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+
+Network Working Group R. Rivest
+Request for Comments: 1320 MIT Laboratory for Computer Science
+Obsoletes: RFC 1186 and RSA Data Security, Inc.
+ April 1992
+
+
+ The MD4 Message-Digest Algorithm
+
+Status of thie Memo
+
+ This memo provides information for the Internet community. It does
+ not specify an Internet standard. Distribution of this memo is
+ unlimited.
+
+Acknowlegements
+
+ We would like to thank Don Coppersmith, Burt Kaliski, Ralph Merkle,
+ and Noam Nisan for numerous helpful comments and suggestions.
+
+Table of Contents
+
+ 1. Executive Summary 1
+ 2. Terminology and Notation 2
+ 3. MD4 Algorithm Description 2
+ 4. Summary 6
+ References 6
+ APPENDIX A - Reference Implementation 6
+ Security Considerations 20
+ Author's Address 20
+
+1. Executive Summary
+
+ This document describes the MD4 message-digest algorithm [1]. The
+ algorithm takes as input a message of arbitrary length and produces
+ as output a 128-bit "fingerprint" or "message digest" of the input.
+ It is conjectured that it is computationally infeasible to produce
+ two messages having the same message digest, or to produce any
+ message having a given prespecified target message digest. The MD4
+ algorithm is intended for digital signature applications, where a
+ large file must be "compressed" in a secure manner before being
+ encrypted with a private (secret) key under a public-key cryptosystem
+ such as RSA.
+
+ The MD4 algorithm is designed to be quite fast on 32-bit machines. In
+ addition, the MD4 algorithm does not require any large substitution
+ tables; the algorithm can be coded quite compactly.
+
+
+
+
+
+Rivest [Page 1]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ The MD4 algorithm is being placed in the public domain for review and
+ possible adoption as a standard.
+
+ This document replaces the October 1990 RFC 1186 [2]. The main
+ difference is that the reference implementation of MD4 in the
+ appendix is more portable.
+
+ For OSI-based applications, MD4's object identifier is
+
+ md4 OBJECT IDENTIFIER ::=
+ {iso(1) member-body(2) US(840) rsadsi(113549) digestAlgorithm(2) 4}
+
+ In the X.509 type AlgorithmIdentifier [3], the parameters for MD4
+ should have type NULL.
+
+2. Terminology and Notation
+
+ In this document a "word" is a 32-bit quantity and a "byte" is an
+ eight-bit quantity. A sequence of bits can be interpreted in a
+ natural manner as a sequence of bytes, where each consecutive group
+ of eight bits is interpreted as a byte with the high-order (most
+ significant) bit of each byte listed first. Similarly, a sequence of
+ bytes can be interpreted as a sequence of 32-bit words, where each
+ consecutive group of four bytes is interpreted as a word with the
+ low-order (least significant) byte given first.
+
+ Let x_i denote "x sub i". If the subscript is an expression, we
+ surround it in braces, as in x_{i+1}. Similarly, we use ^ for
+ superscripts (exponentiation), so that x^i denotes x to the i-th
+ power.
+
+ Let the symbol "+" denote addition of words (i.e., modulo-2^32
+ addition). Let X <<< s denote the 32-bit value obtained by circularly
+ shifting (rotating) X left by s bit positions. Let not(X) denote the
+ bit-wise complement of X, and let X v Y denote the bit-wise OR of X
+ and Y. Let X xor Y denote the bit-wise XOR of X and Y, and let XY
+ denote the bit-wise AND of X and Y.
+
+3. MD4 Algorithm Description
+
+ We begin by supposing that we have a b-bit message as input, and that
+ we wish to find its message digest. Here b is an arbitrary
+ nonnegative integer; b may be zero, it need not be a multiple of
+ eight, and it may be arbitrarily large. We imagine the bits of the
+ message written down as follows:
+
+ m_0 m_1 ... m_{b-1}
+
+
+
+
+Rivest [Page 2]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ The following five steps are performed to compute the message digest
+ of the message.
+
+3.1 Step 1. Append Padding Bits
+
+ The message is "padded" (extended) so that its length (in bits) is
+ congruent to 448, modulo 512. That is, the message is extended so
+ that it is just 64 bits shy of being a multiple of 512 bits long.
+ Padding is always performed, even if the length of the message is
+ already congruent to 448, modulo 512.
+
+ Padding is performed as follows: a single "1" bit is appended to the
+ message, and then "0" bits are appended so that the length in bits of
+ the padded message becomes congruent to 448, modulo 512. In all, at
+ least one bit and at most 512 bits are appended.
+
+3.2 Step 2. Append Length
+
+ A 64-bit representation of b (the length of the message before the
+ padding bits were added) is appended to the result of the previous
+ step. In the unlikely event that b is greater than 2^64, then only
+ the low-order 64 bits of b are used. (These bits are appended as two
+ 32-bit words and appended low-order word first in accordance with the
+ previous conventions.)
+
+ At this point the resulting message (after padding with bits and with
+ b) has a length that is an exact multiple of 512 bits. Equivalently,
+ this message has a length that is an exact multiple of 16 (32-bit)
+ words. Let M[0 ... N-1] denote the words of the resulting message,
+ where N is a multiple of 16.
+
+3.3 Step 3. Initialize MD Buffer
+
+ A four-word buffer (A,B,C,D) is used to compute the message digest.
+ Here each of A, B, C, D is a 32-bit register. These registers are
+ initialized to the following values in hexadecimal, low-order bytes
+ first):
+
+ word A: 01 23 45 67
+ word B: 89 ab cd ef
+ word C: fe dc ba 98
+ word D: 76 54 32 10
+
+
+
+
+
+
+
+
+
+Rivest [Page 3]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+3.4 Step 4. Process Message in 16-Word Blocks
+
+ We first define three auxiliary functions that each take as input
+ three 32-bit words and produce as output one 32-bit word.
+
+ F(X,Y,Z) = XY v not(X) Z
+ G(X,Y,Z) = XY v XZ v YZ
+ H(X,Y,Z) = X xor Y xor Z
+
+ In each bit position F acts as a conditional: if X then Y else Z.
+ The function F could have been defined using + instead of v since XY
+ and not(X)Z will never have "1" bits in the same bit position.) In
+ each bit position G acts as a majority function: if at least two of
+ X, Y, Z are on, then G has a "1" bit in that bit position, else G has
+ a "0" bit. It is interesting to note that if the bits of X, Y, and Z
+ are independent and unbiased, the each bit of f(X,Y,Z) will be
+ independent and unbiased, and similarly each bit of g(X,Y,Z) will be
+ independent and unbiased. The function H is the bit-wise XOR or
+ parity" function; it has properties similar to those of F and G.
+
+ Do the following:
+
+ Process each 16-word block. */
+ For i = 0 to N/16-1 do
+
+ /* Copy block i into X. */
+ For j = 0 to 15 do
+ Set X[j] to M[i*16+j].
+ end /* of loop on j */
+
+ /* Save A as AA, B as BB, C as CC, and D as DD. */
+ AA = A
+ BB = B
+ CC = C
+ DD = D
+
+ /* Round 1. */
+ /* Let [abcd k s] denote the operation
+ a = (a + F(b,c,d) + X[k]) <<< s. */
+ /* Do the following 16 operations. */
+ [ABCD 0 3] [DABC 1 7] [CDAB 2 11] [BCDA 3 19]
+ [ABCD 4 3] [DABC 5 7] [CDAB 6 11] [BCDA 7 19]
+ [ABCD 8 3] [DABC 9 7] [CDAB 10 11] [BCDA 11 19]
+ [ABCD 12 3] [DABC 13 7] [CDAB 14 11] [BCDA 15 19]
+
+ /* Round 2. */
+ /* Let [abcd k s] denote the operation
+ a = (a + G(b,c,d) + X[k] + 5A827999) <<< s. */
+
+
+
+Rivest [Page 4]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ /* Do the following 16 operations. */
+ [ABCD 0 3] [DABC 4 5] [CDAB 8 9] [BCDA 12 13]
+ [ABCD 1 3] [DABC 5 5] [CDAB 9 9] [BCDA 13 13]
+ [ABCD 2 3] [DABC 6 5] [CDAB 10 9] [BCDA 14 13]
+ [ABCD 3 3] [DABC 7 5] [CDAB 11 9] [BCDA 15 13]
+
+ /* Round 3. */
+ /* Let [abcd k s] denote the operation
+ a = (a + H(b,c,d) + X[k] + 6ED9EBA1) <<< s. */
+ /* Do the following 16 operations. */
+ [ABCD 0 3] [DABC 8 9] [CDAB 4 11] [BCDA 12 15]
+ [ABCD 2 3] [DABC 10 9] [CDAB 6 11] [BCDA 14 15]
+ [ABCD 1 3] [DABC 9 9] [CDAB 5 11] [BCDA 13 15]
+ [ABCD 3 3] [DABC 11 9] [CDAB 7 11] [BCDA 15 15]
+
+ /* Then perform the following additions. (That is, increment each
+ of the four registers by the value it had before this block
+ was started.) */
+ A = A + AA
+ B = B + BB
+ C = C + CC
+ D = D + DD
+
+ end /* of loop on i */
+
+ Note. The value 5A..99 is a hexadecimal 32-bit constant, written with
+ the high-order digit first. This constant represents the square root
+ of 2. The octal value of this constant is 013240474631.
+
+ The value 6E..A1 is a hexadecimal 32-bit constant, written with the
+ high-order digit first. This constant represents the square root of
+ 3. The octal value of this constant is 015666365641.
+
+ See Knuth, The Art of Programming, Volume 2 (Seminumerical
+ Algorithms), Second Edition (1981), Addison-Wesley. Table 2, page
+ 660.
+
+3.5 Step 5. Output
+
+ The message digest produced as output is A, B, C, D. That is, we
+ begin with the low-order byte of A, and end with the high-order byte
+ of D.
+
+ This completes the description of MD4. A reference implementation in
+ C is given in the appendix.
+
+
+
+
+
+
+Rivest [Page 5]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+4. Summary
+
+ The MD4 message-digest algorithm is simple to implement, and provides
+ a "fingerprint" or message digest of a message of arbitrary length.
+ It is conjectured that the difficulty of coming up with two messages
+ having the same message digest is on the order of 2^64 operations,
+ and that the difficulty of coming up with any message having a given
+ message digest is on the order of 2^128 operations. The MD4 algorithm
+ has been carefully scrutinized for weaknesses. It is, however, a
+ relatively new algorithm and further security analysis is of course
+ justified, as is the case with any new proposal of this sort.
+
+References
+
+ [1] Rivest, R., "The MD4 message digest algorithm", in A.J. Menezes
+ and S.A. Vanstone, editors, Advances in Cryptology - CRYPTO '90
+ Proceedings, pages 303-311, Springer-Verlag, 1991.
+
+ [2] Rivest, R., "The MD4 Message Digest Algorithm", RFC 1186, MIT,
+ October 1990.
+
+ [3] CCITT Recommendation X.509 (1988), "The Directory -
+ Authentication Framework".
+
+ [4] Rivest, R., "The MD5 Message-Digest Algorithm", RFC 1321, MIT and
+ RSA Data Security, Inc, April 1992.
+
+APPENDIX A - Reference Implementation
+
+ This appendix contains the following files:
+
+ global.h -- global header file
+
+ md4.h -- header file for MD4
+
+ md4c.c -- source code for MD4
+
+ mddriver.c -- test driver for MD2, MD4 and MD5
+
+ The driver compiles for MD5 by default but can compile for MD2 or MD4
+ if the symbol MD is defined on the C compiler command line as 2 or 4.
+
+ The implementation is portable and should work on many different
+ plaforms. However, it is not difficult to optimize the implementation
+ on particular platforms, an exercise left to the reader. For example,
+ on "little-endian" platforms where the lowest-addressed byte in a 32-
+ bit word is the least significant and there are no alignment
+ restrictions, the call to Decode in MD4Transform can be replaced with
+
+
+
+Rivest [Page 6]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ a typecast.
+
+A.1 global.h
+
+/* GLOBAL.H - RSAREF types and constants
+ */
+
+/* PROTOTYPES should be set to one if and only if the compiler supports
+ function argument prototyping.
+ The following makes PROTOTYPES default to 0 if it has not already
+ been defined with C compiler flags.
+ */
+#ifndef PROTOTYPES
+#define PROTOTYPES 0
+#endif
+
+/* POINTER defines a generic pointer type */
+typedef unsigned char *POINTER;
+
+/* UINT2 defines a two byte word */
+typedef unsigned short int UINT2;
+
+/* UINT4 defines a four byte word */
+typedef unsigned long int UINT4;
+
+/* PROTO_LIST is defined depending on how PROTOTYPES is defined above.
+ If using PROTOTYPES, then PROTO_LIST returns the list, otherwise it
+ returns an empty list.
+ */
+
+#if PROTOTYPES
+#define PROTO_LIST(list) list
+#else
+#define PROTO_LIST(list) ()
+#endif
+
+A.2 md4.h
+
+/* MD4.H - header file for MD4C.C
+ */
+
+/* Copyright (C) 1991-2, RSA Data Security, Inc. Created 1991. All
+ rights reserved.
+
+ License to copy and use this software is granted provided that it
+ is identified as the "RSA Data Security, Inc. MD4 Message-Digest
+ Algorithm" in all material mentioning or referencing this software
+ or this function.
+
+
+
+Rivest [Page 7]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ License is also granted to make and use derivative works provided
+ that such works are identified as "derived from the RSA Data
+ Security, Inc. MD4 Message-Digest Algorithm" in all material
+ mentioning or referencing the derived work.
+
+ RSA Data Security, Inc. makes no representations concerning either
+ the merchantability of this software or the suitability of this
+ software for any particular purpose. It is provided "as is"
+ without express or implied warranty of any kind.
+
+ These notices must be retained in any copies of any part of this
+ documentation and/or software.
+ */
+
+/* MD4 context. */
+typedef struct {
+ UINT4 state[4]; /* state (ABCD) */
+ UINT4 count[2]; /* number of bits, modulo 2^64 (lsb first) */
+ unsigned char buffer[64]; /* input buffer */
+} MD4_CTX;
+
+void MD4Init PROTO_LIST ((MD4_CTX *));
+void MD4Update PROTO_LIST
+ ((MD4_CTX *, unsigned char *, unsigned int));
+void MD4Final PROTO_LIST ((unsigned char [16], MD4_CTX *));
+
+A.3 md4c.c
+
+/* MD4C.C - RSA Data Security, Inc., MD4 message-digest algorithm
+ */
+
+/* Copyright (C) 1990-2, RSA Data Security, Inc. All rights reserved.
+
+ License to copy and use this software is granted provided that it
+ is identified as the "RSA Data Security, Inc. MD4 Message-Digest
+ Algorithm" in all material mentioning or referencing this software
+ or this function.
+
+ License is also granted to make and use derivative works provided
+ that such works are identified as "derived from the RSA Data
+ Security, Inc. MD4 Message-Digest Algorithm" in all material
+ mentioning or referencing the derived work.
+
+ RSA Data Security, Inc. makes no representations concerning either
+ the merchantability of this software or the suitability of this
+ software for any particular purpose. It is provided "as is"
+ without express or implied warranty of any kind.
+
+
+
+
+Rivest [Page 8]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ These notices must be retained in any copies of any part of this
+ documentation and/or software.
+ */
+
+#include "global.h"
+#include "md4.h"
+
+/* Constants for MD4Transform routine.
+ */
+#define S11 3
+#define S12 7
+#define S13 11
+#define S14 19
+#define S21 3
+#define S22 5
+#define S23 9
+#define S24 13
+#define S31 3
+#define S32 9
+#define S33 11
+#define S34 15
+
+static void MD4Transform PROTO_LIST ((UINT4 [4], unsigned char [64]));
+static void Encode PROTO_LIST
+ ((unsigned char *, UINT4 *, unsigned int));
+static void Decode PROTO_LIST
+ ((UINT4 *, unsigned char *, unsigned int));
+static void MD4_memcpy PROTO_LIST ((POINTER, POINTER, unsigned int));
+static void MD4_memset PROTO_LIST ((POINTER, int, unsigned int));
+
+static unsigned char PADDING[64] = {
+ 0x80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
+};
+
+/* F, G and H are basic MD4 functions.
+ */
+#define F(x, y, z) (((x) & (y)) | ((~x) & (z)))
+#define G(x, y, z) (((x) & (y)) | ((x) & (z)) | ((y) & (z)))
+#define H(x, y, z) ((x) ^ (y) ^ (z))
+
+/* ROTATE_LEFT rotates x left n bits.
+ */
+#define ROTATE_LEFT(x, n) (((x) << (n)) | ((x) >> (32-(n))))
+
+/* FF, GG and HH are transformations for rounds 1, 2 and 3 */
+/* Rotation is separate from addition to prevent recomputation */
+
+
+
+Rivest [Page 9]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+#define FF(a, b, c, d, x, s) { \
+ (a) += F ((b), (c), (d)) + (x); \
+ (a) = ROTATE_LEFT ((a), (s)); \
+ }
+#define GG(a, b, c, d, x, s) { \
+ (a) += G ((b), (c), (d)) + (x) + (UINT4)0x5a827999; \
+ (a) = ROTATE_LEFT ((a), (s)); \
+ }
+#define HH(a, b, c, d, x, s) { \
+ (a) += H ((b), (c), (d)) + (x) + (UINT4)0x6ed9eba1; \
+ (a) = ROTATE_LEFT ((a), (s)); \
+ }
+
+/* MD4 initialization. Begins an MD4 operation, writing a new context.
+ */
+void MD4Init (context)
+MD4_CTX *context; /* context */
+{
+ context->count[0] = context->count[1] = 0;
+
+ /* Load magic initialization constants.
+ */
+ context->state[0] = 0x67452301;
+ context->state[1] = 0xefcdab89;
+ context->state[2] = 0x98badcfe;
+ context->state[3] = 0x10325476;
+}
+
+/* MD4 block update operation. Continues an MD4 message-digest
+ operation, processing another message block, and updating the
+ context.
+ */
+void MD4Update (context, input, inputLen)
+MD4_CTX *context; /* context */
+unsigned char *input; /* input block */
+unsigned int inputLen; /* length of input block */
+{
+ unsigned int i, index, partLen;
+
+ /* Compute number of bytes mod 64 */
+ index = (unsigned int)((context->count[0] >> 3) & 0x3F);
+ /* Update number of bits */
+ if ((context->count[0] += ((UINT4)inputLen << 3))
+ < ((UINT4)inputLen << 3))
+ context->count[1]++;
+ context->count[1] += ((UINT4)inputLen >> 29);
+
+ partLen = 64 - index;
+
+
+
+Rivest [Page 10]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ /* Transform as many times as possible.
+ */
+ if (inputLen >= partLen) {
+ MD4_memcpy
+ ((POINTER)&context->buffer[index], (POINTER)input, partLen);
+ MD4Transform (context->state, context->buffer);
+
+ for (i = partLen; i + 63 < inputLen; i += 64)
+ MD4Transform (context->state, &input[i]);
+
+ index = 0;
+ }
+ else
+ i = 0;
+
+ /* Buffer remaining input */
+ MD4_memcpy
+ ((POINTER)&context->buffer[index], (POINTER)&input[i],
+ inputLen-i);
+}
+
+/* MD4 finalization. Ends an MD4 message-digest operation, writing the
+ the message digest and zeroizing the context.
+ */
+void MD4Final (digest, context)
+unsigned char digest[16]; /* message digest */
+MD4_CTX *context; /* context */
+{
+ unsigned char bits[8];
+ unsigned int index, padLen;
+
+ /* Save number of bits */
+ Encode (bits, context->count, 8);
+
+ /* Pad out to 56 mod 64.
+ */
+ index = (unsigned int)((context->count[0] >> 3) & 0x3f);
+ padLen = (index < 56) ? (56 - index) : (120 - index);
+ MD4Update (context, PADDING, padLen);
+
+ /* Append length (before padding) */
+ MD4Update (context, bits, 8);
+ /* Store state in digest */
+ Encode (digest, context->state, 16);
+
+ /* Zeroize sensitive information.
+ */
+ MD4_memset ((POINTER)context, 0, sizeof (*context));
+
+
+
+Rivest [Page 11]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+}
+
+/* MD4 basic transformation. Transforms state based on block.
+ */
+static void MD4Transform (state, block)
+UINT4 state[4];
+unsigned char block[64];
+{
+ UINT4 a = state[0], b = state[1], c = state[2], d = state[3], x[16];
+
+ Decode (x, block, 64);
+
+ /* Round 1 */
+ FF (a, b, c, d, x[ 0], S11); /* 1 */
+ FF (d, a, b, c, x[ 1], S12); /* 2 */
+ FF (c, d, a, b, x[ 2], S13); /* 3 */
+ FF (b, c, d, a, x[ 3], S14); /* 4 */
+ FF (a, b, c, d, x[ 4], S11); /* 5 */
+ FF (d, a, b, c, x[ 5], S12); /* 6 */
+ FF (c, d, a, b, x[ 6], S13); /* 7 */
+ FF (b, c, d, a, x[ 7], S14); /* 8 */
+ FF (a, b, c, d, x[ 8], S11); /* 9 */
+ FF (d, a, b, c, x[ 9], S12); /* 10 */
+ FF (c, d, a, b, x[10], S13); /* 11 */
+ FF (b, c, d, a, x[11], S14); /* 12 */
+ FF (a, b, c, d, x[12], S11); /* 13 */
+ FF (d, a, b, c, x[13], S12); /* 14 */
+ FF (c, d, a, b, x[14], S13); /* 15 */
+ FF (b, c, d, a, x[15], S14); /* 16 */
+
+ /* Round 2 */
+ GG (a, b, c, d, x[ 0], S21); /* 17 */
+ GG (d, a, b, c, x[ 4], S22); /* 18 */
+ GG (c, d, a, b, x[ 8], S23); /* 19 */
+ GG (b, c, d, a, x[12], S24); /* 20 */
+ GG (a, b, c, d, x[ 1], S21); /* 21 */
+ GG (d, a, b, c, x[ 5], S22); /* 22 */
+ GG (c, d, a, b, x[ 9], S23); /* 23 */
+ GG (b, c, d, a, x[13], S24); /* 24 */
+ GG (a, b, c, d, x[ 2], S21); /* 25 */
+ GG (d, a, b, c, x[ 6], S22); /* 26 */
+ GG (c, d, a, b, x[10], S23); /* 27 */
+ GG (b, c, d, a, x[14], S24); /* 28 */
+ GG (a, b, c, d, x[ 3], S21); /* 29 */
+ GG (d, a, b, c, x[ 7], S22); /* 30 */
+ GG (c, d, a, b, x[11], S23); /* 31 */
+ GG (b, c, d, a, x[15], S24); /* 32 */
+
+
+
+
+Rivest [Page 12]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ /* Round 3 */
+ HH (a, b, c, d, x[ 0], S31); /* 33 */
+ HH (d, a, b, c, x[ 8], S32); /* 34 */
+ HH (c, d, a, b, x[ 4], S33); /* 35 */
+ HH (b, c, d, a, x[12], S34); /* 36 */
+ HH (a, b, c, d, x[ 2], S31); /* 37 */
+ HH (d, a, b, c, x[10], S32); /* 38 */
+ HH (c, d, a, b, x[ 6], S33); /* 39 */
+ HH (b, c, d, a, x[14], S34); /* 40 */
+ HH (a, b, c, d, x[ 1], S31); /* 41 */
+ HH (d, a, b, c, x[ 9], S32); /* 42 */
+ HH (c, d, a, b, x[ 5], S33); /* 43 */
+ HH (b, c, d, a, x[13], S34); /* 44 */
+ HH (a, b, c, d, x[ 3], S31); /* 45 */
+ HH (d, a, b, c, x[11], S32); /* 46 */
+ HH (c, d, a, b, x[ 7], S33); /* 47 */
+ HH (b, c, d, a, x[15], S34); /* 48 */
+
+ state[0] += a;
+ state[1] += b;
+ state[2] += c;
+ state[3] += d;
+
+ /* Zeroize sensitive information.
+ */
+ MD4_memset ((POINTER)x, 0, sizeof (x));
+}
+
+/* Encodes input (UINT4) into output (unsigned char). Assumes len is
+ a multiple of 4.
+ */
+static void Encode (output, input, len)
+unsigned char *output;
+UINT4 *input;
+unsigned int len;
+{
+ unsigned int i, j;
+
+ for (i = 0, j = 0; j < len; i++, j += 4) {
+ output[j] = (unsigned char)(input[i] & 0xff);
+ output[j+1] = (unsigned char)((input[i] >> 8) & 0xff);
+ output[j+2] = (unsigned char)((input[i] >> 16) & 0xff);
+ output[j+3] = (unsigned char)((input[i] >> 24) & 0xff);
+ }
+}
+
+/* Decodes input (unsigned char) into output (UINT4). Assumes len is
+ a multiple of 4.
+
+
+
+Rivest [Page 13]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ */
+static void Decode (output, input, len)
+
+UINT4 *output;
+unsigned char *input;
+unsigned int len;
+{
+ unsigned int i, j;
+
+ for (i = 0, j = 0; j < len; i++, j += 4)
+ output[i] = ((UINT4)input[j]) | (((UINT4)input[j+1]) << 8) |
+ (((UINT4)input[j+2]) << 16) | (((UINT4)input[j+3]) << 24);
+}
+
+/* Note: Replace "for loop" with standard memcpy if possible.
+ */
+static void MD4_memcpy (output, input, len)
+POINTER output;
+POINTER input;
+unsigned int len;
+{
+ unsigned int i;
+
+ for (i = 0; i < len; i++)
+ output[i] = input[i];
+}
+
+/* Note: Replace "for loop" with standard memset if possible.
+ */
+static void MD4_memset (output, value, len)
+POINTER output;
+int value;
+unsigned int len;
+{
+ unsigned int i;
+
+ for (i = 0; i < len; i++)
+ ((char *)output)[i] = (char)value;
+}
+
+A.4 mddriver.c
+
+/* MDDRIVER.C - test driver for MD2, MD4 and MD5
+ */
+
+/* Copyright (C) 1990-2, RSA Data Security, Inc. Created 1990. All
+ rights reserved.
+
+
+
+
+Rivest [Page 14]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ RSA Data Security, Inc. makes no representations concerning either
+ the merchantability of this software or the suitability of this
+ software for any particular purpose. It is provided "as is"
+ without express or implied warranty of any kind.
+
+ These notices must be retained in any copies of any part of this
+ documentation and/or software.
+
+ */
+
+/* The following makes MD default to MD5 if it has not already been
+ defined with C compiler flags.
+ */
+#ifndef MD
+#define MD MD5
+#endif
+
+#include <stdio.h>
+#include <time.h>
+#include <string.h>
+#include "global.h"
+#if MD == 2
+#include "md2.h"
+#endif
+#if MD == 4
+#include "md4.h"
+#endif
+#if MD == 5
+#include "md5.h"
+#endif
+
+/* Length of test block, number of test blocks.
+ */
+#define TEST_BLOCK_LEN 1000
+#define TEST_BLOCK_COUNT 1000
+
+static void MDString PROTO_LIST ((char *));
+static void MDTimeTrial PROTO_LIST ((void));
+static void MDTestSuite PROTO_LIST ((void));
+static void MDFile PROTO_LIST ((char *));
+static void MDFilter PROTO_LIST ((void));
+static void MDPrint PROTO_LIST ((unsigned char [16]));
+
+#if MD == 2
+#define MD_CTX MD2_CTX
+#define MDInit MD2Init
+#define MDUpdate MD2Update
+#define MDFinal MD2Final
+
+
+
+Rivest [Page 15]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+#endif
+#if MD == 4
+#define MD_CTX MD4_CTX
+#define MDInit MD4Init
+#define MDUpdate MD4Update
+#define MDFinal MD4Final
+#endif
+#if MD == 5
+#define MD_CTX MD5_CTX
+#define MDInit MD5Init
+#define MDUpdate MD5Update
+#define MDFinal MD5Final
+#endif
+
+/* Main driver.
+
+ Arguments (may be any combination):
+ -sstring - digests string
+ -t - runs time trial
+ -x - runs test script
+ filename - digests file
+ (none) - digests standard input
+ */
+int main (argc, argv)
+int argc;
+char *argv[];
+{
+ int i;
+
+ if (argc > 1)
+ for (i = 1; i < argc; i++)
+ if (argv[i][0] == '-' && argv[i][1] == 's')
+ MDString (argv[i] + 2);
+ else if (strcmp (argv[i], "-t") == 0)
+ MDTimeTrial ();
+ else if (strcmp (argv[i], "-x") == 0)
+ MDTestSuite ();
+ else
+ MDFile (argv[i]);
+ else
+ MDFilter ();
+
+ return (0);
+}
+
+/* Digests a string and prints the result.
+ */
+static void MDString (string)
+
+
+
+Rivest [Page 16]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+char *string;
+{
+ MD_CTX context;
+ unsigned char digest[16];
+ unsigned int len = strlen (string);
+
+ MDInit (&context);
+ MDUpdate (&context, string, len);
+ MDFinal (digest, &context);
+
+ printf ("MD%d (\"%s\") = ", MD, string);
+ MDPrint (digest);
+ printf ("\n");
+}
+
+/* Measures the time to digest TEST_BLOCK_COUNT TEST_BLOCK_LEN-byte
+ blocks.
+ */
+static void MDTimeTrial ()
+{
+ MD_CTX context;
+ time_t endTime, startTime;
+ unsigned char block[TEST_BLOCK_LEN], digest[16];
+ unsigned int i;
+
+ printf
+ ("MD%d time trial. Digesting %d %d-byte blocks ...", MD,
+ TEST_BLOCK_LEN, TEST_BLOCK_COUNT);
+
+ /* Initialize block */
+ for (i = 0; i < TEST_BLOCK_LEN; i++)
+ block[i] = (unsigned char)(i & 0xff);
+
+ /* Start timer */
+ time (&startTime);
+
+ /* Digest blocks */
+ MDInit (&context);
+ for (i = 0; i < TEST_BLOCK_COUNT; i++)
+ MDUpdate (&context, block, TEST_BLOCK_LEN);
+ MDFinal (digest, &context);
+
+ /* Stop timer */
+ time (&endTime);
+
+ printf (" done\n");
+ printf ("Digest = ");
+ MDPrint (digest);
+
+
+
+Rivest [Page 17]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ printf ("\nTime = %ld seconds\n", (long)(endTime-startTime));
+ printf
+ ("Speed = %ld bytes/second\n",
+ (long)TEST_BLOCK_LEN * (long)TEST_BLOCK_COUNT/(endTime-startTime));
+}
+
+/* Digests a reference suite of strings and prints the results.
+ */
+static void MDTestSuite ()
+{
+ printf ("MD%d test suite:\n", MD);
+
+ MDString ("");
+ MDString ("a");
+ MDString ("abc");
+ MDString ("message digest");
+ MDString ("abcdefghijklmnopqrstuvwxyz");
+ MDString
+ ("ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789");
+ MDString
+
+ ("1234567890123456789012345678901234567890\
+1234567890123456789012345678901234567890");
+}
+
+/* Digests a file and prints the result.
+ */
+static void MDFile (filename)
+char *filename;
+{
+ FILE *file;
+ MD_CTX context;
+ int len;
+ unsigned char buffer[1024], digest[16];
+
+ if ((file = fopen (filename, "rb")) == NULL)
+ printf ("%s can't be opened\n", filename);
+
+ else {
+ MDInit (&context);
+ while (len = fread (buffer, 1, 1024, file))
+ MDUpdate (&context, buffer, len);
+ MDFinal (digest, &context);
+
+ fclose (file);
+
+ printf ("MD%d (%s) = ", MD, filename);
+ MDPrint (digest);
+
+
+
+Rivest [Page 18]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+ printf ("\n");
+ }
+}
+
+/* Digests the standard input and prints the result.
+ */
+static void MDFilter ()
+{
+ MD_CTX context;
+ int len;
+ unsigned char buffer[16], digest[16];
+
+ MDInit (&context);
+ while (len = fread (buffer, 1, 16, stdin))
+ MDUpdate (&context, buffer, len);
+ MDFinal (digest, &context);
+
+ MDPrint (digest);
+ printf ("\n");
+}
+
+/* Prints a message digest in hexadecimal.
+ */
+static void MDPrint (digest)
+unsigned char digest[16];
+
+{
+ unsigned int i;
+
+ for (i = 0; i < 16; i++)
+ printf ("%02x", digest[i]);
+}
+
+A.5 Test suite
+
+ The MD4 test suite (driver option "-x") should print the following
+ results:
+
+MD4 test suite:
+MD4 ("") = 31d6cfe0d16ae931b73c59d7e0c089c0
+MD4 ("a") = bde52cb31de33e46245e05fbdbd6fb24
+MD4 ("abc") = a448017aaf21d8525fc10ae87aa6729d
+MD4 ("message digest") = d9130a8164549fe818874806e1c7014b
+MD4 ("abcdefghijklmnopqrstuvwxyz") = d79e1c308aa5bbcdeea8ed63df412da9
+MD4 ("ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789") =
+043f8582f241db351ce627e153e7f0e4
+MD4 ("123456789012345678901234567890123456789012345678901234567890123456
+78901234567890") = e33b4ddc9c38f2199c3e7b164fcc0536
+
+
+
+Rivest [Page 19]
+
+RFC 1320 MD4 Message-Digest Algorithm April 1992
+
+
+Security Considerations
+
+ The level of security discussed in this memo is considered to be
+ sufficient for implementing moderate security hybrid digital-
+ signature schemes based on MD4 and a public-key cryptosystem. We do
+ not know of any reason that MD4 would not be sufficient for
+ implementing very high security digital-signature schemes, but
+ because MD4 was designed to be exceptionally fast, it is "at the
+ edge" in terms of risking successful cryptanalytic attack. After
+ further critical review, it may be appropriate to consider MD4 for
+ very high security applications. For very high security applications
+ before the completion of that review, the MD5 algorithm [4] is
+ recommended.
+
+Author's Address
+
+ Ronald L. Rivest
+ Massachusetts Institute of Technology
+ Laboratory for Computer Science
+ NE43-324
+ 545 Technology Square
+ Cambridge, MA 02139-1986
+
+ Phone: (617) 253-5880
+ EMail: rivest@theory.lcs.mit.edu
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Rivest [Page 20]
+ \ No newline at end of file