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/* | ||
MD5 collision generator | ||
======================= | ||
Source code files: | ||
block0.cpp | ||
block1.cpp | ||
main.cpp | ||
main.hpp | ||
md5.cpp | ||
block1wang.cpp | ||
block1stevens00.cpp | ||
block1stevens01.cpp | ||
block1stevens10.cpp | ||
block1stevens11.cpp | ||
Win32 executable: | ||
fastcoll_v1.0.0.5.exe | ||
Version | ||
======= | ||
version 1.0.0.5-1, April 2006. | ||
Copyright | ||
========= | ||
© M. Stevens, 2006. All rights reserved. | ||
Disclaimer | ||
========== | ||
This software is provided as is. Use is at the user's risk. | ||
No guarantee whatsoever is given on how it may function or malfunction. | ||
Support cannot be expected. | ||
This software is meant for scientific and educational purposes only. | ||
It is forbidden to use it for other than scientific or educational purposes. | ||
In particular, commercial and malicious use is not allowed. | ||
Further distribution of this software, by whatever means, is not allowed | ||
without our consent. | ||
This includes publication of source code or executables in printed form, | ||
on websites, newsgroups, CD-ROM's, etc. | ||
Changing the (source) code without our consent is not allowed. | ||
In all versions of the source code this disclaimer, the copyright | ||
notice and the version number should be present. | ||
*/ | ||
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#include <iostream> | ||
#include <vector> | ||
#include "main.hpp" | ||
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uint32 seed32_1, seed32_2; | ||
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void find_block0(uint32 block[], const uint32 IV[]) | ||
{ | ||
uint32 Q[68] = { IV[0], IV[3], IV[2], IV[1] }; | ||
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std::vector<uint32> q4mask(1<<4); | ||
for (unsigned k = 0; k < q4mask.size(); ++k) | ||
q4mask[k] = ((k<<2) ^ (k<<26)) & 0x38000004; | ||
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std::vector<uint32> q9q10mask(1<<3); | ||
for (unsigned k = 0; k < q9q10mask.size(); ++k) | ||
q9q10mask[k] = ((k<<13) ^ (k<<4)) & 0x2060; | ||
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std::vector<uint32> q9mask(1<<16); | ||
for (unsigned k = 0; k < q9mask.size(); ++k) | ||
q9mask[k] = ((k<<1) ^ (k<<2) ^ (k<<5) ^ (k<<7) ^ (k<<8) ^ (k<<10) ^ (k<<11) ^ (k<<13)) & 0x0eb94f16; | ||
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while (true) | ||
{ | ||
Q[Qoff + 1] = xrng64(); | ||
Q[Qoff + 3] = (xrng64() & 0xfe87bc3f) | 0x017841c0; | ||
Q[Qoff + 4] = (xrng64() & 0x44000033) | 0x000002c0 | (Q[Qoff + 3] & 0x0287bc00); | ||
Q[Qoff + 5] = 0x41ffffc8 | (Q[Qoff + 4] & 0x04000033); | ||
Q[Qoff + 6] = 0xb84b82d6; | ||
Q[Qoff + 7] = (xrng64() & 0x68000084) | 0x02401b43; | ||
Q[Qoff + 8] = (xrng64() & 0x2b8f6e04) | 0x005090d3 | (~Q[Qoff + 7] & 0x40000000); | ||
Q[Qoff + 9] = 0x20040068 | (Q[Qoff + 8] & 0x00020000) | (~Q[Qoff + 8] & 0x40000000); | ||
Q[Qoff + 10] = (xrng64() & 0x40000000) | 0x1040b089; | ||
Q[Qoff + 11] = (xrng64() & 0x10408008) | 0x0fbb7f16 | (~Q[Qoff + 10] & 0x40000000); | ||
Q[Qoff + 12] = (xrng64() & 0x1ed9df7f) | 0x00022080 | (~Q[Qoff + 11] & 0x40200000); | ||
Q[Qoff + 13] = (xrng64() & 0x5efb4f77) | 0x20049008; | ||
Q[Qoff + 14] = (xrng64() & 0x1fff5f77) | 0x0000a088 | (~Q[Qoff + 13] & 0x40000000); | ||
Q[Qoff + 15] = (xrng64() & 0x5efe7ff7) | 0x80008000 | (~Q[Qoff + 14] & 0x00010000); | ||
Q[Qoff + 16] = (xrng64() & 0x1ffdffff) | 0xa0000000 | (~Q[Qoff + 15] & 0x40020000); | ||
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MD5_REVERSE_STEP(0, 0xd76aa478, 7); | ||
MD5_REVERSE_STEP(6, 0xa8304613, 17); | ||
MD5_REVERSE_STEP(7, 0xfd469501, 22); | ||
MD5_REVERSE_STEP(11, 0x895cd7be, 22); | ||
MD5_REVERSE_STEP(14, 0xa679438e, 17); | ||
MD5_REVERSE_STEP(15, 0x49b40821, 22); | ||
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const uint32 tt1 = FF(Q[Qoff + 1], Q[Qoff + 0], Q[Qoff - 1]) + Q[Qoff - 2] + 0xe8c7b756; | ||
const uint32 tt17 = GG(Q[Qoff + 16], Q[Qoff + 15], Q[Qoff + 14]) + Q[Qoff + 13] + 0xf61e2562; | ||
const uint32 tt18 = Q[Qoff + 14] + 0xc040b340 + block[6]; | ||
const uint32 tt19 = Q[Qoff + 15] + 0x265e5a51 + block[11]; | ||
const uint32 tt20 = Q[Qoff + 16] + 0xe9b6c7aa + block[0]; | ||
const uint32 tt5 = RR(Q[Qoff + 6] - Q[Qoff + 5], 12) - FF(Q[Qoff + 5], Q[Qoff + 4], Q[Qoff + 3]) - 0x4787c62a; | ||
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// change q17 until conditions are met on q18, q19 and q20 | ||
unsigned counter = 0; | ||
while (counter < (1 << 7)) | ||
{ | ||
const uint32 q16 = Q[Qoff + 16]; | ||
uint32 q17 = ((xrng64() & 0x3ffd7ff7) | (q16&0xc0008008)) ^ 0x40000000; | ||
++counter; | ||
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uint32 q18 = GG(q17, q16, Q[Qoff + 15]) + tt18; | ||
q18 = RL(q18, 9); q18 += q17; | ||
if (0x00020000 != ((q18^q17)&0xa0020000)) | ||
continue; | ||
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uint32 q19 = GG(q18, q17, q16) + tt19; | ||
q19 = RL(q19, 14); q19 += q18; | ||
if (0x80000000 != (q19 & 0x80020000)) | ||
continue; | ||
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uint32 q20 = GG(q19, q18, q17) + tt20; | ||
q20 = RL(q20, 20); q20 += q19; | ||
if (0x00040000 != ((q20^q19) & 0x80040000)) | ||
continue; | ||
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block[1] = q17-q16; block[1] = RR(block[1], 5); block[1] -= tt17; | ||
uint32 q2 = block[1] + tt1; q2 = RL(q2, 12); q2 += Q[Qoff + 1]; | ||
block[5] = tt5 - q2; | ||
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Q[Qoff + 2] = q2; | ||
Q[Qoff + 17] = q17; | ||
Q[Qoff + 18] = q18; | ||
Q[Qoff + 19] = q19; | ||
Q[Qoff + 20] = q20; | ||
MD5_REVERSE_STEP(2, 0x242070db, 17); | ||
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counter = 0; | ||
break; | ||
} | ||
if (counter != 0) | ||
continue; | ||
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const uint32 q4 = Q[Qoff + 4]; | ||
const uint32 q9backup = Q[Qoff + 9]; | ||
const uint32 tt21 = GG(Q[Qoff+20], Q[Qoff+19], Q[Qoff+18]) + Q[Qoff+17] + 0xd62f105d; | ||
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// iterate over possible changes of q4 | ||
// while keeping all conditions on q1-q20 intact | ||
// this changes m3, m4, m5 and m7 | ||
unsigned counter2 = 0; | ||
while (counter2 < (1<<4)) | ||
{ | ||
Q[Qoff+4] = q4 ^ q4mask[counter2]; | ||
++counter2; | ||
MD5_REVERSE_STEP(5, 0x4787c62a, 12); | ||
uint32 q21 = tt21 + block[5]; | ||
q21 = RL(q21,5); q21 += Q[Qoff+20]; | ||
if (0 != ((q21^Q[Qoff+20]) & 0x80020000)) | ||
continue; | ||
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Q[Qoff + 21] = q21; | ||
MD5_REVERSE_STEP(3, 0xc1bdceee, 22); | ||
MD5_REVERSE_STEP(4, 0xf57c0faf, 7); | ||
MD5_REVERSE_STEP(7, 0xfd469501, 22); | ||
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const uint32 tt22 = GG(Q[Qoff + 21], Q[Qoff + 20], Q[Qoff + 19]) + Q[Qoff + 18] + 0x02441453; | ||
const uint32 tt23 = Q[Qoff + 19] + 0xd8a1e681 + block[15]; | ||
const uint32 tt24 = Q[Qoff + 20] + 0xe7d3fbc8 + block[4]; | ||
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const uint32 tt9 = Q[Qoff + 6] + 0x8b44f7af; | ||
const uint32 tt10 = Q[Qoff + 7] + 0xffff5bb1; | ||
const uint32 tt8 = FF(Q[Qoff + 8], Q[Qoff + 7], Q[Qoff + 6]) + Q[Qoff + 5] + 0x698098d8; | ||
const uint32 tt12 = RR(Q[Qoff+13]-Q[Qoff+12],7) - 0x6b901122; | ||
const uint32 tt13 = RR(Q[Qoff+14]-Q[Qoff+13],12) - FF(Q[Qoff+13],Q[Qoff+12],Q[Qoff+11]) - 0xfd987193; | ||
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// iterate over possible changes of q9 and q10 | ||
// while keeping conditions on q1-q21 intact | ||
// this changes m8, m9, m10, m12 and m13 (and not m11!) | ||
// the possible changes of q9 that also do not change m10 are used below | ||
for (unsigned counter3 = 0; counter3 < (1<<3);) | ||
{ | ||
uint32 q10 = Q[Qoff+10] ^ (q9q10mask[counter3] & 0x60); | ||
Q[Qoff + 9] = q9backup ^ (q9q10mask[counter3] & 0x2000); | ||
++counter3; | ||
uint32 m10 = RR(Q[Qoff+11]-q10,17); | ||
m10 -= FF(q10, Q[Qoff+9], Q[Qoff+8]) + tt10; | ||
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uint32 aa = Q[Qoff + 21]; | ||
uint32 dd = tt22+m10; dd = RL(dd, 9) + aa; | ||
if (0x80000000 != (dd & 0x80000000)) continue; | ||
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uint32 bb = Q[Qoff + 20]; | ||
uint32 cc = tt23 + GG(dd, aa, bb); | ||
if (0 != (cc & 0x20000)) continue; | ||
cc = RL(cc, 14) + dd; | ||
if (0 != (cc & 0x80000000)) continue; | ||
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bb = tt24 + GG(cc, dd, aa); bb = RL(bb, 20) + cc; | ||
if (0 == (bb & 0x80000000)) continue; | ||
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block[10] = m10; | ||
block[13] = tt13 - q10; | ||
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// iterate over possible changes of q9 | ||
// while keeping intact conditions on q1-q24 | ||
// this changes m8, m9 and m12 (but not m10!) | ||
for (unsigned counter4 = 0; counter4 < (1<<16); ++counter4) | ||
{ | ||
uint32 q9 = Q[Qoff + 9] ^ q9mask[counter4]; | ||
block[12] = tt12 - FF(Q[Qoff + 12], Q[Qoff + 11], q10) - q9; | ||
uint32 m8 = q9 - Q[Qoff + 8]; | ||
block[8] = RR(m8, 7) - tt8; | ||
uint32 m9 = q10 - q9; | ||
block[9] = RR(m9, 12) - FF(q9, Q[Qoff + 8], Q[Qoff + 7]) - tt9; | ||
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uint32 a = aa, b = bb, c = cc, d = dd; | ||
MD5_STEP(GG, a, b, c, d, block[9], 0x21e1cde6, 5); | ||
MD5_STEP(GG, d, a, b, c, block[14], 0xc33707d6, 9); | ||
MD5_STEP(GG, c, d, a, b, block[3], 0xf4d50d87, 14); | ||
MD5_STEP(GG, b, c, d, a, block[8], 0x455a14ed, 20); | ||
MD5_STEP(GG, a, b, c, d, block[13], 0xa9e3e905, 5); | ||
MD5_STEP(GG, d, a, b, c, block[2], 0xfcefa3f8, 9); | ||
MD5_STEP(GG, c, d, a, b, block[7], 0x676f02d9, 14); | ||
MD5_STEP(GG, b, c, d, a, block[12], 0x8d2a4c8a, 20); | ||
MD5_STEP(HH, a, b, c, d, block[5], 0xfffa3942, 4); | ||
MD5_STEP(HH, d, a, b, c, block[8], 0x8771f681, 11); | ||
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c += HH(d, a, b) + block[11] + 0x6d9d6122; | ||
if (0 != (c & (1 << 15))) | ||
continue; | ||
c = (c<<16 | c>>16) + d; | ||
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MD5_STEP(HH, b, c, d, a, block[14], 0xfde5380c, 23); | ||
MD5_STEP(HH, a, b, c, d, block[1], 0xa4beea44, 4); | ||
MD5_STEP(HH, d, a, b, c, block[4], 0x4bdecfa9, 11); | ||
MD5_STEP(HH, c, d, a, b, block[7], 0xf6bb4b60, 16); | ||
MD5_STEP(HH, b, c, d, a, block[10], 0xbebfbc70, 23); | ||
MD5_STEP(HH, a, b, c, d, block[13], 0x289b7ec6, 4); | ||
MD5_STEP(HH, d, a, b, c, block[0], 0xeaa127fa, 11); | ||
MD5_STEP(HH, c, d, a, b, block[3], 0xd4ef3085, 16); | ||
MD5_STEP(HH, b, c, d, a, block[6], 0x04881d05, 23); | ||
MD5_STEP(HH, a, b, c, d, block[9], 0xd9d4d039, 4); | ||
MD5_STEP(HH, d, a, b, c, block[12], 0xe6db99e5, 11); | ||
MD5_STEP(HH, c, d, a, b, block[15], 0x1fa27cf8, 16); | ||
MD5_STEP(HH, b, c, d, a, block[2], 0xc4ac5665, 23); | ||
if (0 != ((b^d) & 0x80000000)) | ||
continue; | ||
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MD5_STEP(II, a, b, c, d, block[0], 0xf4292244, 6); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, d, a, b, c, block[7], 0x432aff97, 10); | ||
if (0 == ((b^d) >> 31)) continue; | ||
MD5_STEP(II, c, d, a, b, block[14], 0xab9423a7, 15); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, b, c, d, a, block[5], 0xfc93a039, 21); | ||
if (0 != ((b^d) >> 31)) continue; | ||
MD5_STEP(II, a, b, c, d, block[12], 0x655b59c3, 6); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, d, a, b, c, block[3], 0x8f0ccc92, 10); | ||
if (0 != ((b^d) >> 31)) continue; | ||
MD5_STEP(II, c, d, a, b, block[10], 0xffeff47d, 15); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, b, c, d, a, block[1], 0x85845dd1, 21); | ||
if (0 != ((b^d) >> 31)) continue; | ||
MD5_STEP(II, a, b, c, d, block[8], 0x6fa87e4f, 6); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, d, a, b, c, block[15], 0xfe2ce6e0, 10); | ||
if (0 != ((b^d) >> 31)) continue; | ||
MD5_STEP(II, c, d, a, b, block[6], 0xa3014314, 15); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, b, c, d, a, block[13], 0x4e0811a1, 21); | ||
if (0 == ((b^d) >> 31)) continue; | ||
MD5_STEP(II, a, b, c, d, block[4], 0xf7537e82, 6); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, d, a, b, c, block[11], 0xbd3af235, 10); | ||
if (0 != ((b^d) >> 31)) continue; | ||
MD5_STEP(II, c, d, a, b, block[2], 0x2ad7d2bb, 15); | ||
if (0 != ((a^c) >> 31)) continue; | ||
MD5_STEP(II, b, c, d, a, block[9], 0xeb86d391, 21); | ||
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uint32 IHV1 = b + IV[1]; | ||
uint32 IHV2 = c + IV[2]; | ||
uint32 IHV3 = d + IV[3]; | ||
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bool wang = true; | ||
if (0x02000000 != ((IHV2^IHV1) & 0x86000000)) wang = false; | ||
if (0 != ((IHV1^IHV3) & 0x82000000)) wang = false; | ||
if (0 != (IHV1 & 0x06000020)) wang = false; | ||
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bool stevens = true; | ||
if ( ((IHV1^IHV2)>>31)!=0 || ((IHV1^IHV3)>>31)!= 0 ) stevens = false; | ||
if ( (IHV3&(1<<25))!=0 || (IHV2&(1<<25))!=0 || (IHV1&(1<<25))!=0 | ||
|| ((IHV2^IHV1)&1)!=0) stevens = false; | ||
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if (!(wang || stevens)) continue; | ||
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std::cout << "." << std::flush; | ||
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uint32 IV1[4], IV2[4]; | ||
for (int t = 0; t < 4; ++t) | ||
IV2[t] = IV1[t] = IV[t]; | ||
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uint32 block2[16]; | ||
for (int t = 0; t < 16; ++t) | ||
block2[t] = block[t]; | ||
block2[4] += 1<<31; | ||
block2[11] += 1<<15; | ||
block2[14] += 1<<31; | ||
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md5_compress(IV1, block); | ||
md5_compress(IV2, block2); | ||
if ( (IV2[0] == IV1[0] + (1<<31)) | ||
&& (IV2[1] == IV1[1] + (1<<31) + (1<<25)) | ||
&& (IV2[2] == IV1[2] + (1<<31) + (1<<25)) | ||
&& (IV2[3] == IV1[3] + (1<<31) + (1<<25))) | ||
return; | ||
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if (IV2[0] != IV1[0] + (1<<31)) | ||
std::cout << "!" << std::flush; | ||
} | ||
} | ||
} | ||
} | ||
} |
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