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/*************************************************************************** |
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TABLE.H -- Tables, macros, constants for Twofish S-boxes and MDS matrix |
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|
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Submitters: |
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Bruce Schneier, Counterpane Systems |
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Doug Whiting, Hi/fn |
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John Kelsey, Counterpane Systems |
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Chris Hall, Counterpane Systems |
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David Wagner, UC Berkeley |
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|
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Code Author: Doug Whiting, Hi/fn |
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|
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Version 1.00 April 1998 |
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|
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Copyright 1998, Hi/fn and Counterpane Systems. All rights reserved. |
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|
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Notes: |
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* Tab size is set to 4 characters in this file |
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* These definitions should be used in optimized and unoptimized |
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versions to insure consistency. |
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|
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***************************************************************************/ |
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|
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/* for computing subkeys */ |
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#define SK_STEP 0x02020202u |
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#define SK_BUMP 0x01010101u |
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#define SK_ROTL 9 |
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|
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/* Reed-Solomon code parameters: (12,8) reversible code |
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g(x) = x**4 + (a + 1/a) x**3 + a x**2 + (a + 1/a) x + 1 |
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where a = primitive root of field generator 0x14D */ |
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#define RS_GF_FDBK 0x14D /* field generator */ |
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#define RS_rem(x) \ |
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{ BYTE b = (BYTE) (x >> 24); \ |
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DWORD g2 = ((b << 1) ^ ((b & 0x80) ? RS_GF_FDBK : 0 )) & 0xFF; \ |
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DWORD g3 = ((b >> 1) & 0x7F) ^ ((b & 1) ? RS_GF_FDBK >> 1 : 0 ) ^ g2 ; \ |
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x = (x << 8) ^ (g3 << 24) ^ (g2 << 16) ^ (g3 << 8) ^ b; \ |
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} |
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|
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/* Macros for the MDS matrix |
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* The MDS matrix is (using primitive polynomial 169): |
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* 01 EF 5B 5B |
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* 5B EF EF 01 |
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* EF 5B 01 EF |
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* EF 01 EF 5B |
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*---------------------------------------------------------------- |
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* More statistical properties of this matrix (from MDS.EXE output): |
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* |
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* Min Hamming weight (one byte difference) = 8. Max=26. Total = 1020. |
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* Prob[8]: 7 23 42 20 52 95 88 94 121 128 91 |
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* 102 76 41 24 8 4 1 3 0 0 0 |
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* Runs[8]: 2 4 5 6 7 8 9 11 |
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* MSBs[8]: 1 4 15 8 18 38 40 43 |
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* HW= 8: 05040705 0A080E0A 14101C14 28203828 50407050 01499101 A080E0A0 |
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* HW= 9: 04050707 080A0E0E 10141C1C 20283838 40507070 80A0E0E0 C6432020 07070504 |
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* 0E0E0A08 1C1C1410 38382820 70705040 E0E0A080 202043C6 05070407 0A0E080E |
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* 141C101C 28382038 50704070 A0E080E0 4320C620 02924B02 089A4508 |
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* Min Hamming weight (two byte difference) = 3. Max=28. Total = 390150. |
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* Prob[3]: 7 18 55 149 270 914 2185 5761 11363 20719 32079 |
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* 43492 51612 53851 52098 42015 31117 20854 11538 6223 2492 1033 |
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* MDS OK, ROR: 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+ |
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* 17+ 18+ 19+ 20+ 21+ 22+ 23+ 24+ 25+ 26+ |
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*/ |
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#define MDS_GF_FDBK 0x169 /* primitive polynomial for GF(256) */ |
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#define LFSR1(x) ( ((x) >> 1) ^ (((x) & 0x01) ? MDS_GF_FDBK/2 : 0)) |
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#define LFSR2(x) ( ((x) >> 2) ^ (((x) & 0x02) ? MDS_GF_FDBK/2 : 0) \ |
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^ (((x) & 0x01) ? MDS_GF_FDBK/4 : 0)) |
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|
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#define Mx_1(x) ((DWORD) (x)) /* force result to dword so << will work */ |
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#define Mx_X(x) ((DWORD) ((x) ^ LFSR2(x))) /* 5B */ |
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#define Mx_Y(x) ((DWORD) ((x) ^ LFSR1(x) ^ LFSR2(x))) /* EF */ |
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|
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#define M00 Mul_1 |
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#define M01 Mul_Y |
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#define M02 Mul_X |
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#define M03 Mul_X |
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|
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#define M10 Mul_X |
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#define M11 Mul_Y |
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#define M12 Mul_Y |
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#define M13 Mul_1 |
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|
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#define M20 Mul_Y |
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#define M21 Mul_X |
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#define M22 Mul_1 |
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#define M23 Mul_Y |
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|
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#define M30 Mul_Y |
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#define M31 Mul_1 |
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#define M32 Mul_Y |
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#define M33 Mul_X |
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|
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#define Mul_1 Mx_1 |
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#define Mul_X Mx_X |
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#define Mul_Y Mx_Y |
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|
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/* Define the fixed p0/p1 permutations used in keyed S-box lookup. |
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By changing the following constant definitions for P_ij, the S-boxes will |
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automatically get changed in all the Twofish source code. Note that P_i0 is |
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the "outermost" 8x8 permutation applied. See the f32() function to see |
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how these constants are to be used. |
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*/ |
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#define P_00 1 /* "outermost" permutation */ |
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#define P_01 0 |
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#define P_02 0 |
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#define P_03 (P_01^1) /* "extend" to larger key sizes */ |
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#define P_04 1 |
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|
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#define P_10 0 |
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#define P_11 0 |
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#define P_12 1 |
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#define P_13 (P_11^1) |
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#define P_14 0 |
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|
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#define P_20 1 |
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#define P_21 1 |
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#define P_22 0 |
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#define P_23 (P_21^1) |
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#define P_24 0 |
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|
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#define P_30 0 |
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#define P_31 1 |
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#define P_32 1 |
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#define P_33 (P_31^1) |
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#define P_34 1 |
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|
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#define p8(N) P8x8[P_##N] /* some syntax shorthand */ |
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|
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/* fixed 8x8 permutation S-boxes */ |
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|
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/*********************************************************************** |
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* 07:07:14 05/30/98 [4x4] TestCnt=256. keySize=128. CRC=4BD14D9E. |
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* maxKeyed: dpMax = 18. lpMax =100. fixPt = 8. skXor = 0. skDup = 6. |
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* log2(dpMax[ 6..18])= --- 15.42 1.33 0.89 4.05 7.98 12.05 |
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* log2(lpMax[ 7..12])= 9.32 1.01 1.16 4.23 8.02 12.45 |
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* log2(fixPt[ 0.. 8])= 1.44 1.44 2.44 4.06 6.01 8.21 11.07 14.09 17.00 |
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* log2(skXor[ 0.. 0]) |
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* log2(skDup[ 0.. 6])= --- 2.37 0.44 3.94 8.36 13.04 17.99 |
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***********************************************************************/ |
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static CONST BYTE P8x8[2][256] = |
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{ |
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/* p0: */ |
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/* dpMax = 10. lpMax = 64. cycleCnt= 1 1 1 0. */ |
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/* 817D6F320B59ECA4.ECB81235F4A6709D.BA5E6D90C8F32471.D7F4126E9B3085CA. */ |
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/* Karnaugh maps: |
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* 0111 0001 0011 1010. 0001 1001 1100 1111. 1001 1110 0011 1110. 1101 0101 1111 1001. |
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* 0101 1111 1100 0100. 1011 0101 0010 0000. 0101 1000 1100 0101. 1000 0111 0011 0010. |
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* 0000 1001 1110 1101. 1011 1000 1010 0011. 0011 1001 0101 0000. 0100 0010 0101 1011. |
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* 0111 0100 0001 0110. 1000 1011 1110 1001. 0011 0011 1001 1101. 1101 0101 0000 1100. |
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*/ |
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{ |
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0xA9, 0x67, 0xB3, 0xE8, 0x04, 0xFD, 0xA3, 0x76, |
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0x9A, 0x92, 0x80, 0x78, 0xE4, 0xDD, 0xD1, 0x38, |
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0x0D, 0xC6, 0x35, 0x98, 0x18, 0xF7, 0xEC, 0x6C, |
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0x43, 0x75, 0x37, 0x26, 0xFA, 0x13, 0x94, 0x48, |
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0xF2, 0xD0, 0x8B, 0x30, 0x84, 0x54, 0xDF, 0x23, |
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0x19, 0x5B, 0x3D, 0x59, 0xF3, 0xAE, 0xA2, 0x82, |
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0x63, 0x01, 0x83, 0x2E, 0xD9, 0x51, 0x9B, 0x7C, |
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0xA6, 0xEB, 0xA5, 0xBE, 0x16, 0x0C, 0xE3, 0x61, |
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0xC0, 0x8C, 0x3A, 0xF5, 0x73, 0x2C, 0x25, 0x0B, |
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0xBB, 0x4E, 0x89, 0x6B, 0x53, 0x6A, 0xB4, 0xF1, |
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0xE1, 0xE6, 0xBD, 0x45, 0xE2, 0xF4, 0xB6, 0x66, |
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0xCC, 0x95, 0x03, 0x56, 0xD4, 0x1C, 0x1E, 0xD7, |
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0xFB, 0xC3, 0x8E, 0xB5, 0xE9, 0xCF, 0xBF, 0xBA, |
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0xEA, 0x77, 0x39, 0xAF, 0x33, 0xC9, 0x62, 0x71, |
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0x81, 0x79, 0x09, 0xAD, 0x24, 0xCD, 0xF9, 0xD8, |
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0xE5, 0xC5, 0xB9, 0x4D, 0x44, 0x08, 0x86, 0xE7, |
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0xA1, 0x1D, 0xAA, 0xED, 0x06, 0x70, 0xB2, 0xD2, |
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0x41, 0x7B, 0xA0, 0x11, 0x31, 0xC2, 0x27, 0x90, |
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0x20, 0xF6, 0x60, 0xFF, 0x96, 0x5C, 0xB1, 0xAB, |
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0x9E, 0x9C, 0x52, 0x1B, 0x5F, 0x93, 0x0A, 0xEF, |
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0x91, 0x85, 0x49, 0xEE, 0x2D, 0x4F, 0x8F, 0x3B, |
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0x47, 0x87, 0x6D, 0x46, 0xD6, 0x3E, 0x69, 0x64, |
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0x2A, 0xCE, 0xCB, 0x2F, 0xFC, 0x97, 0x05, 0x7A, |
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0xAC, 0x7F, 0xD5, 0x1A, 0x4B, 0x0E, 0xA7, 0x5A, |
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0x28, 0x14, 0x3F, 0x29, 0x88, 0x3C, 0x4C, 0x02, |
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0xB8, 0xDA, 0xB0, 0x17, 0x55, 0x1F, 0x8A, 0x7D, |
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0x57, 0xC7, 0x8D, 0x74, 0xB7, 0xC4, 0x9F, 0x72, |
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0x7E, 0x15, 0x22, 0x12, 0x58, 0x07, 0x99, 0x34, |
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0x6E, 0x50, 0xDE, 0x68, 0x65, 0xBC, 0xDB, 0xF8, |
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0xC8, 0xA8, 0x2B, 0x40, 0xDC, 0xFE, 0x32, 0xA4, |
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0xCA, 0x10, 0x21, 0xF0, 0xD3, 0x5D, 0x0F, 0x00, |
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0x6F, 0x9D, 0x36, 0x42, 0x4A, 0x5E, 0xC1, 0xE0 |
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}, |
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/* p1: */ |
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/* dpMax = 10. lpMax = 64. cycleCnt= 2 0 0 1. */ |
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/* 28BDF76E31940AC5.1E2B4C376DA5F908.4C75169A0ED82B3F.B951C3DE647F208A. */ |
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/* Karnaugh maps: |
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* 0011 1001 0010 0111. 1010 0111 0100 0110. 0011 0001 1111 0100. 1111 1000 0001 1100. |
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* 1100 1111 1111 1010. 0011 0011 1110 0100. 1001 0110 0100 0011. 0101 0110 1011 1011. |
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* 0010 0100 0011 0101. 1100 1000 1000 1110. 0111 1111 0010 0110. 0000 1010 0000 0011. |
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* 1101 1000 0010 0001. 0110 1001 1110 0101. 0001 0100 0101 0111. 0011 1011 1111 0010. |
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*/ |
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{ |
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0x75, 0xF3, 0xC6, 0xF4, 0xDB, 0x7B, 0xFB, 0xC8, |
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0x4A, 0xD3, 0xE6, 0x6B, 0x45, 0x7D, 0xE8, 0x4B, |
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0xD6, 0x32, 0xD8, 0xFD, 0x37, 0x71, 0xF1, 0xE1, |
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0x30, 0x0F, 0xF8, 0x1B, 0x87, 0xFA, 0x06, 0x3F, |
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0x5E, 0xBA, 0xAE, 0x5B, 0x8A, 0x00, 0xBC, 0x9D, |
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0x6D, 0xC1, 0xB1, 0x0E, 0x80, 0x5D, 0xD2, 0xD5, |
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0xA0, 0x84, 0x07, 0x14, 0xB5, 0x90, 0x2C, 0xA3, |
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0xB2, 0x73, 0x4C, 0x54, 0x92, 0x74, 0x36, 0x51, |
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0x38, 0xB0, 0xBD, 0x5A, 0xFC, 0x60, 0x62, 0x96, |
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0x6C, 0x42, 0xF7, 0x10, 0x7C, 0x28, 0x27, 0x8C, |
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0x13, 0x95, 0x9C, 0xC7, 0x24, 0x46, 0x3B, 0x70, |
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0xCA, 0xE3, 0x85, 0xCB, 0x11, 0xD0, 0x93, 0xB8, |
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0xA6, 0x83, 0x20, 0xFF, 0x9F, 0x77, 0xC3, 0xCC, |
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0x03, 0x6F, 0x08, 0xBF, 0x40, 0xE7, 0x2B, 0xE2, |
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0x79, 0x0C, 0xAA, 0x82, 0x41, 0x3A, 0xEA, 0xB9, |
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0xE4, 0x9A, 0xA4, 0x97, 0x7E, 0xDA, 0x7A, 0x17, |
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0x66, 0x94, 0xA1, 0x1D, 0x3D, 0xF0, 0xDE, 0xB3, |
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0x0B, 0x72, 0xA7, 0x1C, 0xEF, 0xD1, 0x53, 0x3E, |
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0x8F, 0x33, 0x26, 0x5F, 0xEC, 0x76, 0x2A, 0x49, |
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0x81, 0x88, 0xEE, 0x21, 0xC4, 0x1A, 0xEB, 0xD9, |
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0xC5, 0x39, 0x99, 0xCD, 0xAD, 0x31, 0x8B, 0x01, |
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0x18, 0x23, 0xDD, 0x1F, 0x4E, 0x2D, 0xF9, 0x48, |
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0x4F, 0xF2, 0x65, 0x8E, 0x78, 0x5C, 0x58, 0x19, |
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0x8D, 0xE5, 0x98, 0x57, 0x67, 0x7F, 0x05, 0x64, |
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0xAF, 0x63, 0xB6, 0xFE, 0xF5, 0xB7, 0x3C, 0xA5, |
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0xCE, 0xE9, 0x68, 0x44, 0xE0, 0x4D, 0x43, 0x69, |
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0x29, 0x2E, 0xAC, 0x15, 0x59, 0xA8, 0x0A, 0x9E, |
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0x6E, 0x47, 0xDF, 0x34, 0x35, 0x6A, 0xCF, 0xDC, |
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0x22, 0xC9, 0xC0, 0x9B, 0x89, 0xD4, 0xED, 0xAB, |
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0x12, 0xA2, 0x0D, 0x52, 0xBB, 0x02, 0x2F, 0xA9, |
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0xD7, 0x61, 0x1E, 0xB4, 0x50, 0x04, 0xF6, 0xC2, |
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0x16, 0x25, 0x86, 0x56, 0x55, 0x09, 0xBE, 0x91 |
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} |
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}; |
