA512"; } } 8.3. The HMAC Code /**************************** hmac.c ***************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as */ /* authors of the code. All rights reserved. */ /* See sha.h for terms of use and redistribution. */ /* * Description: * This file implements the HMAC algorithm (Keyed-Hashing for * Message Authentication, [RFC 2104]), expressed in terms of * the various SHA algorithms. */ #include "sha.h" /* * hmac * * Description: * This function will compute an HMAC message digest. * * Parameters: * whichSha: [in] * One of SHA1, SHA224, SHA256, SHA384, SHA512 * message_array[ ]: [in] * An array of octets representing the message. * Note: in RFC 2104, this parameter is known * as 'text'. * length: [in] * The length of the message in message_array. * key[ ]: [in] * The secret shared key. * key_len: [in] * The length of the secret shared key. * digest[ ]: [out] * Where the digest is to be returned. * NOTE: The length of the digest is determined by * the value of whichSha. * Eastlake & Hansen Informational PAGE 79

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * Returns: * sha Error Code. * */ int hmac(SHAversion whichSha, const unsigned char *message_array, int length, const unsigned char *key, int key_len, uint8_t digest[USHAMaxHashSize]) { HMACContext context; return hmacReset(&context, whichSha, key, key_len) || hmacInput(&context, message_array, length) || hmacResult(&context, digest); } /* * hmacReset * * Description: * This function will initialize the hmacContext in preparation * for computing a new HMAC message digest. * * Parameters: * context: [in/out] * The context to reset. * whichSha: [in] * One of SHA1, SHA224, SHA256, SHA384, SHA512 * key[ ]: [in] * The secret shared key. * key_len: [in] * The length of the secret shared key. * * Returns: * sha Error Code. * */ int hmacReset(HMACContext *context, enum SHAversion whichSha, const unsigned char *key, int key_len) { int i, blocksize, hashsize, ret; /* inner padding - key XORd with ipad */ unsigned char k_ipad[USHA_Max_Message_Block_Size]; /* temporary buffer when keylen > blocksize */ unsigned char tempkey[USHAMaxHashSize]; Eastlake & Hansen Informational PAGE 80

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 if (!context) return shaNull; context->Computed = 0; context->Corrupted = shaSuccess; blocksize = context->blockSize = USHABlockSize(whichSha); hashsize = context->hashSize = USHAHashSize(whichSha); context->whichSha = whichSha; /* * If key is longer than the hash blocksize, * reset it to key = HASH(key). */ if (key_len > blocksize) { USHAContext tcontext; int err = USHAReset(&tcontext, whichSha) || USHAInput(&tcontext, key, key_len) || USHAResult(&tcontext, tempkey); if (err != shaSuccess) return err; key = tempkey; key_len = hashsize; } /* * The HMAC transform looks like: * * SHA(K XOR opad, SHA(K XOR ipad, text)) * * where K is an n byte key, 0-padded to a total of blocksize bytes, * ipad is the byte 0x36 repeated blocksize times, * opad is the byte 0x5c repeated blocksize times, * and text is the data being protected. */ /* store key into the pads, XOR'd with ipad and opad values */ for (i = 0; i < key_len; i++) { k_ipad[i] = key[i] ^ 0x36; context->k_opad[i] = key[i] ^ 0x5c; } /* remaining pad bytes are '\0' XOR'd with ipad and opad values */ for ( ; i < blocksize; i++) { k_ipad[i] = 0x36; context->k_opad[i] = 0x5c; } /* perform inner hash */ /* init context for 1st pass */ ret = USHAReset(&context->shaContext, whichSha) || Eastlake & Hansen Informational PAGE 81

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* and start with inner pad */ USHAInput(&context->shaContext, k_ipad, blocksize); return context->Corrupted = ret; } /* * hmacInput * * Description: * This function accepts an array of octets as the next portion * of the message. It may be called multiple times. * * Parameters: * context: [in/out] * The HMAC context to update. * text[ ]: [in] * An array of octets representing the next portion of * the message. * text_len: [in] * The length of the message in text. * * Returns: * sha Error Code. * */ int hmacInput(HMACContext *context, const unsigned char *text, int text_len) { if (!context) return shaNull; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; /* then text of datagram */ return context->Corrupted = USHAInput(&context->shaContext, text, text_len); } /* * hmacFinalBits * * Description: * This function will add in any final bits of the message. * * Parameters: * context: [in/out] * The HMAC context to update. * message_bits: [in] * The final bits of the message, in the upper portion of the * byte. (Use 0b###00000 instead of 0b00000### to input the Eastlake & Hansen Informational PAGE 82

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * three bits ###.) * length: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. */ int hmacFinalBits(HMACContext *context, uint8_t bits, unsigned int bit_count) { if (!context) return shaNull; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; /* then final bits of datagram */ return context->Corrupted = USHAFinalBits(&context->shaContext, bits, bit_count); } /* * hmacResult * * Description: * This function will return the N-byte message digest into the * Message_Digest array provided by the caller. * * Parameters: * context: [in/out] * The context to use to calculate the HMAC hash. * digest[ ]: [out] * Where the digest is returned. * NOTE 2: The length of the hash is determined by the value of * whichSha that was passed to hmacReset(). * * Returns: * sha Error Code. * */ int hmacResult(HMACContext *context, uint8_t *digest) { int ret; if (!context) return shaNull; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; /* finish up 1st pass */ /* (Use digest here as a temporary buffer.) */ ret = USHAResult(&context->shaContext, digest) || Eastlake & Hansen Informational PAGE 83

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* perform outer SHA */ /* init context for 2nd pass */ USHAReset(&context->shaContext, context->whichSha) || /* start with outer pad */ USHAInput(&context->shaContext, context->k_opad, context->blockSize) || /* then results of 1st hash */ USHAInput(&context->shaContext, digest, context->hashSize) || /* finish up 2nd pass */ USHAResult(&context->shaContext, digest); context->Computed = 1; return context->Corrupted = ret; } 8.4. The HKDF Code /**************************** hkdf.c ***************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as */ /* authors of the code. All rights reserved. */ /* See sha.h for terms of use and redistribution. */ /* * Description: * This file implements the HKDF algorithm (HMAC-based * Extract-and-Expand Key Derivation Function, RFC 5869), * expressed in terms of the various SHA algorithms. */ #include "sha.h" #include <string.h> #include <stdlib.h> /* * hkdf * * Description: * This function will generate keying material using HKDF. * * Parameters: * whichSha: [in] * One of SHA1, SHA224, SHA256, SHA384, SHA512 * salt[ ]: [in] * The optional salt value (a non-secret random value); * if not provided (salt == NULL), it is set internally Eastlake & Hansen Informational PAGE 84

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * to a string of HashLen(whichSha) zeros. * salt_len: [in] * The length of the salt value. (Ignored if salt == NULL.) * ikm[ ]: [in] * Input keying material. * ikm_len: [in] * The length of the input keying material. * info[ ]: [in] * The optional context and application specific information. * If info == NULL or a zero-length string, it is ignored. * info_len: [in] * The length of the optional context and application specific * information. (Ignored if info == NULL.) * okm[ ]: [out] * Where the HKDF is to be stored. * okm_len: [in] * The length of the buffer to hold okm. * okm_len must be <= 255 * USHABlockSize(whichSha) * * Notes: * Calls hkdfExtract() and hkdfExpand(). * * Returns: * sha Error Code. * */ int hkdf(SHAversion whichSha, const unsigned char *salt, int salt_len, const unsigned char *ikm, int ikm_len, const unsigned char *info, int info_len, uint8_t okm[ ], int okm_len) { uint8_t prk[USHAMaxHashSize]; return hkdfExtract(whichSha, salt, salt_len, ikm, ikm_len, prk) || hkdfExpand(whichSha, prk, USHAHashSize(whichSha), info, info_len, okm, okm_len); } /* * hkdfExtract * * Description: * This function will perform HKDF extraction. * * Parameters: * whichSha: [in] * One of SHA1, SHA224, SHA256, SHA384, SHA512 * salt[ ]: [in] Eastlake & Hansen Informational PAGE 85

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * The optional salt value (a non-secret random value); * if not provided (salt == NULL), it is set internally * to a string of HashLen(whichSha) zeros. * salt_len: [in] * The length of the salt value. (Ignored if salt == NULL.) * ikm[ ]: [in] * Input keying material. * ikm_len: [in] * The length of the input keying material. * prk[ ]: [out] * Array where the HKDF extraction is to be stored. * Must be larger than USHAHashSize(whichSha); * * Returns: * sha Error Code. * */ int hkdfExtract(SHAversion whichSha, const unsigned char *salt, int salt_len, const unsigned char *ikm, int ikm_len, uint8_t prk[USHAMaxHashSize]) { unsigned char nullSalt[USHAMaxHashSize]; if (salt == 0) { salt = nullSalt; salt_len = USHAHashSize(whichSha); memset(nullSalt, '\0', salt_len); } else if (salt_len < 0) { return shaBadParam; } return hmac(whichSha, ikm, ikm_len, salt, salt_len, prk); } /* * hkdfExpand * * Description: * This function will perform HKDF expansion. * * Parameters: * whichSha: [in] * One of SHA1, SHA224, SHA256, SHA384, SHA512 * prk[ ]: [in] * The pseudo-random key to be expanded; either obtained * directly from a cryptographically strong, uniformly * distributed pseudo-random number generator, or as the * output from hkdfExtract(). * prk_len: [in] Eastlake & Hansen Informational PAGE 86

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * The length of the pseudo-random key in prk; * should at least be equal to USHAHashSize(whichSHA). * info[ ]: [in] * The optional context and application specific information. * If info == NULL or a zero-length string, it is ignored. * info_len: [in] * The length of the optional context and application specific * information. (Ignored if info == NULL.) * okm[ ]: [out] * Where the HKDF is to be stored. * okm_len: [in] * The length of the buffer to hold okm. * okm_len must be <= 255 * USHABlockSize(whichSha) * * Returns: * sha Error Code. * */ int hkdfExpand(SHAversion whichSha, const uint8_t prk[ ], int prk_len, const unsigned char *info, int info_len, uint8_t okm[ ], int okm_len) { int hash_len, N; unsigned char T[USHAMaxHashSize]; int Tlen, where, i; if (info == 0) { info = (const unsigned char *)""; info_len = 0; } else if (info_len < 0) { return shaBadParam; } if (okm_len <= 0) return shaBadParam; if (!okm) return shaBadParam; hash_len = USHAHashSize(whichSha); if (prk_len < hash_len) return shaBadParam; N = okm_len / hash_len; if ((okm_len % hash_len) != 0) N++; if (N > 255) return shaBadParam; Tlen = 0; where = 0; for (i = 1; i <= N; i++) { HMACContext context; unsigned char c = i; int ret = hmacReset(&context, whichSha, prk, prk_len) || hmacInput(&context, T, Tlen) || Eastlake & Hansen Informational PAGE 87

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 hmacInput(&context, info, info_len) || hmacInput(&context, &c, 1) || hmacResult(&context, T); if (ret != shaSuccess) return ret; memcpy(okm + where, T, (i != N) ? hash_len : (okm_len - where)); where += hash_len; Tlen = hash_len; } return shaSuccess; } /* * hkdfReset * * Description: * This function will initialize the hkdfContext in preparation * for key derivation using the modular HKDF interface for * arbitrary length inputs. * * Parameters: * context: [in/out] * The context to reset. * whichSha: [in] * One of SHA1, SHA224, SHA256, SHA384, SHA512 * salt[ ]: [in] * The optional salt value (a non-secret random value); * if not provided (salt == NULL), it is set internally * to a string of HashLen(whichSha) zeros. * salt_len: [in] * The length of the salt value. (Ignored if salt == NULL.) * * Returns: * sha Error Code. * */ int hkdfReset(HKDFContext *context, enum SHAversion whichSha, const unsigned char *salt, int salt_len) { unsigned char nullSalt[USHAMaxHashSize]; if (!context) return shaNull; context->whichSha = whichSha; context->hashSize = USHAHashSize(whichSha); if (salt == 0) { salt = nullSalt; salt_len = context->hashSize; memset(nullSalt, '\0', salt_len); Eastlake & Hansen Informational PAGE 88

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 } return hmacReset(&context->hmacContext, whichSha, salt, salt_len); } /* * hkdfInput * * Description: * This function accepts an array of octets as the next portion * of the input keying material. It may be called multiple times. * * Parameters: * context: [in/out] * The HKDF context to update. * ikm[ ]: [in] * An array of octets representing the next portion of * the input keying material. * ikm_len: [in] * The length of ikm. * * Returns: * sha Error Code. * */ int hkdfInput(HKDFContext *context, const unsigned char *ikm, int ikm_len) { if (!context) return shaNull; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; return hmacInput(&context->hmacContext, ikm, ikm_len); } /* * hkdfFinalBits * * Description: * This function will add in any final bits of the * input keying material. * * Parameters: * context: [in/out] * The HKDF context to update * ikm_bits: [in] * The final bits of the input keying material, in the upper * portion of the byte. (Use 0b###00000 instead of 0b00000### * to input the three bits ###.) Eastlake & Hansen Informational PAGE 89

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * ikm_bit_count: [in] * The number of bits in message_bits, between 1 and 7. * * Returns: * sha Error Code. */ int hkdfFinalBits(HKDFContext *context, uint8_t ikm_bits, unsigned int ikm_bit_count) { if (!context) return shaNull; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; return hmacFinalBits(&context->hmacContext, ikm_bits, ikm_bit_count); } /* * hkdfResult * * Description: * This function will finish the HKDF extraction and perform the * final HKDF expansion. * * Parameters: * context: [in/out] * The HKDF context to use to calculate the HKDF hash. * prk[ ]: [out] * An optional location to store the HKDF extraction. * Either NULL, or pointer to a buffer that must be * larger than USHAHashSize(whichSha); * info[ ]: [in] * The optional context and application specific information. * If info == NULL or a zero-length string, it is ignored. * info_len: [in] * The length of the optional context and application specific * information. (Ignored if info == NULL.) * okm[ ]: [out] * Where the HKDF is to be stored. * okm_len: [in] * The length of the buffer to hold okm. * okm_len must be <= 255 * USHABlockSize(whichSha) * * Returns: * sha Error Code. * */ int hkdfResult(HKDFContext *context, uint8_t prk[USHAMaxHashSize], const unsigned char *info, int info_len, Eastlake & Hansen Informational PAGE 90

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 uint8_t okm[ ], int okm_len) { uint8_t prkbuf[USHAMaxHashSize]; int ret; if (!context) return shaNull; if (context->Corrupted) return context->Corrupted; if (context->Computed) return context->Corrupted = shaStateError; if (!okm) return context->Corrupted = shaBadParam; if (!prk) prk = prkbuf; ret = hmacResult(&context->hmacContext, prk) || hkdfExpand(context->whichSha, prk, context->hashSize, info, info_len, okm, okm_len); context->Computed = 1; return context->Corrupted = ret; } 8.5. The Test Driver The following code is a main program test driver to exercise the code in sha1.c, sha224-256.c, sha384-512.c, hmac.c, and hkdf.c. The test driver can also be used as a standalone program for generating the hashes. Note that the tests assume that character values are as in [US-ASCII] and a run time check warns if the code appears to have been compiled with some other character system. See also [SHAVS]. /************************** shatest.c **************************/ /***************** See RFC 6234 for details. *******************/ /* Copyright (c) 2011 IETF Trust and the persons identified as */ /* authors of the code. All rights reserved. */ /* See sha.h for terms of use and redistribution. */ /* * Description: * This file will exercise the SHA code performing * the three tests documented in FIPS PUB 180-3 * (http://csrc.nist.gov/publications/fips/ * fips180-2/fips180-2withchangenotice.pdf) * one that calls SHAInput with an exact multiple of 512 bits * the seven tests documented for each algorithm in * "The Secure Hash Algorithm Validation System (SHAVS)" * (http://csrc.nist.gov/cryptval/shs/SHAVS.pdf), * three of which are bit-level tests * Eastlake & Hansen Informational PAGE 91

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 * These tests have subsequently been moved to pages linked from * http://csrc.nist.gov/groups/ST/toolkit/examples.html * * This file will exercise the HMAC SHA1 code performing * the seven tests documented in RFCs [RFC 2202] and [RFC 4231]. * * This file will exercise the HKDF code performing * the seven tests documented in RFC 4869. * * To run the tests and just see PASSED/FAILED, use the -p option. * * Other options exercise: * hashing an arbitrary string * hashing a file's contents * a few error test checks * printing the results in raw format * * Portability Issues: * None. * */ #include <stdint.h> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <ctype.h> #include <unistd.h> /* defines getopt() and optarg */ #include "sha.h" static int scasecmp(const char *s1, const char *s2); /* * Define patterns for testing */ #define TEST1 "abc" #define TEST2_1 \ "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq" #define TEST2_2a \ "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmn" #define TEST2_2b \ "hijklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu" #define TEST2_2 TEST2_2a TEST2_2b #define TEST3 "a" /* times 1000000 */ #define TEST4a "01234567012345670123456701234567" #define TEST4b "01234567012345670123456701234567" /* an exact multiple of 512 bits */ #define TEST4 TEST4a TEST4b /* times 10 */ Eastlake & Hansen Informational PAGE 92

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 #define TEST7_1 \ "\x49\xb2\xae\xc2\x59\x4b\xbe\x3a\x3b\x11\x75\x42\xd9\x4a\xc8" #define TEST8_1 \ "\x9a\x7d\xfd\xf1\xec\xea\xd0\x6e\xd6\x46\xaa\x55\xfe\x75\x71\x46" #define TEST9_1 \ "\x65\xf9\x32\x99\x5b\xa4\xce\x2c\xb1\xb4\xa2\xe7\x1a\xe7\x02\x20" \ "\xaa\xce\xc8\x96\x2d\xd4\x49\x9c\xbd\x7c\x88\x7a\x94\xea\xaa\x10" \ "\x1e\xa5\xaa\xbc\x52\x9b\x4e\x7e\x43\x66\x5a\x5a\xf2\xcd\x03\xfe" \ "\x67\x8e\xa6\xa5\x00\x5b\xba\x3b\x08\x22\x04\xc2\x8b\x91\x09\xf4" \ "\x69\xda\xc9\x2a\xaa\xb3\xaa\x7c\x11\xa1\xb3\x2a" #define TEST10_1 \ "\xf7\x8f\x92\x14\x1b\xcd\x17\x0a\xe8\x9b\x4f\xba\x15\xa1\xd5\x9f" \ "\x3f\xd8\x4d\x22\x3c\x92\x51\xbd\xac\xbb\xae\x61\xd0\x5e\xd1\x15" \ "\xa0\x6a\x7c\xe1\x17\xb7\xbe\xea\xd2\x44\x21\xde\xd9\xc3\x25\x92" \ "\xbd\x57\xed\xea\xe3\x9c\x39\xfa\x1f\xe8\x94\x6a\x84\xd0\xcf\x1f" \ "\x7b\xee\xad\x17\x13\xe2\xe0\x95\x98\x97\x34\x7f\x67\xc8\x0b\x04" \ "\x00\xc2\x09\x81\x5d\x6b\x10\xa6\x83\x83\x6f\xd5\x56\x2a\x56\xca" \ "\xb1\xa2\x8e\x81\xb6\x57\x66\x54\x63\x1c\xf1\x65\x66\xb8\x6e\x3b" \ "\x33\xa1\x08\xb0\x53\x07\xc0\x0a\xff\x14\xa7\x68\xed\x73\x50\x60" \ "\x6a\x0f\x85\xe6\xa9\x1d\x39\x6f\x5b\x5c\xbe\x57\x7f\x9b\x38\x80" \ "\x7c\x7d\x52\x3d\x6d\x79\x2f\x6e\xbc\x24\xa4\xec\xf2\xb3\xa4\x27" \ "\xcd\xbb\xfb" #define TEST7_224 \ "\xf0\x70\x06\xf2\x5a\x0b\xea\x68\xcd\x76\xa2\x95\x87\xc2\x8d" #define TEST8_224 \ "\x18\x80\x40\x05\xdd\x4f\xbd\x15\x56\x29\x9d\x6f\x9d\x93\xdf\x62" #define TEST9_224 \ "\xa2\xbe\x6e\x46\x32\x81\x09\x02\x94\xd9\xce\x94\x82\x65\x69\x42" \ "\x3a\x3a\x30\x5e\xd5\xe2\x11\x6c\xd4\xa4\xc9\x87\xfc\x06\x57\x00" \ "\x64\x91\xb1\x49\xcc\xd4\xb5\x11\x30\xac\x62\xb1\x9d\xc2\x48\xc7" \ "\x44\x54\x3d\x20\xcd\x39\x52\xdc\xed\x1f\x06\xcc\x3b\x18\xb9\x1f" \ "\x3f\x55\x63\x3e\xcc\x30\x85\xf4\x90\x70\x60\xd2" #define TEST10_224 \ "\x55\xb2\x10\x07\x9c\x61\xb5\x3a\xdd\x52\x06\x22\xd1\xac\x97\xd5" \ "\xcd\xbe\x8c\xb3\x3a\xa0\xae\x34\x45\x17\xbe\xe4\xd7\xba\x09\xab" \ "\xc8\x53\x3c\x52\x50\x88\x7a\x43\xbe\xbb\xac\x90\x6c\x2e\x18\x37" \ "\xf2\x6b\x36\xa5\x9a\xe3\xbe\x78\x14\xd5\x06\x89\x6b\x71\x8b\x2a" \ "\x38\x3e\xcd\xac\x16\xb9\x61\x25\x55\x3f\x41\x6f\xf3\x2c\x66\x74" \ "\xc7\x45\x99\xa9\x00\x53\x86\xd9\xce\x11\x12\x24\x5f\x48\xee\x47" \ "\x0d\x39\x6c\x1e\xd6\x3b\x92\x67\x0c\xa5\x6e\xc8\x4d\xee\xa8\x14" \ "\xb6\x13\x5e\xca\x54\x39\x2b\xde\xdb\x94\x89\xbc\x9b\x87\x5a\x8b" \ "\xaf\x0d\xc1\xae\x78\x57\x36\x91\x4a\xb7\xda\xa2\x64\xbc\x07\x9d" \ "\x26\x9f\x2c\x0d\x7e\xdd\xd8\x10\xa4\x26\x14\x5a\x07\x76\xf6\x7c" \ "\x87\x82\x73" #define TEST7_256 \ "\xbe\x27\x46\xc6\xdb\x52\x76\x5f\xdb\x2f\x88\x70\x0f\x9a\x73" #define TEST8_256 \ "\xe3\xd7\x25\x70\xdc\xdd\x78\x7c\xe3\x88\x7a\xb2\xcd\x68\x46\x52" Eastlake & Hansen Informational PAGE 93

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 #define TEST9_256 \ "\x3e\x74\x03\x71\xc8\x10\xc2\xb9\x9f\xc0\x4e\x80\x49\x07\xef\x7c" \ "\xf2\x6b\xe2\x8b\x57\xcb\x58\xa3\xe2\xf3\xc0\x07\x16\x6e\x49\xc1" \ "\x2e\x9b\xa3\x4c\x01\x04\x06\x91\x29\xea\x76\x15\x64\x25\x45\x70" \ "\x3a\x2b\xd9\x01\xe1\x6e\xb0\xe0\x5d\xeb\xa0\x14\xeb\xff\x64\x06" \ "\xa0\x7d\x54\x36\x4e\xff\x74\x2d\xa7\x79\xb0\xb3" #define TEST10_256 \ "\x83\x26\x75\x4e\x22\x77\x37\x2f\x4f\xc1\x2b\x20\x52\x7a\xfe\xf0" \ "\x4d\x8a\x05\x69\x71\xb1\x1a\xd5\x71\x23\xa7\xc1\x37\x76\x00\x00" \ "\xd7\xbe\xf6\xf3\xc1\xf7\xa9\x08\x3a\xa3\x9d\x81\x0d\xb3\x10\x77" \ "\x7d\xab\x8b\x1e\x7f\x02\xb8\x4a\x26\xc7\x73\x32\x5f\x8b\x23\x74" \ "\xde\x7a\x4b\x5a\x58\xcb\x5c\x5c\xf3\x5b\xce\xe6\xfb\x94\x6e\x5b" \ "\xd6\x94\xfa\x59\x3a\x8b\xeb\x3f\x9d\x65\x92\xec\xed\xaa\x66\xca" \ "\x82\xa2\x9d\x0c\x51\xbc\xf9\x33\x62\x30\xe5\xd7\x84\xe4\xc0\xa4" \ "\x3f\x8d\x79\xa3\x0a\x16\x5c\xba\xbe\x45\x2b\x77\x4b\x9c\x71\x09" \ "\xa9\x7d\x13\x8f\x12\x92\x28\x96\x6f\x6c\x0a\xdc\x10\x6a\xad\x5a" \ "\x9f\xdd\x30\x82\x57\x69\xb2\xc6\x71\xaf\x67\x59\xdf\x28\xeb\x39" \ "\x3d\x54\xd6" #define TEST7_384 \ "\x8b\xc5\x00\xc7\x7c\xee\xd9\x87\x9d\xa9\x89\x10\x7c\xe0\xaa" #define TEST8_384 \ "\xa4\x1c\x49\x77\x79\xc0\x37\x5f\xf1\x0a\x7f\x4e\x08\x59\x17\x39" #define TEST9_384 \ "\x68\xf5\x01\x79\x2d\xea\x97\x96\x76\x70\x22\xd9\x3d\xa7\x16\x79" \ "\x30\x99\x20\xfa\x10\x12\xae\xa3\x57\xb2\xb1\x33\x1d\x40\xa1\xd0" \ "\x3c\x41\xc2\x40\xb3\xc9\xa7\x5b\x48\x92\xf4\xc0\x72\x4b\x68\xc8" \ "\x75\x32\x1a\xb8\xcf\xe5\x02\x3b\xd3\x75\xbc\x0f\x94\xbd\x89\xfe" \ "\x04\xf2\x97\x10\x5d\x7b\x82\xff\xc0\x02\x1a\xeb\x1c\xcb\x67\x4f" \ "\x52\x44\xea\x34\x97\xde\x26\xa4\x19\x1c\x5f\x62\xe5\xe9\xa2\xd8" \ "\x08\x2f\x05\x51\xf4\xa5\x30\x68\x26\xe9\x1c\xc0\x06\xce\x1b\xf6" \ "\x0f\xf7\x19\xd4\x2f\xa5\x21\xc8\x71\xcd\x23\x94\xd9\x6e\xf4\x46" \ "\x8f\x21\x96\x6b\x41\xf2\xba\x80\xc2\x6e\x83\xa9" #define TEST10_384 \ "\x39\x96\x69\xe2\x8f\x6b\x9c\x6d\xbc\xbb\x69\x12\xec\x10\xff\xcf" \ "\x74\x79\x03\x49\xb7\xdc\x8f\xbe\x4a\x8e\x7b\x3b\x56\x21\xdb\x0f" \ "\x3e\x7d\xc8\x7f\x82\x32\x64\xbb\xe4\x0d\x18\x11\xc9\xea\x20\x61" \ "\xe1\xc8\x4a\xd1\x0a\x23\xfa\xc1\x72\x7e\x72\x02\xfc\x3f\x50\x42" \ "\xe6\xbf\x58\xcb\xa8\xa2\x74\x6e\x1f\x64\xf9\xb9\xea\x35\x2c\x71" \ "\x15\x07\x05\x3c\xf4\xe5\x33\x9d\x52\x86\x5f\x25\xcc\x22\xb5\xe8" \ "\x77\x84\xa1\x2f\xc9\x61\xd6\x6c\xb6\xe8\x95\x73\x19\x9a\x2c\xe6" \ "\x56\x5c\xbd\xf1\x3d\xca\x40\x38\x32\xcf\xcb\x0e\x8b\x72\x11\xe8" \ "\x3a\xf3\x2a\x11\xac\x17\x92\x9f\xf1\xc0\x73\xa5\x1c\xc0\x27\xaa" \ "\xed\xef\xf8\x5a\xad\x7c\x2b\x7c\x5a\x80\x3e\x24\x04\xd9\x6d\x2a" \ "\x77\x35\x7b\xda\x1a\x6d\xae\xed\x17\x15\x1c\xb9\xbc\x51\x25\xa4" \ "\x22\xe9\x41\xde\x0c\xa0\xfc\x50\x11\xc2\x3e\xcf\xfe\xfd\xd0\x96" \ "\x76\x71\x1c\xf3\xdb\x0a\x34\x40\x72\x0e\x16\x15\xc1\xf2\x2f\xbc" \ "\x3c\x72\x1d\xe5\x21\xe1\xb9\x9b\xa1\xbd\x55\x77\x40\x86\x42\x14" \ "\x7e\xd0\x96" Eastlake & Hansen Informational PAGE 94

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 #define TEST7_512 \ "\x08\xec\xb5\x2e\xba\xe1\xf7\x42\x2d\xb6\x2b\xcd\x54\x26\x70" #define TEST8_512 \ "\x8d\x4e\x3c\x0e\x38\x89\x19\x14\x91\x81\x6e\x9d\x98\xbf\xf0\xa0" #define TEST9_512 \ "\x3a\xdd\xec\x85\x59\x32\x16\xd1\x61\x9a\xa0\x2d\x97\x56\x97\x0b" \ "\xfc\x70\xac\xe2\x74\x4f\x7c\x6b\x27\x88\x15\x10\x28\xf7\xb6\xa2" \ "\x55\x0f\xd7\x4a\x7e\x6e\x69\xc2\xc9\xb4\x5f\xc4\x54\x96\x6d\xc3" \ "\x1d\x2e\x10\xda\x1f\x95\xce\x02\xbe\xb4\xbf\x87\x65\x57\x4c\xbd" \ "\x6e\x83\x37\xef\x42\x0a\xdc\x98\xc1\x5c\xb6\xd5\xe4\xa0\x24\x1b" \ "\xa0\x04\x6d\x25\x0e\x51\x02\x31\xca\xc2\x04\x6c\x99\x16\x06\xab" \ "\x4e\xe4\x14\x5b\xee\x2f\xf4\xbb\x12\x3a\xab\x49\x8d\x9d\x44\x79" \ "\x4f\x99\xcc\xad\x89\xa9\xa1\x62\x12\x59\xed\xa7\x0a\x5b\x6d\xd4" \ "\xbd\xd8\x77\x78\xc9\x04\x3b\x93\x84\xf5\x49\x06" #define TEST10_512 \ "\xa5\x5f\x20\xc4\x11\xaa\xd1\x32\x80\x7a\x50\x2d\x65\x82\x4e\x31" \ "\xa2\x30\x54\x32\xaa\x3d\x06\xd3\xe2\x82\xa8\xd8\x4e\x0d\xe1\xde" \ "\x69\x74\xbf\x49\x54\x69\xfc\x7f\x33\x8f\x80\x54\xd5\x8c\x26\xc4" \ "\x93\x60\xc3\xe8\x7a\xf5\x65\x23\xac\xf6\xd8\x9d\x03\xe5\x6f\xf2" \ "\xf8\x68\x00\x2b\xc3\xe4\x31\xed\xc4\x4d\xf2\xf0\x22\x3d\x4b\xb3" \ "\xb2\x43\x58\x6e\x1a\x7d\x92\x49\x36\x69\x4f\xcb\xba\xf8\x8d\x95" \ "\x19\xe4\xeb\x50\xa6\x44\xf8\xe4\xf9\x5e\xb0\xea\x95\xbc\x44\x65" \ "\xc8\x82\x1a\xac\xd2\xfe\x15\xab\x49\x81\x16\x4b\xbb\x6d\xc3\x2f" \ "\x96\x90\x87\xa1\x45\xb0\xd9\xcc\x9c\x67\xc2\x2b\x76\x32\x99\x41" \ "\x9c\xc4\x12\x8b\xe9\xa0\x77\xb3\xac\xe6\x34\x06\x4e\x6d\x99\x28" \ "\x35\x13\xdc\x06\xe7\x51\x5d\x0d\x73\x13\x2e\x9a\x0d\xc6\xd3\xb1" \ "\xf8\xb2\x46\xf1\xa9\x8a\x3f\xc7\x29\x41\xb1\xe3\xbb\x20\x98\xe8" \ "\xbf\x16\xf2\x68\xd6\x4f\x0b\x0f\x47\x07\xfe\x1e\xa1\xa1\x79\x1b" \ "\xa2\xf3\xc0\xc7\x58\xe5\xf5\x51\x86\x3a\x96\xc9\x49\xad\x47\xd7" \ "\xfb\x40\xd2" #define SHA1_SEED "\xd0\x56\x9c\xb3\x66\x5a\x8a\x43\xeb\x6e\xa2\x3d" \ "\x75\xa3\xc4\xd2\x05\x4a\x0d\x7d" #define SHA224_SEED "\xd0\x56\x9c\xb3\x66\x5a\x8a\x43\xeb\x6e\xa2" \ "\x3d\x75\xa3\xc4\xd2\x05\x4a\x0d\x7d\x66\xa9\xca\x99\xc9\xce\xb0" \ "\x27" #define SHA256_SEED "\xf4\x1e\xce\x26\x13\xe4\x57\x39\x15\x69\x6b" \ "\x5a\xdc\xd5\x1c\xa3\x28\xbe\x3b\xf5\x66\xa9\xca\x99\xc9\xce\xb0" \ "\x27\x9c\x1c\xb0\xa7" #define SHA384_SEED "\x82\x40\xbc\x51\xe4\xec\x7e\xf7\x6d\x18\xe3" \ "\x52\x04\xa1\x9f\x51\xa5\x21\x3a\x73\xa8\x1d\x6f\x94\x46\x80\xd3" \ "\x07\x59\x48\xb7\xe4\x63\x80\x4e\xa3\xd2\x6e\x13\xea\x82\x0d\x65" \ "\xa4\x84\xbe\x74\x53" #define SHA512_SEED "\x47\x3f\xf1\xb9\xb3\xff\xdf\xa1\x26\x69\x9a" \ "\xc7\xef\x9e\x8e\x78\x77\x73\x09\x58\x24\xc6\x42\x55\x7c\x13\x99" \ "\xd9\x8e\x42\x20\x44\x8d\xc3\x5b\x99\xbf\xdd\x44\x77\x95\x43\x92" \ "\x4c\x1c\xe9\x3b\xc5\x94\x15\x38\x89\x5d\xb9\x88\x26\x1b\x00\x77" \ "\x4b\x12\x27\x20\x39" Eastlake & Hansen Informational PAGE 95

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 #define TESTCOUNT 10 #define HASHCOUNT 5 #define RANDOMCOUNT 4 #define HMACTESTCOUNT 7 #define HKDFTESTCOUNT 7 #define PRINTNONE 0 #define PRINTTEXT 1 #define PRINTRAW 2 #define PRINTHEX 3 #define PRINTBASE64 4 #define PRINTPASSFAIL 1 #define PRINTFAIL 2 #define length(x) (sizeof(x)-1) /* Test arrays for hashes. */ struct hash { const char *name; SHAversion whichSha; int hashsize; struct { const char *testarray; int length; long repeatcount; int extrabits; int numberExtrabits; const char *resultarray; } tests[TESTCOUNT]; const char *randomtest; const char *randomresults[RANDOMCOUNT]; } hashes[HASHCOUNT] = { { "SHA1", SHA1, SHA1HashSize, { /* 1 */ { TEST1, length(TEST1), 1, 0, 0, "A9993E364706816ABA3E25717850C26C9CD0D89D" }, /* 2 */ { TEST2_1, length(TEST2_1), 1, 0, 0, "84983E441C3BD26EBAAE4AA1F95129E5E54670F1" }, /* 3 */ { TEST3, length(TEST3), 1000000, 0, 0, "34AA973CD4C4DAA4F61EEB2BDBAD27316534016F" }, /* 4 */ { TEST4, length(TEST4), 10, 0, 0, "DEA356A2CDDD90C7A7ECEDC5EBB563934F460452" }, /* 5 */ { "", 0, 0, 0x98, 5, "29826B003B906E660EFF4027CE98AF3531AC75BA" }, /* 6 */ { "\x5e", 1, 1, 0, 0, "5E6F80A34A9798CAFC6A5DB96CC57BA4C4DB59C2" }, /* 7 */ { TEST7_1, length(TEST7_1), 1, 0x80, 3, Eastlake & Hansen Informational PAGE 96

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "6239781E03729919C01955B3FFA8ACB60B988340" }, /* 8 */ { TEST8_1, length(TEST8_1), 1, 0, 0, "82ABFF6605DBE1C17DEF12A394FA22A82B544A35" }, /* 9 */ { TEST9_1, length(TEST9_1), 1, 0xE0, 3, "8C5B2A5DDAE5A97FC7F9D85661C672ADBF7933D4" }, /* 10 */ { TEST10_1, length(TEST10_1), 1, 0, 0, "CB0082C8F197D260991BA6A460E76E202BAD27B3" } }, SHA1_SEED, { "E216836819477C7F78E0D843FE4FF1B6D6C14CD4", "A2DBC7A5B1C6C0A8BCB7AAA41252A6A7D0690DBC", "DB1F9050BB863DFEF4CE37186044E2EEB17EE013", "127FDEDF43D372A51D5747C48FBFFE38EF6CDF7B" } }, { "SHA224", SHA224, SHA224HashSize, { /* 1 */ { TEST1, length(TEST1), 1, 0, 0, "23097D223405D8228642A477BDA255B32AADBCE4BDA0B3F7E36C9DA7" }, /* 2 */ { TEST2_1, length(TEST2_1), 1, 0, 0, "75388B16512776CC5DBA5DA1FD890150B0C6455CB4F58B1952522525" }, /* 3 */ { TEST3, length(TEST3), 1000000, 0, 0, "20794655980C91D8BBB4C1EA97618A4BF03F42581948B2EE4EE7AD67" }, /* 4 */ { TEST4, length(TEST4), 10, 0, 0, "567F69F168CD7844E65259CE658FE7AADFA25216E68ECA0EB7AB8262" }, /* 5 */ { "", 0, 0, 0x68, 5, "E3B048552C3C387BCAB37F6EB06BB79B96A4AEE5FF27F51531A9551C" }, /* 6 */ { "\x07", 1, 1, 0, 0, "00ECD5F138422B8AD74C9799FD826C531BAD2FCABC7450BEE2AA8C2A" }, /* 7 */ { TEST7_224, length(TEST7_224), 1, 0xA0, 3, "1B01DB6CB4A9E43DED1516BEB3DB0B87B6D1EA43187462C608137150" }, /* 8 */ { TEST8_224, length(TEST8_224), 1, 0, 0, "DF90D78AA78821C99B40BA4C966921ACCD8FFB1E98AC388E56191DB1" }, /* 9 */ { TEST9_224, length(TEST9_224), 1, 0xE0, 3, "54BEA6EAB8195A2EB0A7906A4B4A876666300EEFBD1F3B8474F9CD57" }, /* 10 */ { TEST10_224, length(TEST10_224), 1, 0, 0, "0B31894EC8937AD9B91BDFBCBA294D9ADEFAA18E09305E9F20D5C3A4" } }, SHA224_SEED, { "100966A5B4FDE0B42E2A6C5953D4D7F41BA7CF79FD" "2DF431416734BE", "1DCA396B0C417715DEFAAE9641E10A2E99D55A" "BCB8A00061EB3BE8BD", "1864E627BDB2319973CD5ED7D68DA71D8B" "F0F983D8D9AB32C34ADB34", "A2406481FC1BCAF24DD08E6752E844" "709563FB916227FED598EB621F" } }, { "SHA256", SHA256, SHA256HashSize, { /* 1 */ { TEST1, length(TEST1), 1, 0, 0, "BA7816BF8F01CFEA4141" "40DE5DAE2223B00361A396177A9CB410FF61F20015AD" }, /* 2 */ { TEST2_1, length(TEST2_1), 1, 0, 0, "248D6A61D20638B8" "E5C026930C3E6039A33CE45964FF2167F6ECEDD419DB06C1" }, /* 3 */ { TEST3, length(TEST3), 1000000, 0, 0, "CDC76E5C9914FB92" "81A1C7E284D73E67F1809A48A497200E046D39CCC7112CD0" }, Eastlake & Hansen Informational PAGE 97

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* 4 */ { TEST4, length(TEST4), 10, 0, 0, "594847328451BDFA" "85056225462CC1D867D877FB388DF0CE35F25AB5562BFBB5" }, /* 5 */ { "", 0, 0, 0x68, 5, "D6D3E02A31A84A8CAA9718ED6C2057BE" "09DB45E7823EB5079CE7A573A3760F95" }, /* 6 */ { "\x19", 1, 1, 0, 0, "68AA2E2EE5DFF96E3355E6C7EE373E3D" "6A4E17F75F9518D843709C0C9BC3E3D4" }, /* 7 */ { TEST7_256, length(TEST7_256), 1, 0x60, 3, "77EC1DC8" "9C821FF2A1279089FA091B35B8CD960BCAF7DE01C6A7680756BEB972" }, /* 8 */ { TEST8_256, length(TEST8_256), 1, 0, 0, "175EE69B02BA" "9B58E2B0A5FD13819CEA573F3940A94F825128CF4209BEABB4E8" }, /* 9 */ { TEST9_256, length(TEST9_256), 1, 0xA0, 3, "3E9AD646" "8BBBAD2AC3C2CDC292E018BA5FD70B960CF1679777FCE708FDB066E9" }, /* 10 */ { TEST10_256, length(TEST10_256), 1, 0, 0, "97DBCA7D" "F46D62C8A422C941DD7E835B8AD3361763F7E9B2D95F4F0DA6E1CCBC" }, }, SHA256_SEED, { "83D28614D49C3ADC1D6FC05DB5F48037C056F8D2A4CE44" "EC6457DEA5DD797CD1", "99DBE3127EF2E93DD9322D6A07909EB33B6399" "5E529B3F954B8581621BB74D39", "8D4BE295BB64661CA3C7EFD129A2F7" "25B33072DBDDE32385B9A87B9AF88EA76F", "40AF5D3F9716B040DF9408" "E31536B70FF906EC51B00447CA97D7DD97C12411F4" } }, { "SHA384", SHA384, SHA384HashSize, { /* 1 */ { TEST1, length(TEST1), 1, 0, 0, "CB00753F45A35E8BB5A03D699AC65007272C32AB0EDED163" "1A8B605A43FF5BED8086072BA1E7CC2358BAECA134C825A7" }, /* 2 */ { TEST2_2, length(TEST2_2), 1, 0, 0, "09330C33F71147E83D192FC782CD1B4753111B173B3B05D2" "2FA08086E3B0F712FCC7C71A557E2DB966C3E9FA91746039" }, /* 3 */ { TEST3, length(TEST3), 1000000, 0, 0, "9D0E1809716474CB086E834E310A4A1CED149E9C00F24852" "7972CEC5704C2A5B07B8B3DC38ECC4EBAE97DDD87F3D8985" }, /* 4 */ { TEST4, length(TEST4), 10, 0, 0, "2FC64A4F500DDB6828F6A3430B8DD72A368EB7F3A8322A70" "BC84275B9C0B3AB00D27A5CC3C2D224AA6B61A0D79FB4596" }, /* 5 */ { "", 0, 0, 0x10, 5, "8D17BE79E32B6718E07D8A603EB84BA0478F7FCFD1BB9399" "5F7D1149E09143AC1FFCFC56820E469F3878D957A15A3FE4" }, /* 6 */ { "\xb9", 1, 1, 0, 0, "BC8089A19007C0B14195F4ECC74094FEC64F01F90929282C" "2FB392881578208AD466828B1C6C283D2722CF0AD1AB6938" }, /* 7 */ { TEST7_384, length(TEST7_384), 1, 0xA0, 3, "D8C43B38E12E7C42A7C9B810299FD6A770BEF30920F17532" "A898DE62C7A07E4293449C0B5FA70109F0783211CFC4BCE3" }, /* 8 */ { TEST8_384, length(TEST8_384), 1, 0, 0, "C9A68443A005812256B8EC76B00516F0DBB74FAB26D66591" "3F194B6FFB0E91EA9967566B58109CBC675CC208E4C823F7" }, /* 9 */ { TEST9_384, length(TEST9_384), 1, 0xE0, 3, "5860E8DE91C21578BB4174D227898A98E0B45C4C760F0095" Eastlake & Hansen Informational PAGE 98

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "49495614DAEDC0775D92D11D9F8CE9B064EEAC8DAFC3A297" }, /* 10 */ { TEST10_384, length(TEST10_384), 1, 0, 0, "4F440DB1E6EDD2899FA335F09515AA025EE177A79F4B4AAF" "38E42B5C4DE660F5DE8FB2A5B2FBD2A3CBFFD20CFF1288C0" } }, SHA384_SEED, { "CE44D7D63AE0C91482998CF662A51EC80BF6FC68661A3C" "57F87566112BD635A743EA904DEB7D7A42AC808CABE697F38F", "F9C6D2" "61881FEE41ACD39E67AA8D0BAD507C7363EB67E2B81F45759F9C0FD7B503" "DF1A0B9E80BDE7BC333D75B804197D", "D96512D8C9F4A7A4967A366C01" "C6FD97384225B58343A88264847C18E4EF8AB7AEE4765FFBC3E30BD485D3" "638A01418F", "0CA76BD0813AF1509E170907A96005938BC985628290B2" "5FEF73CF6FAD68DDBA0AC8920C94E0541607B0915A7B4457F7" } }, { "SHA512", SHA512, SHA512HashSize, { /* 1 */ { TEST1, length(TEST1), 1, 0, 0, "DDAF35A193617ABACC417349AE20413112E6FA4E89A97EA2" "0A9EEEE64B55D39A2192992A274FC1A836BA3C23A3FEEBBD" "454D4423643CE80E2A9AC94FA54CA49F" }, /* 2 */ { TEST2_2, length(TEST2_2), 1, 0, 0, "8E959B75DAE313DA8CF4F72814FC143F8F7779C6EB9F7FA1" "7299AEADB6889018501D289E4900F7E4331B99DEC4B5433A" "C7D329EEB6DD26545E96E55B874BE909" }, /* 3 */ { TEST3, length(TEST3), 1000000, 0, 0, "E718483D0CE769644E2E42C7BC15B4638E1F98B13B204428" "5632A803AFA973EBDE0FF244877EA60A4CB0432CE577C31B" "EB009C5C2C49AA2E4EADB217AD8CC09B" }, /* 4 */ { TEST4, length(TEST4), 10, 0, 0, "89D05BA632C699C31231DED4FFC127D5A894DAD412C0E024" "DB872D1ABD2BA8141A0F85072A9BE1E2AA04CF33C765CB51" "0813A39CD5A84C4ACAA64D3F3FB7BAE9" }, /* 5 */ { "", 0, 0, 0xB0, 5, "D4EE29A9E90985446B913CF1D1376C836F4BE2C1CF3CADA0" "720A6BF4857D886A7ECB3C4E4C0FA8C7F95214E41DC1B0D2" "1B22A84CC03BF8CE4845F34DD5BDBAD4" }, /* 6 */ { "\xD0", 1, 1, 0, 0, "9992202938E882E73E20F6B69E68A0A7149090423D93C81B" "AB3F21678D4ACEEEE50E4E8CAFADA4C85A54EA8306826C4A" "D6E74CECE9631BFA8A549B4AB3FBBA15" }, /* 7 */ { TEST7_512, length(TEST7_512), 1, 0x80, 3, "ED8DC78E8B01B69750053DBB7A0A9EDA0FB9E9D292B1ED71" "5E80A7FE290A4E16664FD913E85854400C5AF05E6DAD316B" "7359B43E64F8BEC3C1F237119986BBB6" }, /* 8 */ { TEST8_512, length(TEST8_512), 1, 0, 0, "CB0B67A4B8712CD73C9AABC0B199E9269B20844AFB75ACBD" "D1C153C9828924C3DDEDAAFE669C5FDD0BC66F630F677398" "8213EB1B16F517AD0DE4B2F0C95C90F8" }, /* 9 */ { TEST9_512, length(TEST9_512), 1, 0x80, 3, "32BA76FC30EAA0208AEB50FFB5AF1864FDBF17902A4DC0A6" Eastlake & Hansen Informational PAGE 99

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "82C61FCEA6D92B783267B21080301837F59DE79C6B337DB2" "526F8A0A510E5E53CAFED4355FE7C2F1" }, /* 10 */ { TEST10_512, length(TEST10_512), 1, 0, 0, "C665BEFB36DA189D78822D10528CBF3B12B3EEF726039909" "C1A16A270D48719377966B957A878E720584779A62825C18" "DA26415E49A7176A894E7510FD1451F5" } }, SHA512_SEED, {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} } }; /* Test arrays for HMAC. */ struct hmachash { const char *keyarray[5]; int keylength[5]; const char *dataarray[5]; int datalength[5]; const char *resultarray[5]; int resultlength[5]; } hmachashes[HMACTESTCOUNT] = { { /* 1 */ { "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" "\x0b\x0b\x0b\x0b\x0b" }, { 20 }, { "\x48\x69\x20\x54\x68\x65\x72\x65" /* "Hi There" */ }, { 8 }, { /* HMAC-SHA-1 */ "B617318655057264E28BC0B6FB378C8EF146BE00", /* HMAC-SHA-224 */ "896FB1128ABBDF196832107CD49DF33F47B4B1169912BA4F53684B22", /* HMAC-SHA-256 */ "B0344C61D8DB38535CA8AFCEAF0BF12B881DC200C9833DA726E9376C2E32" "CFF7", /* HMAC-SHA-384 */ "AFD03944D84895626B0825F4AB46907F15F9DADBE4101EC682AA034C7CEB" "C59CFAEA9EA9076EDE7F4AF152E8B2FA9CB6", /* HMAC-SHA-512 */ "87AA7CDEA5EF619D4FF0B4241A1D6CB02379F4E2CE4EC2787AD0B30545E1" "7CDEDAA833B7D6B8A702038B274EAEA3F4E4BE9D914EEB61F1702E696C20" "3A126854" Eastlake & Hansen Informational PAGE 100

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 }, { SHA1HashSize, SHA224HashSize, SHA256HashSize, SHA384HashSize, SHA512HashSize } }, { /* 2 */ { "\x4a\x65\x66\x65" /* "Jefe" */ }, { 4 }, { "\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74" "\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f" /* "what do ya want for nothing?" */ }, { 28 }, { /* HMAC-SHA-1 */ "EFFCDF6AE5EB2FA2D27416D5F184DF9C259A7C79", /* HMAC-SHA-224 */ "A30E01098BC6DBBF45690F3A7E9E6D0F8BBEA2A39E6148008FD05E44", /* HMAC-SHA-256 */ "5BDCC146BF60754E6A042426089575C75A003F089D2739839DEC58B964EC" "3843", /* HMAC-SHA-384 */ "AF45D2E376484031617F78D2B58A6B1B9C7EF464F5A01B47E42EC3736322" "445E8E2240CA5E69E2C78B3239ECFAB21649", /* HMAC-SHA-512 */ "164B7A7BFCF819E2E395FBE73B56E0A387BD64222E831FD610270CD7EA25" "05549758BF75C05A994A6D034F65F8F0E6FDCAEAB1A34D4A6B4B636E070A" "38BCE737" }, { SHA1HashSize, SHA224HashSize, SHA256HashSize, SHA384HashSize, SHA512HashSize } }, { /* 3 */ { "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa" }, { 20 }, { "\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd" "\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd" "\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd" "\xdd\xdd\xdd\xdd\xdd" }, { 50 }, { /* HMAC-SHA-1 */ "125D7342B9AC11CD91A39AF48AA17B4F63F175D3", /* HMAC-SHA-224 */ "7FB3CB3588C6C1F6FFA9694D7D6AD2649365B0C1F65D69D1EC8333EA", /* HMAC-SHA-256 */ "773EA91E36800E46854DB8EBD09181A72959098B3EF8C122D9635514CED5" "65FE", /* HMAC-SHA-384 */ "88062608D3E6AD8A0AA2ACE014C8A86F0AA635D947AC9FEBE83EF4E55966" "144B2A5AB39DC13814B94E3AB6E101A34F27", /* HMAC-SHA-512 */ Eastlake & Hansen Informational PAGE 101

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "FA73B0089D56A284EFB0F0756C890BE9B1B5DBDD8EE81A3655F83E33B227" "9D39BF3E848279A722C806B485A47E67C807B946A337BEE8942674278859" "E13292FB" }, { SHA1HashSize, SHA224HashSize, SHA256HashSize, SHA384HashSize, SHA512HashSize } }, { /* 4 */ { "\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f" "\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19" }, { 25 }, { "\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd" "\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd" "\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd" "\xcd\xcd\xcd\xcd\xcd" }, { 50 }, { /* HMAC-SHA-1 */ "4C9007F4026250C6BC8414F9BF50C86C2D7235DA", /* HMAC-SHA-224 */ "6C11506874013CAC6A2ABC1BB382627CEC6A90D86EFC012DE7AFEC5A", /* HMAC-SHA-256 */ "82558A389A443C0EA4CC819899F2083A85F0FAA3E578F8077A2E3FF46729" "665B", /* HMAC-SHA-384 */ "3E8A69B7783C25851933AB6290AF6CA77A9981480850009CC5577C6E1F57" "3B4E6801DD23C4A7D679CCF8A386C674CFFB", /* HMAC-SHA-512 */ "B0BA465637458C6990E5A8C5F61D4AF7E576D97FF94B872DE76F8050361E" "E3DBA91CA5C11AA25EB4D679275CC5788063A5F19741120C4F2DE2ADEBEB" "10A298DD" }, { SHA1HashSize, SHA224HashSize, SHA256HashSize, SHA384HashSize, SHA512HashSize } }, { /* 5 */ { "\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c" "\x0c\x0c\x0c\x0c\x0c" }, { 20 }, { "Test With Truncation" }, { 20 }, { /* HMAC-SHA-1 */ "4C1A03424B55E07FE7F27BE1", /* HMAC-SHA-224 */ "0E2AEA68A90C8D37C988BCDB9FCA6FA8", /* HMAC-SHA-256 */ "A3B6167473100EE06E0C796C2955552B", /* HMAC-SHA-384 */ "3ABF34C3503B2A23A46EFC619BAEF897", /* HMAC-SHA-512 */ "415FAD6271580A531D4179BC891D87A6" Eastlake & Hansen Informational PAGE 102

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 }, { 12, 16, 16, 16, 16 } }, { /* 6 */ { "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" }, { 80, 131 }, { "Test Using Larger Than Block-Size Key - Hash Key First" }, { 54 }, { /* HMAC-SHA-1 */ "AA4AE5E15272D00E95705637CE8A3B55ED402112", /* HMAC-SHA-224 */ "95E9A0DB962095ADAEBE9B2D6F0DBCE2D499F112F2D2B7273FA6870E", /* HMAC-SHA-256 */ "60E431591EE0B67F0D8A26AACBF5B77F8E0BC6213728C5140546040F0EE3" "7F54", /* HMAC-SHA-384 */ "4ECE084485813E9088D2C63A041BC5B44F9EF1012A2B588F3CD11F05033A" "C4C60C2EF6AB4030FE8296248DF163F44952", /* HMAC-SHA-512 */ "80B24263C7C1A3EBB71493C1DD7BE8B49B46D1F41B4AEEC1121B013783F8" "F3526B56D037E05F2598BD0FD2215D6A1E5295E64F73F63F0AEC8B915A98" "5D786598" }, { SHA1HashSize, SHA224HashSize, SHA256HashSize, SHA384HashSize, SHA512HashSize } }, { /* 7 */ { "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" }, { 80, 131 }, { "Test Using Larger Than Block-Size Key and " "Larger Than One Block-Size Data", "\x54\x68\x69\x73\x20\x69\x73\x20\x61\x20\x74\x65\x73\x74\x20" "\x75\x73\x69\x6e\x67\x20\x61\x20\x6c\x61\x72\x67\x65\x72\x20" "\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73\x69\x7a\x65" Eastlake & Hansen Informational PAGE 103

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "\x20\x6b\x65\x79\x20\x61\x6e\x64\x20\x61\x20\x6c\x61\x72\x67" "\x65\x72\x20\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73" "\x69\x7a\x65\x20\x64\x61\x74\x61\x2e\x20\x54\x68\x65\x20\x6b" "\x65\x79\x20\x6e\x65\x65\x64\x73\x20\x74\x6f\x20\x62\x65\x20" "\x68\x61\x73\x68\x65\x64\x20\x62\x65\x66\x6f\x72\x65\x20\x62" "\x65\x69\x6e\x67\x20\x75\x73\x65\x64\x20\x62\x79\x20\x74\x68" "\x65\x20\x48\x4d\x41\x43\x20\x61\x6c\x67\x6f\x72\x69\x74\x68" "\x6d\x2e" /* "This is a test using a larger than block-size key and a " "larger than block-size data. The key needs to be hashed " "before being used by the HMAC algorithm." */ }, { 73, 152 }, { /* HMAC-SHA-1 */ "E8E99D0F45237D786D6BBAA7965C7808BBFF1A91", /* HMAC-SHA-224 */ "3A854166AC5D9F023F54D517D0B39DBD946770DB9C2B95C9F6F565D1", /* HMAC-SHA-256 */ "9B09FFA71B942FCB27635FBCD5B0E944BFDC63644F0713938A7F51535C3A" "35E2", /* HMAC-SHA-384 */ "6617178E941F020D351E2F254E8FD32C602420FEB0B8FB9ADCCEBB82461E" "99C5A678CC31E799176D3860E6110C46523E", /* HMAC-SHA-512 */ "E37B6A775DC87DBAA4DFA9F96E5E3FFDDEBD71F8867289865DF5A32D20CD" "C944B6022CAC3C4982B10D5EEB55C3E4DE15134676FB6DE0446065C97440" "FA8C6A58" }, { SHA1HashSize, SHA224HashSize, SHA256HashSize, SHA384HashSize, SHA512HashSize } } }; /* Test arrays for HKDF. */ struct hkdfhash { SHAversion whichSha; int ikmlength; const char *ikmarray; int saltlength; const char *saltarray; int infolength; const char *infoarray; int prklength; const char *prkarray; int okmlength; const char *okmarray; } hkdfhashes[HKDFTESTCOUNT] = { { /* RFC 5869 A.1. Test Case 1 */ SHA256, 22, "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" Eastlake & Hansen Informational PAGE 104

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b", 13, "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c", 10, "\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9", 32, "077709362C2E32DF0DDC3F0DC47BBA6390B6C73BB50F9C3122EC844A" "D7C2B3E5", 42, "3CB25F25FAACD57A90434F64D0362F2A2D2D0A90CF1A5A4C5DB02D56" "ECC4C5BF34007208D5B887185865" }, { /* RFC 5869 A.2. Test Case 2 */ SHA256, 80, "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d" "\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b" "\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29" "\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37" "\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45" "\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f", 80, "\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6a\x6b\x6c\x6d" "\x6e\x6f\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7a\x7b" "\x7c\x7d\x7e\x7f\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89" "\x8a\x8b\x8c\x8d\x8e\x8f\x90\x91\x92\x93\x94\x95\x96\x97" "\x98\x99\x9a\x9b\x9c\x9d\x9e\x9f\xa0\xa1\xa2\xa3\xa4\xa5" "\xa6\xa7\xa8\xa9\xaa\xab\xac\xad\xae\xaf", 80, "\xb0\xb1\xb2\xb3\xb4\xb5\xb6\xb7\xb8\xb9\xba\xbb\xbc\xbd" "\xbe\xbf\xc0\xc1\xc2\xc3\xc4\xc5\xc6\xc7\xc8\xc9\xca\xcb" "\xcc\xcd\xce\xcf\xd0\xd1\xd2\xd3\xd4\xd5\xd6\xd7\xd8\xd9" "\xda\xdb\xdc\xdd\xde\xdf\xe0\xe1\xe2\xe3\xe4\xe5\xe6\xe7" "\xe8\xe9\xea\xeb\xec\xed\xee\xef\xf0\xf1\xf2\xf3\xf4\xf5" "\xf6\xf7\xf8\xf9\xfa\xfb\xfc\xfd\xfe\xff", 32, "06A6B88C5853361A06104C9CEB35B45C" "EF760014904671014A193F40C15FC244", 82, "B11E398DC80327A1C8E7F78C596A4934" "4F012EDA2D4EFAD8A050CC4C19AFA97C" "59045A99CAC7827271CB41C65E590E09" "DA3275600C2F09B8367793A9ACA3DB71" "CC30C58179EC3E87C14C01D5C1F3434F" "1D87" }, { /* RFC 5869 A.3. Test Case 3 */ SHA256, 22, "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b", 0, "", 0, "", 32, "19EF24A32C717B167F33A91D6F648BDF" "96596776AFDB6377AC434C1C293CCB04", 42, "8DA4E775A563C18F715F802A063C5A31" "B8A11F5C5EE1879EC3454E5F3C738D2D" "9D201395FAA4B61A96C8" Eastlake & Hansen Informational PAGE 105

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 }, { /* RFC 5869 A.4. Test Case 4 */ SHA1, 11, "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b", 13, "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c", 10, "\xf0\xf1\xf2\xf3\xf4\xf5\xf6\xf7\xf8\xf9", 20, "9B6C18C432A7BF8F0E71C8EB88F4B30BAA2BA243", 42, "085A01EA1B10F36933068B56EFA5AD81" "A4F14B822F5B091568A9CDD4F155FDA2" "C22E422478D305F3F896" }, { /* RFC 5869 A.5. Test Case 5 */ SHA1, 80, "\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d" "\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1a\x1b" "\x1c\x1d\x1e\x1f\x20\x21\x22\x23\x24\x25\x26\x27\x28\x29" "\x2a\x2b\x2c\x2d\x2e\x2f\x30\x31\x32\x33\x34\x35\x36\x37" "\x38\x39\x3a\x3b\x3c\x3d\x3e\x3f\x40\x41\x42\x43\x44\x45" "\x46\x47\x48\x49\x4a\x4b\x4c\x4d\x4e\x4f", 80, "\x60\x61\x62\x63\x64\x65\x66\x67\x68\x69\x6A\x6B\x6C\x6D" "\x6E\x6F\x70\x71\x72\x73\x74\x75\x76\x77\x78\x79\x7A\x7B" "\x7C\x7D\x7E\x7F\x80\x81\x82\x83\x84\x85\x86\x87\x88\x89" "\x8A\x8B\x8C\x8D\x8E\x8F\x90\x91\x92\x93\x94\x95\x96\x97" "\x98\x99\x9A\x9B\x9C\x9D\x9E\x9F\xA0\xA1\xA2\xA3\xA4\xA5" "\xA6\xA7\xA8\xA9\xAA\xAB\xAC\xAD\xAE\xAF", 80, "\xB0\xB1\xB2\xB3\xB4\xB5\xB6\xB7\xB8\xB9\xBA\xBB\xBC\xBD" "\xBE\xBF\xC0\xC1\xC2\xC3\xC4\xC5\xC6\xC7\xC8\xC9\xCA\xCB" "\xCC\xCD\xCE\xCF\xD0\xD1\xD2\xD3\xD4\xD5\xD6\xD7\xD8\xD9" "\xDA\xDB\xDC\xDD\xDE\xDF\xE0\xE1\xE2\xE3\xE4\xE5\xE6\xE7" "\xE8\xE9\xEA\xEB\xEC\xED\xEE\xEF\xF0\xF1\xF2\xF3\xF4\xF5" "\xF6\xF7\xF8\xF9\xFA\xFB\xFC\xFD\xFE\xFF", 20, "8ADAE09A2A307059478D309B26C4115A224CFAF6", 82, "0BD770A74D1160F7C9F12CD5912A06EB" "FF6ADCAE899D92191FE4305673BA2FFE" "8FA3F1A4E5AD79F3F334B3B202B2173C" "486EA37CE3D397ED034C7F9DFEB15C5E" "927336D0441F4C4300E2CFF0D0900B52" "D3B4" }, { /* RFC 5869 A.6. Test Case 6 */ SHA1, 22, "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b" "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b", 0, "", 0, "", 20, "DA8C8A73C7FA77288EC6F5E7C297786AA0D32D01", 42, "0AC1AF7002B3D761D1E55298DA9D0506" "B9AE52057220A306E07B6B87E8DF21D0" Eastlake & Hansen Informational PAGE 106

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "EA00033DE03984D34918" }, { /* RFC 5869 A.7. Test Case 7. */ SHA1, 22, "\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c" "\x0c\x0c\x0c\x0c\x0c\x0c\x0c\x0c", 0, 0, 0, "", 20, "2ADCCADA18779E7C2077AD2EB19D3F3E731385DD", 42, "2C91117204D745F3500D636A62F64F0A" "B3BAE548AA53D423B0D1F27EBBA6F5E5" "673A081D70CCE7ACFC48" } }; /* * Check the hash value against the expected string, expressed in hex */ static const char hexdigits[ ] = "0123456789ABCDEF"; int checkmatch(const unsigned char *hashvalue, const char *hexstr, int hashsize) { int i; for (i = 0; i < hashsize; ++i) { if (*hexstr++ != hexdigits[(hashvalue[i] >> 4) & 0xF]) return 0; if (*hexstr++ != hexdigits[hashvalue[i] & 0xF]) return 0; } return 1; } /* * Print the string, converting non-printable characters to "." */ void printstr(const char *str, int len) { for ( ; len-- > 0; str++) putchar(isprint((unsigned char)*str) ? *str : '.'); } /* * Print the string, converting all characters to hex "## ". */ void printxstr(const char *str, int len) { char *sep = ""; for ( ; len-- > 0; str++) { printf("%s%c%c", sep, hexdigits[(*str >> 4) & 0xF], Eastlake & Hansen Informational PAGE 107

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 hexdigits[*str & 0xF]); sep = " "; } } /* * Print a usage message. */ void usage(const char *argv0) { fprintf(stderr, "Usage:\n" "Common options: [-h hash] [-w|-x|-6] [-H]\n" "Hash a string:\n" "\t%s [-S expectedresult] -s hashstr [-k key] " "[-i info -L okm-len]\n" "Hash a file:\n" "\t%s [-S expectedresult] -f file [-k key] " "[-i info -L okm-len]\n" "Hash a file, ignoring whitespace:\n" "\t%s [-S expectedresult] -F file [-k key] " "[-i info -L okm-len]\n" "Additional bits to add in: [-B bitcount -b bits]\n" "(If -k,-i&-L are used, run HKDF-SHA###.\n" " If -k is used, but not -i&-L, run HMAC-SHA###.\n" " Otherwise, run SHA###.)\n" "Standard tests:\n" "\t%s [-m | -d] [-l loopcount] [-t test#] [-e]\n" "\t\t[-r randomseed] [-R randomloop-count] " "[-p] [-P|-X]\n" "-h\thash to test: " "0|SHA1, 1|SHA224, 2|SHA256, 3|SHA384, 4|SHA512\n" "-m\tperform hmac standard tests\n" "-k\tkey for hmac test\n" "-d\tperform hkdf standard tests\n" "-t\ttest case to run, 1-10\n" "-l\thow many times to run the test\n" "-e\ttest error returns\n" "-p\tdo not print results\n" "-P\tdo not print PASSED/FAILED\n" "-X\tprint FAILED, but not PASSED\n" "-r\tseed for random test\n" "-R\thow many times to run random test\n" "-s\tstring to hash\n" "-S\texpected result of hashed string, in hex\n" "-w\toutput hash in raw format\n" "-x\toutput hash in hex format\n" "-6\toutput hash in base64 format\n" Eastlake & Hansen Informational PAGE 108

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "-B\t# extra bits to add in after string or file input\n" "-b\textra bits to add (high order bits of #, 0# or 0x#)\n" "-H\tinput hashstr or randomseed is in hex\n" , argv0, argv0, argv0, argv0); exit(1); } /* * Print the results and PASS/FAIL. */ void printResult(uint8_t *Message_Digest, int hashsize, const char *hashname, const char *testtype, const char *testname, const char *resultarray, int printResults, int printPassFail) { int i, k; if (printResults == PRINTTEXT) { printf("\nhashsize=%d\n", hashsize); putchar('\t'); for (i = 0; i < hashsize; ++i) { putchar(hexdigits[(Message_Digest[i] >> 4) & 0xF]); putchar(hexdigits[Message_Digest[i] & 0xF]); putchar(' '); } putchar('\n'); } else if (printResults == PRINTRAW) { fwrite(Message_Digest, 1, hashsize, stdout); } else if (printResults == PRINTHEX) { for (i = 0; i < hashsize; ++i) { putchar(hexdigits[(Message_Digest[i] >> 4) & 0xF]); putchar(hexdigits[Message_Digest[i] & 0xF]); } putchar('\n'); } else if (printResults == PRINTBASE64) { unsigned char b; char *sm = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz" "0123456789+/"; for (i = 0; i < hashsize; i += 3) { putchar(sm[Message_Digest[i] >> 2]); b = (Message_Digest[i] & 0x03) << 4; if (i+1 < hashsize) b |= Message_Digest[i+1] >> 4; putchar(sm[b]); if (i+1 < hashsize) { b = (Message_Digest[i+1] & 0x0f) << 2; if (i+2 < hashsize) b |= Message_Digest[i+2] >> 6; putchar(sm[b]); } else putchar('='); if (i+2 < hashsize) putchar(sm[Message_Digest[i+2] & 0x3f]); else putchar('='); Eastlake & Hansen Informational PAGE 109

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 } putchar('\n'); } if (printResults && resultarray) { printf(" Should match:\n\t"); for (i = 0, k = 0; i < hashsize; i++, k += 2) { putchar(resultarray[k]); putchar(resultarray[k+1]); putchar(' '); } putchar('\n'); } if (printPassFail && resultarray) { int ret = checkmatch(Message_Digest, resultarray, hashsize); if ((printPassFail == PRINTPASSFAIL) || !ret) printf("%s %s %s: %s\n", hashname, testtype, testname, ret ? "PASSED" : "FAILED"); } } /* * Exercise a hash series of functions. The input is the testarray, * repeated repeatcount times, followed by the extrabits. If the * result is known, it is in resultarray in uppercase hex. */ int hash(int testno, int loopno, int hashno, const char *testarray, int length, long repeatcount, int numberExtrabits, int extrabits, const unsigned char *keyarray, int keylen, const unsigned char *info, int infolen, int okmlen, const char *resultarray, int hashsize, int printResults, int printPassFail) { USHAContext sha; HMACContext hmac; HKDFContext hkdf; int err, i; uint8_t Message_Digest_Buf[USHAMaxHashSize]; uint8_t *Message_Digest = Message_Digest_Buf; char buf[20]; if (printResults == PRINTTEXT) { printf("\nTest %d: Iteration %d, Repeat %ld\n\t'", testno+1, loopno, repeatcount); printstr(testarray, length); printf("'\n\t'"); printxstr(testarray, length); Eastlake & Hansen Informational PAGE 110

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 printf("'\n"); printf(" Length=%d bytes (%d bits), ", length, length * 8); printf("ExtraBits %d: %2.2x\n", numberExtrabits, extrabits); } if (info) Message_Digest = malloc(okmlen); memset(&sha, '\343', sizeof(sha)); /* force bad data into struct */ memset(&hmac, '\343', sizeof(hmac)); memset(&hkdf, '\343', sizeof(hkdf)); err = info ? hkdfReset(&hkdf, hashes[hashno].whichSha, keyarray, keylen) : keyarray ? hmacReset(&hmac, hashes[hashno].whichSha, keyarray, keylen) : USHAReset(&sha, hashes[hashno].whichSha); if (err != shaSuccess) { fprintf(stderr, "hash(): %sReset Error %d.\n", info ? "hkdf" : keyarray ? "hmac" : "sha", err); return err; } for (i = 0; i < repeatcount; ++i) { err = info ? hkdfInput(&hkdf, (const uint8_t *)testarray, length) : keyarray ? hmacInput(&hmac, (const uint8_t *) testarray, length) : USHAInput(&sha, (const uint8_t *) testarray, length); if (err != shaSuccess) { fprintf(stderr, "hash(): %sInput Error %d.\n", info ? "hkdf" : keyarray ? "hmac" : "sha", err); return err; } } if (numberExtrabits > 0) { err = info ? hkdfFinalBits(&hkdf, extrabits, numberExtrabits) : keyarray ? hmacFinalBits(&hmac, (uint8_t) extrabits, numberExtrabits) : USHAFinalBits(&sha, (uint8_t) extrabits, numberExtrabits); if (err != shaSuccess) { fprintf(stderr, "hash(): %sFinalBits Error %d.\n", info ? "hkdf" : keyarray ? "hmac" : "sha", err); return err; } } err = info ? hkdfResult(&hkdf, 0, info, infolen, Eastlake & Hansen Informational PAGE 111

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Message_Digest, okmlen) : keyarray ? hmacResult(&hmac, Message_Digest) : USHAResult(&sha, Message_Digest); if (err != shaSuccess) { fprintf(stderr, "hash(): %s Result Error %d, could not compute " "message digest.\n", info ? "hkdf" : keyarray ? "hmac" : "sha", err); return err; } sprintf(buf, "%d", testno+1); printResult(Message_Digest, info ? okmlen : hashsize, hashes[hashno].name, info ? "hkdf standard test" : keyarray ? "hmac standard test" : "sha standard test", buf, resultarray, printResults, printPassFail); return err; } /* * Exercise an HKDF series. The input is the testarray, * repeated repeatcount times, followed by the extrabits. If the * result is known, it is in resultarray in uppercase hex. */ int hashHkdf(int testno, int loopno, int hashno, int printResults, int printPassFail) { int err; unsigned char prk[USHAMaxHashSize+1]; uint8_t okm[255 * USHAMaxHashSize+1]; char buf[20]; if (printResults == PRINTTEXT) { printf("\nTest %d: Iteration %d\n\tSALT\t'", testno+1, loopno); printxstr(hkdfhashes[testno].saltarray, hkdfhashes[testno].saltlength); printf("'\n\tIKM\t'"); printxstr(hkdfhashes[testno].ikmarray, hkdfhashes[testno].ikmlength); printf("'\n\tINFO\t'"); printxstr(hkdfhashes[testno].infoarray, hkdfhashes[testno].infolength); printf("'\n"); printf(" L=%d bytes\n", hkdfhashes[testno].okmlength); } /* Run hkdf() against the test vectors */ err = hkdf(hkdfhashes[testno].whichSha, Eastlake & Hansen Informational PAGE 112

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 (const uint8_t *) hkdfhashes[testno].saltarray, hkdfhashes[testno].saltlength, (const uint8_t *) hkdfhashes[testno].ikmarray, hkdfhashes[testno].ikmlength, (const uint8_t *) hkdfhashes[testno].infoarray, hkdfhashes[testno].infolength, okm, hkdfhashes[testno].okmlength); if (err != shaSuccess) { fprintf(stderr, "hashHkdf(): hkdf Error %d.\n", err); return err; } sprintf(buf, "hkdf %d", testno+1); printResult(okm, hkdfhashes[testno].okmlength, USHAHashName(hkdfhashes[testno].whichSha), "hkdf standard test", buf, hkdfhashes[testno].okmarray, printResults, printPassFail); /* Now run hkdfExtract() by itself against the test vectors */ /* to verify the intermediate results. */ err = hkdfExtract(hkdfhashes[testno].whichSha, (const uint8_t *) hkdfhashes[testno].saltarray, hkdfhashes[testno].saltlength, (const uint8_t *) hkdfhashes[testno].ikmarray, hkdfhashes[testno].ikmlength, prk); if (err != shaSuccess) { fprintf(stderr, "hashHkdf(): hkdfExtract Error %d.\n", err); return err; } sprintf(buf, "hkdfExtract %d", testno+1); printResult(prk, USHAHashSize(hkdfhashes[testno].whichSha), USHAHashName(hkdfhashes[testno].whichSha), "hkdf standard test", buf, hkdfhashes[testno].prkarray, printResults, printPassFail); /* Now run hkdfExpand() by itself against the test vectors */ /* using the intermediate results from hkdfExtract. */ err = hkdfExpand(hkdfhashes[testno].whichSha, prk, USHAHashSize(hkdfhashes[testno].whichSha), (const uint8_t *)hkdfhashes[testno].infoarray, hkdfhashes[testno].infolength, okm, hkdfhashes[testno].okmlength); if (err != shaSuccess) { fprintf(stderr, "hashHkdf(): hkdfExpand Error %d.\n", err); return err; } sprintf(buf, "hkdfExpand %d", testno+1); printResult(okm, hkdfhashes[testno].okmlength, USHAHashName(hkdfhashes[testno].whichSha), "hkdf standard test", buf, hkdfhashes[testno].okmarray, printResults, printPassFail); return err; Eastlake & Hansen Informational PAGE 113

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 } /* * Exercise a hash series of functions. The input is a filename. * If the result is known, it is in resultarray in uppercase hex. */ int hashfile(int hashno, const char *hashfilename, int bits, int bitcount, int skipSpaces, const unsigned char *keyarray, int keylen, const unsigned char *info, int infolen, int okmlen, const char *resultarray, int hashsize, int printResults, int printPassFail) { USHAContext sha; HMACContext hmac; HKDFContext hkdf; int err, nread, c; unsigned char buf[4096]; uint8_t Message_Digest_Buf[USHAMaxHashSize]; uint8_t *Message_Digest = Message_Digest_Buf; unsigned char cc; FILE *hashfp = (strcmp(hashfilename, "-") == 0) ? stdin : fopen(hashfilename, "r"); if (!hashfp) { fprintf(stderr, "cannot open file '%s'\n", hashfilename); return shaStateError; } if (info) Message_Digest = malloc(okmlen); memset(&sha, '\343', sizeof(sha)); /* force bad data into struct */ memset(&hmac, '\343', sizeof(hmac)); memset(&hkdf, '\343', sizeof(hkdf)); err = info ? hkdfReset(&hkdf, hashes[hashno].whichSha, keyarray, keylen) : keyarray ? hmacReset(&hmac, hashes[hashno].whichSha, keyarray, keylen) : USHAReset(&sha, hashes[hashno].whichSha); if (err != shaSuccess) { fprintf(stderr, "hashfile(): %sReset Error %d.\n", info ? "hkdf" : keyarray ? "hmac" : "sha", err); return err; } if (skipSpaces) while ((c = getc(hashfp)) != EOF) { if (!isspace(c)) { cc = (unsigned char)c; err = info ? hkdfInput(&hkdf, &cc, 1) : Eastlake & Hansen Informational PAGE 114

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 keyarray ? hmacInput(&hmac, &cc, 1) : USHAInput(&sha, &cc, 1); if (err != shaSuccess) { fprintf(stderr, "hashfile(): %sInput Error %d.\n", info ? "hkdf" : keyarray ? "hmac" : "sha", err); if (hashfp != stdin) fclose(hashfp); return err; } } } else while ((nread = fread(buf, 1, sizeof(buf), hashfp)) > 0) { err = info ? hkdfInput(&hkdf, buf, nread) : keyarray ? hmacInput(&hmac, buf, nread) : USHAInput(&sha, buf, nread); if (err != shaSuccess) { fprintf(stderr, "hashfile(): %s Error %d.\n", info ? "hkdf" : keyarray ? "hmacInput" : "shaInput", err); if (hashfp != stdin) fclose(hashfp); return err; } } if (bitcount > 0) err = info ? hkdfFinalBits(&hkdf, bits, bitcount) : keyarray ? hmacFinalBits(&hmac, bits, bitcount) : USHAFinalBits(&sha, bits, bitcount); if (err != shaSuccess) { fprintf(stderr, "hashfile(): %s Error %d.\n", info ? "hkdf" : keyarray ? "hmacFinalBits" : "shaFinalBits", err); if (hashfp != stdin) fclose(hashfp); return err; } err = info ? hkdfResult(&hkdf, 0, info, infolen, Message_Digest, okmlen) : keyarray ? hmacResult(&hmac, Message_Digest) : USHAResult(&sha, Message_Digest); if (err != shaSuccess) { fprintf(stderr, "hashfile(): %s Error %d.\n", info ? "hkdf" : keyarray ? "hmacResult" : "shaResult", err); if (hashfp != stdin) fclose(hashfp); return err; } Eastlake & Hansen Informational PAGE 115

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 printResult(Message_Digest, info ? okmlen : hashsize, hashes[hashno].name, "file", hashfilename, resultarray, printResults, printPassFail); if (hashfp != stdin) fclose(hashfp); if (info) free(Message_Digest); return err; } /* * Exercise a hash series of functions through multiple permutations. * The input is an initial seed. That seed is replicated 3 times. * For 1000 rounds, the previous three results are used as the input. * This result is then checked, and used to seed the next cycle. * If the result is known, it is in resultarrays in uppercase hex. */ void randomtest(int hashno, const char *seed, int hashsize, const char **resultarrays, int randomcount, int printResults, int printPassFail) { int i, j; char buf[20]; unsigned char SEED[USHAMaxHashSize], MD[1003][USHAMaxHashSize]; /* INPUT: Seed - A random seed n bits long */ memcpy(SEED, seed, hashsize); if (printResults == PRINTTEXT) { printf("%s random test seed= '", hashes[hashno].name); printxstr(seed, hashsize); printf("'\n"); } for (j = 0; j < randomcount; j++) { /* MD0 = MD1 = MD2 = Seed; */ memcpy(MD[0], SEED, hashsize); memcpy(MD[1], SEED, hashsize); memcpy(MD[2], SEED, hashsize); for (i=3; i<1003; i++) { /* Mi = MDi-3 || MDi-2 || MDi-1; */ USHAContext Mi; memset(&Mi, '\343', sizeof(Mi)); /* force bad data into struct */ USHAReset(&Mi, hashes[hashno].whichSha); USHAInput(&Mi, MD[i-3], hashsize); USHAInput(&Mi, MD[i-2], hashsize); USHAInput(&Mi, MD[i-1], hashsize); /* MDi = SHA(Mi); */ USHAResult(&Mi, MD[i]); } Eastlake & Hansen Informational PAGE 116

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* MDj = Seed = MDi; */ memcpy(SEED, MD[i-1], hashsize); /* OUTPUT: MDj */ sprintf(buf, "%d", j); printResult(SEED, hashsize, hashes[hashno].name, "random test", buf, resultarrays ? resultarrays[j] : 0, printResults, (j < RANDOMCOUNT) ? printPassFail : 0); } } /* * Look up a hash name. */ int findhash(const char *argv0, const char *opt) { int i; const char *names[HASHCOUNT][2] = { { "0", "sha1" }, { "1", "sha224" }, { "2", "sha256" }, { "3", "sha384" }, { "4", "sha512" } }; for (i = 0; i < HASHCOUNT; i++) if ((strcmp(opt, names[i][0]) == 0) || (scasecmp(opt, names[i][1]) == 0)) return i; fprintf(stderr, "%s: Unknown hash name: '%s'\n", argv0, opt); usage(argv0); return 0; } /* * Run some tests that should invoke errors. */ void testErrors(int hashnolow, int hashnohigh, int printResults, int printPassFail) { USHAContext usha; uint8_t Message_Digest[USHAMaxHashSize]; int hashno, err; for (hashno = hashnolow; hashno <= hashnohigh; hashno++) { memset(&usha, '\343', sizeof(usha)); /* force bad data */ USHAReset(&usha, hashno); USHAResult(&usha, Message_Digest); err = USHAInput(&usha, (const unsigned char *)"foo", 3); if (printResults == PRINTTEXT) printf ("\nError %d. Should be %d.\n", err, shaStateError); Eastlake & Hansen Informational PAGE 117

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 if ((printPassFail == PRINTPASSFAIL) || ((printPassFail == PRINTFAIL) && (err != shaStateError))) printf("%s se: %s\n", hashes[hashno].name, (err == shaStateError) ? "PASSED" : "FAILED"); err = USHAFinalBits(&usha, 0x80, 3); if (printResults == PRINTTEXT) printf ("\nError %d. Should be %d.\n", err, shaStateError); if ((printPassFail == PRINTPASSFAIL) || ((printPassFail == PRINTFAIL) && (err != shaStateError))) printf("%s se: %s\n", hashes[hashno].name, (err == shaStateError) ? "PASSED" : "FAILED"); err = USHAReset(0, hashes[hashno].whichSha); if (printResults == PRINTTEXT) printf("\nError %d. Should be %d.\n", err, shaNull); if ((printPassFail == PRINTPASSFAIL) || ((printPassFail == PRINTFAIL) && (err != shaNull))) printf("%s usha null: %s\n", hashes[hashno].name, (err == shaNull) ? "PASSED" : "FAILED"); switch (hashno) { case SHA1: err = SHA1Reset(0); break; case SHA224: err = SHA224Reset(0); break; case SHA256: err = SHA256Reset(0); break; case SHA384: err = SHA384Reset(0); break; case SHA512: err = SHA512Reset(0); break; } if (printResults == PRINTTEXT) printf("\nError %d. Should be %d.\n", err, shaNull); if ((printPassFail == PRINTPASSFAIL) || ((printPassFail == PRINTFAIL) && (err != shaNull))) printf("%s sha null: %s\n", hashes[hashno].name, (err == shaNull) ? "PASSED" : "FAILED"); } } /* replace a hex string in place with its value */ int unhexStr(char *hexstr) { char *o = hexstr; int len = 0, nibble1 = 0, nibble2 = 0; if (!hexstr) return 0; for ( ; *hexstr; hexstr++) { if (isalpha((int)(unsigned char)(*hexstr))) { nibble1 = tolower((int)(unsigned char)(*hexstr)) - 'a' + 10; } else if (isdigit((int)(unsigned char)(*hexstr))) { nibble1 = *hexstr - '0'; Eastlake & Hansen Informational PAGE 118

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 } else { printf("\nError: bad hex character '%c'\n", *hexstr); } if (!*++hexstr) break; if (isalpha((int)(unsigned char)(*hexstr))) { nibble2 = tolower((int)(unsigned char)(*hexstr)) - 'a' + 10; } else if (isdigit((int)(unsigned char)(*hexstr))) { nibble2 = *hexstr - '0'; } else { printf("\nError: bad hex character '%c'\n", *hexstr); } *o++ = (char)((nibble1 << 4) | nibble2); len++; } return len; } int main(int argc, char **argv) { int i, err; int loopno, loopnohigh = 1; int hashno, hashnolow = 0, hashnohigh = HASHCOUNT - 1; int testno, testnolow = 0, testnohigh; int ntestnohigh = 0; int printResults = PRINTTEXT; int printPassFail = 1; int checkErrors = 0; char *hashstr = 0; int hashlen = 0; const char *resultstr = 0; char *randomseedstr = 0; int runHmacTests = 0; int runHkdfTests = 0; char *hmacKey = 0; int hmaclen = 0; char *info = 0; int infolen = 0, okmlen = 0; int randomcount = RANDOMCOUNT; const char *hashfilename = 0; const char *hashFilename = 0; int extrabits = 0, numberExtrabits = 0; int strIsHex = 0; if ('A' != 0x41) { fprintf(stderr, "%s: these tests require ASCII\n", argv[0]); } while ((i = getopt(argc, argv, Eastlake & Hansen Informational PAGE 119

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 "6b:B:def:F:h:i:Hk:l:L:mpPr:R:s:S:t:wxX")) != -1) switch (i) { case 'b': extrabits = strtol(optarg, 0, 0); break; case 'B': numberExtrabits = atoi(optarg); break; case 'd': runHkdfTests = 1; break; case 'e': checkErrors = 1; break; case 'f': hashfilename = optarg; break; case 'F': hashFilename = optarg; break; case 'h': hashnolow = hashnohigh = findhash(argv[0], optarg); break; case 'H': strIsHex = 1; break; case 'i': info = optarg; infolen = strlen(optarg); break; case 'k': hmacKey = optarg; hmaclen = strlen(optarg); break; case 'l': loopnohigh = atoi(optarg); break; case 'L': okmlen = strtol(optarg, 0, 0); break; case 'm': runHmacTests = 1; break; case 'P': printPassFail = 0; break; case 'p': printResults = PRINTNONE; break; case 'R': randomcount = atoi(optarg); break; case 'r': randomseedstr = optarg; break; case 's': hashstr = optarg; hashlen = strlen(hashstr); break; case 'S': resultstr = optarg; break; case 't': testnolow = ntestnohigh = atoi(optarg) - 1; break; case 'w': printResults = PRINTRAW; break; case 'x': printResults = PRINTHEX; break; case 'X': printPassFail = 2; break; case '6': printResults = PRINTBASE64; break; default: usage(argv[0]); } if (strIsHex) { hashlen = unhexStr(hashstr); unhexStr(randomseedstr); hmaclen = unhexStr(hmacKey); infolen = unhexStr(info); } testnohigh = (ntestnohigh != 0) ? ntestnohigh: runHmacTests ? (HMACTESTCOUNT-1) : runHkdfTests ? (HKDFTESTCOUNT-1) : (TESTCOUNT-1); if ((testnolow < 0) || (testnohigh >= (runHmacTests ? HMACTESTCOUNT : TESTCOUNT)) || (hashnolow < 0) || (hashnohigh >= HASHCOUNT) || (hashstr && (testnolow == testnohigh)) || (randomcount < 0) || (resultstr && (!hashstr && !hashfilename && !hashFilename)) || ((runHmacTests || hmacKey) && randomseedstr) || (hashfilename && hashFilename) || Eastlake & Hansen Informational PAGE 120

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 (info && ((infolen <= 0) || (okmlen <= 0))) || (info && !hmacKey)) usage(argv[0]); /* * Perform SHA/HMAC tests */ for (hashno = hashnolow; hashno <= hashnohigh; ++hashno) { if (printResults == PRINTTEXT) printf("Hash %s\n", hashes[hashno].name); err = shaSuccess; for (loopno = 1; (loopno <= loopnohigh) && (err == shaSuccess); ++loopno) { if (hashstr) err = hash(0, loopno, hashno, hashstr, hashlen, 1, numberExtrabits, extrabits, (const unsigned char *)hmacKey, hmaclen, (const uint8_t *) info, infolen, okmlen, resultstr, hashes[hashno].hashsize, printResults, printPassFail); else if (randomseedstr) randomtest(hashno, randomseedstr, hashes[hashno].hashsize, 0, randomcount, printResults, printPassFail); else if (hashfilename) err = hashfile(hashno, hashfilename, extrabits, numberExtrabits, 0, (const unsigned char *)hmacKey, hmaclen, (const uint8_t *) info, infolen, okmlen, resultstr, hashes[hashno].hashsize, printResults, printPassFail); else if (hashFilename) err = hashfile(hashno, hashFilename, extrabits, numberExtrabits, 1, (const unsigned char *)hmacKey, hmaclen, (const uint8_t *) info, infolen, okmlen, resultstr, hashes[hashno].hashsize, printResults, printPassFail); else /* standard tests */ { for (testno = testnolow; (testno <= testnohigh) && (err == shaSuccess); ++testno) { if (runHmacTests) { err = hash(testno, loopno, hashno, hmachashes[testno].dataarray[hashno] ? hmachashes[testno].dataarray[hashno] : hmachashes[testno].dataarray[1] ? Eastlake & Hansen Informational PAGE 121

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 hmachashes[testno].dataarray[1] : hmachashes[testno].dataarray[0], hmachashes[testno].datalength[hashno] ? hmachashes[testno].datalength[hashno] : hmachashes[testno].datalength[1] ? hmachashes[testno].datalength[1] : hmachashes[testno].datalength[0], 1, 0, 0, (const unsigned char *)( hmachashes[testno].keyarray[hashno] ? hmachashes[testno].keyarray[hashno] : hmachashes[testno].keyarray[1] ? hmachashes[testno].keyarray[1] : hmachashes[testno].keyarray[0]), hmachashes[testno].keylength[hashno] ? hmachashes[testno].keylength[hashno] : hmachashes[testno].keylength[1] ? hmachashes[testno].keylength[1] : hmachashes[testno].keylength[0], 0, 0, 0, hmachashes[testno].resultarray[hashno], hmachashes[testno].resultlength[hashno], printResults, printPassFail); } else if (runHkdfTests) { err = hashHkdf(testno, loopno, hashno, printResults, printPassFail); } else { /* sha tests */ err = hash(testno, loopno, hashno, hashes[hashno].tests[testno].testarray, hashes[hashno].tests[testno].length, hashes[hashno].tests[testno].repeatcount, hashes[hashno].tests[testno].numberExtrabits, hashes[hashno].tests[testno].extrabits, 0, 0, 0, 0, 0, hashes[hashno].tests[testno].resultarray, hashes[hashno].hashsize, printResults, printPassFail); } } if (!runHmacTests && !runHkdfTests) { randomtest(hashno, hashes[hashno].randomtest, hashes[hashno].hashsize, hashes[hashno].randomresults, RANDOMCOUNT, printResults, printPassFail); } } } } Eastlake & Hansen Informational PAGE 122

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 /* Test some error returns */ if (checkErrors) { testErrors(hashnolow, hashnohigh, printResults, printPassFail); } return 0; } /* * Compare two strings, case independently. * Equivalent to strcasecmp() found on some systems. */ int scasecmp(const char *s1, const char *s2) { for (;;) { char u1 = tolower((int)(unsigned char)(*s1++)); char u2 = tolower((int)(unsigned char)(*s2++)); if (u1 != u2) return u1 - u2; if (u1 == '\0') return 0; } } 9. Security Considerations This document is intended to provide convenient open source access by the Internet community to the United States of America Federal Information Processing Standard Secure Hash Algorithms (SHAs) [FIPS 180-2], HMACs based thereon, and HKDF. No independent assertion of the security of these functions by the authors for any particular use is intended. See [RFC 6194] for a discussion of SHA-1 Security Considerations. 10. Acknowledgements Thanks for the corrections to [RFC 4634] that were provided by Alfred Hoenes and Jan Andres and to Alfred's comments on the document hereof. Also to the following in alphabetic order, whose comments lead to improvements in the document: James Carlson, Russ Housley, Tero Kivinen, Juergen Quittek, and Sean Turner. Eastlake & Hansen Informational PAGE 123

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 11. References 11.1. Normative References [RFC 2104] Krawczyk, H., Bellare, M., and R. Canetti, "HMAC: Keyed- Hashing for Message Authentication", RFC 2104, February 1997. [RFC 5869] Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand Key Derivation Function (HKDF)", RFC 5869, May 2010. [SHS] "Secure Hash Standard", United States of American, National Institute of Science and Technology, Federal Information Processing Standard (FIPS) 180-3, http://csrc.nist.gov/publications/fips/fips180-3/ fips180-3_final.pdf. [US-ASCII] ANSI, "USA Standard Code for Information Interchange", X3.4, American National Standards Institute: New York, 1968. 11.2. Informative References [RFC 3174] Eastlake 3rd, D. and P. Jones, "US Secure Hash Algorithm 1 (SHA1)", RFC 3174, September 2001. [RFC 3874] Housley, R., "A 224-bit One-way Hash Function: SHA-224", RFC 3874, September 2004. [RFC 4055] Schaad, J., Kaliski, B., and R. Housley, "Additional Algorithms and Identifiers for RSA Cryptography for use in the Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile", RFC 4055, June 2005. [RFC 4086] Eastlake 3rd, D., Schiller, J., and S. Crocker, "Randomness Requirements for Security", BCP 106, RFC 4086, June 2005. [RFC 4634] Eastlake 3rd, D. and T. Hansen, "US Secure Hash Algorithms (SHA and HMAC-SHA)", RFC 4634, July 2006. [RFC 6194] Polk, T., Chen, L., Turner, S., and P. Hoffman, "Security Considerations for the SHA-0 and SHA-1 Message-Digest Algorithms", RFC 6194, March 2011. Eastlake & Hansen Informational PAGE 124

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 [SHAVS] "The Secure Hash Algorithm Validation System (SHAVS)", http://csrc.nist.gov/groups/STM/cavp/documents/shs/ SHAVS.pdf, July 2004. Eastlake & Hansen Informational PAGE 125

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Appendix: Changes from RFC 4634 The following changes were made to RFC 4634 to produce this document: 1. Add code for HKDF and brief text about HKDF with pointer to [RFC 5869]. 2. Fix numerous errata filed against [RFC 4634] as included below. Note that in no case did the old code return an incorrect hash value. 2.a. Correct some of the error return values which has erroneously been "shaNull" to the correct "shaInputTooLong" error. 2.b. Update comments and variable names within the code for consistency and clarity and other editorial changes. 2.c. The previous code for SHA-384 and SHA-512 would stop after 2^93 bytes (2^96 bits). The fixed code handles up to 2^125 bytes (2^128 bits). 2.d. Add additional error checking including a run time check in the test driver to detect attempts to run the test driver after compilation using some other character set instead of [US-ASCII]. 3. Update boilerplate, remove special license in [RFC 4634] as new boilerplate mandates simplified BSD license. 4. Replace MIT version of getopt with new code to satisfy IETF incoming and outgoing license restrictions. 5. Add references to [RFC 6194]. 6. Other assorted editorial improvements. Eastlake & Hansen Informational PAGE 126

RFC 6234 SHAs, HMAC-SHAs, and HKDF May 2011 Author's Address Donald Eastlake Huawei 155 Beaver Street Milford, MA 01757 USA Telephone: +1-508-333-2270 EMail: d3e3e3@gmail.com Tony Hansen AT&T Laboratories 200 Laurel Ave. Middletown, NJ 07748 USA Telephone: +1-732-420-8934 EMail: tony+shs@maillennium.att.com Eastlake & Hansen Informational PAGE 127

US Secure Hash Algorithms (SHA and SHA-based HMAC and HKDF) RFC TOTAL SIZE: 236573 bytes PUBLICATION DATE: Saturday, May 7th, 2011 LEGAL RIGHTS: The IETF Trust (see BCP 78)


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