thig_table.h

Go to the documentation of this file.

/* for computing subkeys */
#define SK_STEP         0x02020202u
#define SK_BUMP         0x01010101u
#define SK_ROTL         9

/* Reed-Solomon code parameters: (12,8) reversible code
    g(x) = x**4 + (a + 1/a) x**3 + a x**2 + (a + 1/a) x + 1
   where a = primitive root of field generator 0x14D */
#define RS_GF_FDBK      0x14D       /* field generator */
#define RS_rem(x)       \
    { BYTE  b  = (BYTE) (x >> 24);                                           \
      DWORD g2 = ((b << 1) ^ ((b & 0x80) ? RS_GF_FDBK : 0 )) & 0xFF;         \
      DWORD g3 = ((b >> 1) & 0x7F) ^ ((b & 1) ? RS_GF_FDBK >> 1 : 0 ) ^ g2 ; \
      x = (x << 8) ^ (g3 << 24) ^ (g2 << 16) ^ (g3 << 8) ^ b;                \
    }

/*  Macros for the MDS matrix
*   The MDS matrix is (using primitive polynomial 169):
*      01  EF  5B  5B
*      5B  EF  EF  01
*      EF  5B  01  EF
*      EF  01  EF  5B
*----------------------------------------------------------------
* More statistical properties of this matrix (from MDS.EXE output):
*
* Min Hamming weight (one byte difference) =  8. Max=26.  Total =  1020.
* Prob[8]:      7    23    42    20    52    95    88    94   121   128    91
*             102    76    41    24     8     4     1     3     0     0     0
* Runs[8]:      2     4     5     6     7     8     9    11
* MSBs[8]:      1     4    15     8    18    38    40    43
* HW= 8: 05040705 0A080E0A 14101C14 28203828 50407050 01499101 A080E0A0 
* HW= 9: 04050707 080A0E0E 10141C1C 20283838 40507070 80A0E0E0 C6432020 07070504 
*        0E0E0A08 1C1C1410 38382820 70705040 E0E0A080 202043C6 05070407 0A0E080E 
*        141C101C 28382038 50704070 A0E080E0 4320C620 02924B02 089A4508 
* Min Hamming weight (two byte difference) =  3. Max=28.  Total = 390150.
* Prob[3]:      7    18    55   149   270   914  2185  5761 11363 20719 32079
*           43492 51612 53851 52098 42015 31117 20854 11538  6223  2492  1033
* MDS OK, ROR:   6+  7+  8+  9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+
*               17+ 18+ 19+ 20+ 21+ 22+ 23+ 24+ 25+ 26+
*/
#define MDS_GF_FDBK     0x169   
#define LFSR1(x) ( ((x) >> 1)  ^ (((x) & 0x01) ?   MDS_GF_FDBK/2 : 0))
#define LFSR2(x) ( ((x) >> 2)  ^ (((x) & 0x02) ?   MDS_GF_FDBK/2 : 0)  \
                               ^ (((x) & 0x01) ?   MDS_GF_FDBK/4 : 0))

#define Mx_1(x) ((DWORD)  (x))      /* force result to dword so << will work */
#define Mx_X(x) ((DWORD) ((x) ^            LFSR2(x)))   /* 5B */
#define Mx_Y(x) ((DWORD) ((x) ^ LFSR1(x) ^ LFSR2(x)))   /* EF */

#define M00     Mul_1
#define M01     Mul_Y
#define M02     Mul_X
#define M03     Mul_X

#define M10     Mul_X
#define M11     Mul_Y
#define M12     Mul_Y
#define M13     Mul_1

#define M20     Mul_Y
#define M21     Mul_X
#define M22     Mul_1
#define M23     Mul_Y

#define M30     Mul_Y
#define M31     Mul_1
#define M32     Mul_Y
#define M33     Mul_X

#define Mul_1   Mx_1
#define Mul_X   Mx_X
#define Mul_Y   Mx_Y

#define P_00    1                   
#define P_01    0
#define P_02    0
#define P_03    (P_01^1)            
#define P_04    1

#define P_10    0
#define P_11    0
#define P_12    1
#define P_13    (P_11^1)
#define P_14    0

#define P_20    1
#define P_21    1
#define P_22    0
#define P_23    (P_21^1)
#define P_24    0

#define P_30    0
#define P_31    1
#define P_32    1
#define P_33    (P_31^1)
#define P_34    1

#define p8(N)   P8x8[P_##N]         /* some syntax shorthand */

/*
 * **********************************************************************
*  07:07:14  05/30/98  [4x4]  TestCnt=256. keySize=128. CRC=4BD14D9E.
* maxKeyed:  dpMax = 18. lpMax =100. fixPt =  8. skXor =  0. skDup =  6. 
* log2(dpMax[ 6..18])=   --- 15.42  1.33  0.89  4.05  7.98 12.05
* log2(lpMax[ 7..12])=  9.32  1.01  1.16  4.23  8.02 12.45
* log2(fixPt[ 0.. 8])=  1.44  1.44  2.44  4.06  6.01  8.21 11.07 14.09 17.00
* log2(skXor[ 0.. 0])
* log2(skDup[ 0.. 6])=   ---  2.37  0.44  3.94  8.36 13.04 17.99
***********************************************************************/
CONST BYTE P8x8[2][256]=
    {
/*  p0:   */
/*  dpMax      = 10.  lpMax      = 64.  cycleCnt=   1  1  1  0.         */
/* 817D6F320B59ECA4.ECB81235F4A6709D.BA5E6D90C8F32471.D7F4126E9B3085CA. */
/* Karnaugh maps:
*  0111 0001 0011 1010. 0001 1001 1100 1111. 1001 1110 0011 1110. 1101 0101 1111 1001. 
*  0101 1111 1100 0100. 1011 0101 0010 0000. 0101 1000 1100 0101. 1000 0111 0011 0010. 
*  0000 1001 1110 1101. 1011 1000 1010 0011. 0011 1001 0101 0000. 0100 0010 0101 1011. 
*  0111 0100 0001 0110. 1000 1011 1110 1001. 0011 0011 1001 1101. 1101 0101 0000 1100. 
*/
    {
    0xA9, 0x67, 0xB3, 0xE8, 0x04, 0xFD, 0xA3, 0x76, 
    0x9A, 0x92, 0x80, 0x78, 0xE4, 0xDD, 0xD1, 0x38, 
    0x0D, 0xC6, 0x35, 0x98, 0x18, 0xF7, 0xEC, 0x6C, 
    0x43, 0x75, 0x37, 0x26, 0xFA, 0x13, 0x94, 0x48, 
    0xF2, 0xD0, 0x8B, 0x30, 0x84, 0x54, 0xDF, 0x23, 
    0x19, 0x5B, 0x3D, 0x59, 0xF3, 0xAE, 0xA2, 0x82, 
    0x63, 0x01, 0x83, 0x2E, 0xD9, 0x51, 0x9B, 0x7C, 
    0xA6, 0xEB, 0xA5, 0xBE, 0x16, 0x0C, 0xE3, 0x61, 
    0xC0, 0x8C, 0x3A, 0xF5, 0x73, 0x2C, 0x25, 0x0B, 
    0xBB, 0x4E, 0x89, 0x6B, 0x53, 0x6A, 0xB4, 0xF1, 
    0xE1, 0xE6, 0xBD, 0x45, 0xE2, 0xF4, 0xB6, 0x66, 
    0xCC, 0x95, 0x03, 0x56, 0xD4, 0x1C, 0x1E, 0xD7, 
    0xFB, 0xC3, 0x8E, 0xB5, 0xE9, 0xCF, 0xBF, 0xBA, 
    0xEA, 0x77, 0x39, 0xAF, 0x33, 0xC9, 0x62, 0x71, 
    0x81, 0x79, 0x09, 0xAD, 0x24, 0xCD, 0xF9, 0xD8, 
    0xE5, 0xC5, 0xB9, 0x4D, 0x44, 0x08, 0x86, 0xE7, 
    0xA1, 0x1D, 0xAA, 0xED, 0x06, 0x70, 0xB2, 0xD2, 
    0x41, 0x7B, 0xA0, 0x11, 0x31, 0xC2, 0x27, 0x90, 
    0x20, 0xF6, 0x60, 0xFF, 0x96, 0x5C, 0xB1, 0xAB, 
    0x9E, 0x9C, 0x52, 0x1B, 0x5F, 0x93, 0x0A, 0xEF, 
    0x91, 0x85, 0x49, 0xEE, 0x2D, 0x4F, 0x8F, 0x3B, 
    0x47, 0x87, 0x6D, 0x46, 0xD6, 0x3E, 0x69, 0x64, 
    0x2A, 0xCE, 0xCB, 0x2F, 0xFC, 0x97, 0x05, 0x7A, 
    0xAC, 0x7F, 0xD5, 0x1A, 0x4B, 0x0E, 0xA7, 0x5A, 
    0x28, 0x14, 0x3F, 0x29, 0x88, 0x3C, 0x4C, 0x02, 
    0xB8, 0xDA, 0xB0, 0x17, 0x55, 0x1F, 0x8A, 0x7D, 
    0x57, 0xC7, 0x8D, 0x74, 0xB7, 0xC4, 0x9F, 0x72, 
    0x7E, 0x15, 0x22, 0x12, 0x58, 0x07, 0x99, 0x34, 
    0x6E, 0x50, 0xDE, 0x68, 0x65, 0xBC, 0xDB, 0xF8, 
    0xC8, 0xA8, 0x2B, 0x40, 0xDC, 0xFE, 0x32, 0xA4, 
    0xCA, 0x10, 0x21, 0xF0, 0xD3, 0x5D, 0x0F, 0x00, 
    0x6F, 0x9D, 0x36, 0x42, 0x4A, 0x5E, 0xC1, 0xE0
    },
/*  p1:   */
/*  dpMax      = 10.  lpMax      = 64.  cycleCnt=   2  0  0  1.         */
/* 28BDF76E31940AC5.1E2B4C376DA5F908.4C75169A0ED82B3F.B951C3DE647F208A. */
/* Karnaugh maps:
*  0011 1001 0010 0111. 1010 0111 0100 0110. 0011 0001 1111 0100. 1111 1000 0001 1100. 
*  1100 1111 1111 1010. 0011 0011 1110 0100. 1001 0110 0100 0011. 0101 0110 1011 1011. 
*  0010 0100 0011 0101. 1100 1000 1000 1110. 0111 1111 0010 0110. 0000 1010 0000 0011. 
*  1101 1000 0010 0001. 0110 1001 1110 0101. 0001 0100 0101 0111. 0011 1011 1111 0010. 
*/
    {
    0x75, 0xF3, 0xC6, 0xF4, 0xDB, 0x7B, 0xFB, 0xC8, 
    0x4A, 0xD3, 0xE6, 0x6B, 0x45, 0x7D, 0xE8, 0x4B, 
    0xD6, 0x32, 0xD8, 0xFD, 0x37, 0x71, 0xF1, 0xE1, 
    0x30, 0x0F, 0xF8, 0x1B, 0x87, 0xFA, 0x06, 0x3F, 
    0x5E, 0xBA, 0xAE, 0x5B, 0x8A, 0x00, 0xBC, 0x9D, 
    0x6D, 0xC1, 0xB1, 0x0E, 0x80, 0x5D, 0xD2, 0xD5, 
    0xA0, 0x84, 0x07, 0x14, 0xB5, 0x90, 0x2C, 0xA3, 
    0xB2, 0x73, 0x4C, 0x54, 0x92, 0x74, 0x36, 0x51, 
    0x38, 0xB0, 0xBD, 0x5A, 0xFC, 0x60, 0x62, 0x96, 
    0x6C, 0x42, 0xF7, 0x10, 0x7C, 0x28, 0x27, 0x8C, 
    0x13, 0x95, 0x9C, 0xC7, 0x24, 0x46, 0x3B, 0x70, 
    0xCA, 0xE3, 0x85, 0xCB, 0x11, 0xD0, 0x93, 0xB8, 
    0xA6, 0x83, 0x20, 0xFF, 0x9F, 0x77, 0xC3, 0xCC, 
    0x03, 0x6F, 0x08, 0xBF, 0x40, 0xE7, 0x2B, 0xE2, 
    0x79, 0x0C, 0xAA, 0x82, 0x41, 0x3A, 0xEA, 0xB9, 
    0xE4, 0x9A, 0xA4, 0x97, 0x7E, 0xDA, 0x7A, 0x17, 
    0x66, 0x94, 0xA1, 0x1D, 0x3D, 0xF0, 0xDE, 0xB3, 
    0x0B, 0x72, 0xA7, 0x1C, 0xEF, 0xD1, 0x53, 0x3E, 
    0x8F, 0x33, 0x26, 0x5F, 0xEC, 0x76, 0x2A, 0x49, 
    0x81, 0x88, 0xEE, 0x21, 0xC4, 0x1A, 0xEB, 0xD9, 
    0xC5, 0x39, 0x99, 0xCD, 0xAD, 0x31, 0x8B, 0x01, 
    0x18, 0x23, 0xDD, 0x1F, 0x4E, 0x2D, 0xF9, 0x48, 
    0x4F, 0xF2, 0x65, 0x8E, 0x78, 0x5C, 0x58, 0x19, 
    0x8D, 0xE5, 0x98, 0x57, 0x67, 0x7F, 0x05, 0x64, 
    0xAF, 0x63, 0xB6, 0xFE, 0xF5, 0xB7, 0x3C, 0xA5, 
    0xCE, 0xE9, 0x68, 0x44, 0xE0, 0x4D, 0x43, 0x69, 
    0x29, 0x2E, 0xAC, 0x15, 0x59, 0xA8, 0x0A, 0x9E, 
    0x6E, 0x47, 0xDF, 0x34, 0x35, 0x6A, 0xCF, 0xDC, 
    0x22, 0xC9, 0xC0, 0x9B, 0x89, 0xD4, 0xED, 0xAB, 
    0x12, 0xA2, 0x0D, 0x52, 0xBB, 0x02, 0x2F, 0xA9, 
    0xD7, 0x61, 0x1E, 0xB4, 0x50, 0x04, 0xF6, 0xC2, 
    0x16, 0x25, 0x86, 0x56, 0x55, 0x09, 0xBE, 0x91
    }
    };

---