#include #include #include const int R_PARAM = 5; int dummy = 0; /* next unused dummy variable index */ int rel_count = 0; /* relation number */ int y_count = 0; /*intermediate variable number*/ int abs(int x) { return (x < 0 ? (-x) : x); }; // names of variables // K_0 to K_15 cells of the key (in this program) // T_0 to T_15 cells of the tweak (not in this program) // X_0_r to X_15_r cells of state at beginning of round r (or end of previous round) // Y_0_r to Y_n_r cells of state after roundtweakey addition in round r (not in this program) // ShuffleCells permutation (we use the MIDORI permutation) // 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11, 12,13,14,15 const int SHUFFLE_P[16] = { 0,11, 6,13, 10, 1,12, 7, 5,14, 3, 8, 15, 4, 9, 2 }; const int SHUFFLE_P_inv[16] = { 0, 5,15,10, 13, 8, 2, 7, 11,14, 4, 1, 6, 3, 9,12 }; // 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11, 12,13,14,15 const int IDENTITY[16] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11, 12,13,14,15 }; // In the internal state matrix the data is stored as follows // // 0 1 2 3 // 4 5 6 7 // 8 9 10 11 // 12 13 14 15 #define printrelheader() printf(" R%d: ",rel_count++) //sigma_0 //const int Convex[27][9] = { { 3, 2, 4, 3, 1, -2, -1, -2, 0 }, //{ 1, -2, -1, -2, 3, 2, 4, 3, 0 }, //{ -1, 0, -1, -1, 0, 1, 0, 0, 2 }, //{ 0, 1, 0, 0, -1, 0, -1, -1, 2 }, //{ -1, -4, 2, 1, 4, -2, 2, 1, 3 }, //{ 3, -2, 1, -1, -2, -2, 1, 2, 4 }, //{ -1, -1, -3, 3, -2, -2, 3, -1, 7 }, //{ 3, 3, 1, 2, -2, 1, -1, 1, 0 }, //{ -2, 1, -1, 1, 3, 3, 1, 2, 0 }, //{ -2, -2, 3, -1, -1, -1, -3, 3, 7 }, //{ -3, 1, -1, -2, 2, 2, 1, -1, 4 }, //{ 2, 2, 1, -1, -3, 1, -1, -2, 4 }, //{ 1, 1, -1, 1, 1, -2, -2, 1, 3 }, //{ -2, -1, 2, 2, -1, 2, 1, 1, 2 }, //{ 0, -1, -1, 1, 1, 1, -1, 0, 2 }, //{ -2, -1, 1, -1, 1, -1, -1, 2, 4 }, //{ 1, -1, -1, 2, -2, -1, 1, -1, 4 }, //{ 0, 1, 1, 0, -1, -1, 1, 1, 1 }, //{ 1, 0, -1, -1, -1, -1, -1, 1, 4 }, //{ 0, 0, -1, -1, -1, 1, 1, -1, 3 }, //{ 1, 2, 2, 1, 1, -2, -1, -2, 2 }, //{ 2, 1, -1, 2, -2, 1, -1, 1, 2 }, //{ 1, 1, -1, -1, 1, -1, 1, 0, 2 }, //{ 0, 2, -1, -1, -1, 1, -1, -2, 4 }, //{ 1, -1, -1, -1, 1, -1, -1, -1, 5 }, //{ -1, -1, -1, 1, 1, 0, -1, -1, 4 }, //{ 1, -1, 1, -1, 0, 1, -1, -1, 3 } }; //sigma1 const int Convex[35][9] = { { 0, -1, -1, 0, 2, 1, 1, 2, 0 }, { 1, 2, 2, 1, -1, 0, 0, -1, 0 }, { 1, 0, 0, 1, 0, -1, -1, 0, 1 }, { -1, 0, 0, -1, 0, 1, 1, 0, 1 }, { 1, -3, -3, 1, 2, 1, -2, 1, 5 }, { 1, 2, 1, -2, -3, 1, 1, -3, 5 }, { -1, 1, 1, -2, 1, 2, -1, -2, 4 }, { -2, 2, 1, 2, -3, 1, -1, -3, 6 }, { -2, -2, 2, 2, 1, -2, 1, -1, 5 }, { 2, 1, -2, -1, 1, -1, -2, 1, 4 }, { 3, 3, 2, 4, 1, -1, -2, -1, 0 }, { -1, -1, 1, -2, 3, 4, 3, 2, 0 }, { -3, 1, -1, -3, -2, 2, 1, 2, 6 }, { 1, -3, -3, -1, 2, -2, 2, 1, 6 }, { 2, -2, 2, 1, 1, -3, -3, -1, 6 }, { 0, -1, -2, 1, 1, -1, -1, 2, 3 }, { -2, -2, 2, 2, -2, 1, -1, 1, 5 }, { -1, 1, 2, -1, -1, 0, 1, -2, 3 }, { 1, -2, 1, -1, -2, -2, 2, 2, 5 }, { -2, 1, -1, 1, -2, -2, 2, 2, 5 }, { -1, -1, -2, 1, 2, 1, 0, 1, 2 }, { -1, 1, -1, -2, 2, 2, 3, 1, 1 }, { 3, 4, 3, 2, -1, -1, 1, -2, 0 }, { 1, 2, 2, 1, 1, 1, -2, 1, 0 }, { 2, 1, 1, 2, 1, 1, 1, -2, 0 }, { 2, 1, 2, 1, -2, -1, -2, -1, 3 }, { 1, 1, 0, 1, -1, 1, 0, 1, 0 }, { 1, -1, -1, -1, 0, 1, -1, -1, 4 }, { 0, 1, 1, 1, -1, 0, 1, 0, 0 }, { -1, 1, -1, -1, 1, 0, -1, -1, 4 }, { 0, -1, -1, -1, 2, 2, 2, 3, 0 }, { 2, -1, 0, 1, 1, -2, -1, 1, 2 }, { -1, 1, -1, 1, 1, -1, 1, -1, 3 }, { 1, 1, 1, -1, 1, 0, 1, 1, 0 }, { 1, -1, 1, -1, -1, 1, -1, 1, 3 } }; int sig_ind[8] = { 0,2,4,6,1,3,5,7 }; unsigned long long randomvaule[3072] = { 0x329ff9a533f7dedb,0x95a79d3cc062a8e3,0x48c00910cdc691b3,0xecb7b1ec57d8e2d9, 0xb388fda995f7270e,0x440e9b4d0d0f92cd,0x08cf5c671fb90140,0xd4e5026b69975d95, 0x556fcbbdec0de018,0xa74a89ef531cdce3,0xefcaf5d30ff0c8ef,0x41cfd7dd5410899b, 0x1cfd4d718f51455e,0x704d11439a71c9ac,0xf64f4ce5e37e5947,0xba59e16404d819ee, 0x8011cac7db9f9441,0x323542d8fa053f8f,0xe952d4f2dfad5ee6,0x56c9e11002f646bf, 0xc254eeaa6f752135,0x3a6d8d1f9530d166,0x2e1769cfae318828,0xc91fc4e638046651, 0x8bac7bbabc381cdd,0xc1945a65cfcf9cf8,0xb4f57d4bbee3ffde,0x1728f9b17961a96a, 0xb64de36a4de81519,0x5f4b959f7de98bff,0x2ddd920bab088d91,0x6724fb57cc1953c1, 0x0827e7a6adf1901f,0xddd6d5ddcd9ffc9b,0x90ed1784df7a1b14,0x1e257243d9d10eb9, 0xb1cae8af38fc191c,0xca916a4e84fcb44b,0xf73f9b5ae49c422c,0xe38a877ff940e089, 0x928436872a8e08f2,0x9b9a0c1677bc2cbe,0x2f2e826c65b87603,0x47383727aa86c29d, 0x07ae9826c5127edb,0x3b04490d83536fbe,0x3514dfa56477fb84,0x359dde55e7c79e8c, 0xe43cc15d38b3b1f6,0x2b503be3f0bbfee5,0xf3107fbc623e8752,0xdb6543b7e541d877, 0x82bc8a67fdfedb76,0x940c4e1a8fce5706,0x7a579adcb9f0131c,0xf1835b5dbc2f0506, 0xb126adc1f1f16674,0xeb0b9efadc1636b6,0x045093ef2b67ed64,0xd2e5a04d5a2832d3, 0xef7e5bc90dfe8422,0x1b8a85ea2a6ca38e,0xb651bf3c6df14e65,0xe52a4d06e5f623a1, 0x47fb8a5748e79ddf,0x4843677799ef8c0c,0xbc80fa8015aa1a01,0x65cb401672976c49, 0x2cde333a84d29021,0x9d3ca7c42def6b22,0x244d6fd3a7f94b30,0x1fc861f42ba4c5e7, 0x371d86ccbf0103f6,0x0e6f514ba73097f3,0x02c78b8f75d5102e,0x31f2a2562b3a5007, 0xca5f84f0024e98dc,0x060ccf22a9ef4687,0x1d0ea0b12dfca4e0,0x917472e1245f2fc4, 0x2fd45a7eed03d231,0xfaae9429dd766cf3,0x4a6f294655abc7f8,0x2df4891eddec6506, 0x48a0d8ee9facebc3,0xecad7fe06977609d,0xe7847430a22e120d,0xef7f275c184f4df3, 0x4f2e81f174036915,0xcb5f9ed2462e0fef,0x712d11fc07d96e72,0xeccd101558736409, 0xc40520007bb27b22,0x9f2a7397e21247c9,0x06a1c836a8de3db9,0x4458d0a057ad5c87, 0x6f7e6f1bc88072eb,0x754e70cdfb607d8a,0x031fc138962954c3,0x06c4176a01bfa9d0, 0xe9172c0f52aa7702,0x7a348818f6f07dd6,0x8c1ff49b9dfdc2a5,0x454bf89f24c94246, 0xa3a96a8ea4b4756d,0x98327403c4d584f5,0xd6f21d36dfd559a7,0xe27aa5ea35de2659, 0xc458b0706eeb9c17,0xd8276b30a708f7b9,0x6d2b310a888b2af8,0x8d2ff25b89a126c5, 0xc1e270948f32c8e2,0x9e7d55c1b28198f0,0xa0d8c5bf10ee6e99,0x31eef50a6cdf206b, 0x4cf0f3ff84ccc86d,0xd16e3f74f22c1cb1,0x34a5c91f98873944,0x03eccdc486e2f853, 0xf53aea2736a2907a,0xd29efa243aa7a503,0x13c05e8ea41b9799,0x35e46434c85db30b, 0x88982db3f861bcba,0xd5dcce5c6db69df3,0x95d00766a18d086b,0xd97c3ed978a0f37c, 0xb585b567e645b636,0x121a6dcb03bbdde6,0xb9c5affdfa26c667,0xe7a1051306ac58b1, 0x0da68523c28d1e52,0xaa208cd0d6117ae7,0xaea96ebf22f3bcf6,0x0bdfc51ecaf33721, 0xe57635f6f5e66ba5,0x295bce07c4da0f1f,0x43e8acaef1cf2b8b,0x020fc56352ab165f, 0xa14217aad9e1a28a,0x12a0ffbdd526fa67,0x385830068b76b1e1,0xf5c1a3a527f365d2, 0xa721a0735f5c1106,0x03ce9390836bf5d4,0xe5973838f81a35f3,0x4fbc71e29a0d8c04, 0xba57f766b4809845,0x6713de58020a8af7,0x58a28fbada2cba5d,0xc3c5c5c3a96c978c, 0x80586daaef9cd96e,0x4d2e7904f008a36c,0x00942294cd229816,0x9d4da989e0814b93, 0x2a0fa8171598f87f,0xe0e2cc7ba9b49af0,0x1407a5cd89df7cd6,0x11f633f25250138e, 0xcb2928cb1c2dda86,0x779cccbb98e3b3f3,0xd3a52ccb5cf36cd8,0x011f6f851bba4d10, 0x89f00bcc3e81d241,0xb35cc522c925c506,0xfc43dcbed66a8a28,0x8a8ba95bfc1a0714, 0xefbd8a6bd070fb3a,0x4d511a553f9a8d72,0xb749cf3a662541f6,0xb7b1d48edc7f6f6d, 0xe4fcb1b94c7b0c62,0xee84ac5f92db6b05,0x83d4eff399450cec,0xcc124d40d0e89a52, 0x6757649a0cf0cfad,0xe2f181805a9edded,0x377cf46f42d2cfc9,0x3bd1b968ba3dd445, 0xa85d87e03fb40b6d,0x796472c740bec0aa,0xddaf0e8c82ebf0ac,0x1d4529c49792370a, 0x3d4531b339248378,0x9531a6a41212d8ae,0xabd41efa152ebe26,0x3fbbb3d1129e9e8e, 0x805d54274f385ded,0x471f70ad9e0b227a,0xaa7c143182d3502d,0x893afc259efecc31, 0x39b0ef35af8fafbb,0x21e064b9a60ad3bd,0xb26ccccdf7ed1fa3,0x8d0a3a704d83f2d4, 0x98ae61f7d1c7ea2e,0x8ddd43890c61c3cf,0x44aee41d80379cbc,0xbd573bbd98a48883, 0x0969086e9f7c7daf,0x2a617ec09465dffd,0xe1da601868fa7839,0x316f47d355011dc1, 0xf1bc709311552a85,0x3ec4f33667118cbd,0x85a26847a3b491f2,0xca3d5a62329f3c0b, 0xef4c5802697f76a9,0x147f14b1e1147b23,0xa4ea948fb16364af,0x8f1fa89f722956ec, 0x0da3d3433ea14520,0x27cc95270deab67c,0xeb1d8b452bb5c9b0,0x3a45ddca65b1f4d3, 0x4ede001dc3719e38,0xa58e0e89b2dbb064,0x6fe29679c2b318c8,0xf1923d7291409efd, 0x0870f611c685074c,0xc0e37473c2f73a10,0x6a6ee6573ccc763c,0xc13b37d595f07876, 0xcf35a90d7712c1ef,0x9ce3a42d9b6891cf,0xcb17c5492e44e499,0xa1f4a04a340f7c9b, 0x75dcf032ec18e60a,0x8efac3db3fff4008,0x6216114a0cea6ae6,0xd6c90a29da27584c, 0xed286be732dc4365,0x80dfcc5e2a03ea1d,0xf6b3b29404f0225c,0xa4e0b4289282c332, 0x0a677115c560a4a1,0x83147d4ca8fedbd8,0x02ebfb894ed2afe3,0xc2d22f4aedf60030, 0xbc80f42399c6acfd,0x8049d821e314eea1,0xce2fa7dab233690d,0x5e2808cf370ff01c, 0x3f806b0aa8bdfff8,0xb4bd67084bcf2f28,0xe190275dde752c1b,0x8a34bf73f2a0d61f, 0x3237d41e030d974c,0xaccf961a71cf0643,0x77a8b4e134a8ce4e,0xa3ece1f59e6f8e38, 0x90ac0cab54726fa3,0x1874488e371ef077,0x5107c65e5ab6406c,0x7b7a0caf8ccf2fb7, 0x9a31c74794c39be9,0xfae297bfc2d1c8df,0x25cd98fc9456f802,0x2f6f5ab1f08e4b79, 0x6fa530c47212dc63,0x6c706cb6130c63e2,0x6cf011955f62e5e5,0x583da1de35e746a5, 0x6f96dc8681962cbe,0x5b714e823812a910,0xa9e89006bea9a524,0x10e1b236a450c929, 0xb347c7e84da83f13,0x8d3471fb3084a461,0xb36c0a8520bef87a,0x4940bf71f64b9290, 0x594eb1341e941b73,0x864a6aa72af458d9,0x20d63e5a4880493a,0x1f14448f2c601066, 0x90593578d820d4eb,0x6c34f8cb650c5af1,0x050d676835c51642,0xe1ad56f74b55db8b, 0x99388f30c516db7d,0x75e785ca86feab34,0x15e11fda00e9aba0,0x30560b15ccd6364e, 0x46c4035038b1d620,0xab8abcfc1efd73d4,0x1e51ed042d775c00,0xf7237d824b800e2f, 0x711496a86c32cd35,0x582cc2be254a2eb2,0x42780448da3c9538,0x5b1d1e6a9110c70d, 0x2bef48f2fafef3e4,0x3acba042315d8ff7,0x1085162c0ed02fb4,0x5da40f043fdc8c70, 0x55e34b1124b4134e,0x85ee66ee3071dd8f,0x1a08b004a19af62a,0xbde750ac38b443a9, 0x5c926d5ba823a406,0x7e7fb6c9d51e9e84,0xdcd9f599206740a6,0xc5c77c2ea71214bf, 0x4d8b8b8a72e673d9,0xdd9b8d4102e86ad0,0x37e632b451a5afbe,0x2fc36f221a2fc62f, 0x5565be0a075d0eb4,0x907352d1e3f2fc76,0x5ca791f11e2f4f7f,0xc9bdb65cf6e990c3, 0xb4001c30be9de6f1,0x2b9ba3e381d6db63,0x96e5805273530dcd,0xe0fe5c2707d8e275, 0x2a76024e015e6630,0x5a501202d8cd0f57,0xb8d1d517b635d231,0xa1c53b7f11f69713, 0x5d5776546ab690c3,0x26c17b7add00366e,0x2c17dc09918e9c91,0xe161c6054c1231a5, 0x47263dc08cd3e987,0x58da45dcf615efbb,0x2dd48469587ae2cf,0x339ab14f099972b6, 0xbc1b4c6be81b65ff,0xe230bf0da7da5e24,0x512db5253cbe3ebf,0x1dc1b77f5683f72f, 0x7d633a878b1ad446,0x0384e8fb878d3bc2,0x2bf5cf3c15b7b5b1,0x656304993f27e514, 0x9405093b58019599,0x7f6c12dba9ba180b,0x1e6b4670c7ac0043,0x5fd3ab54cc6c3c91, 0xb5e74c938347844d,0x2a08b0b460bd55b3,0x51e4d5afacc15755,0xac14f42c48981a2f, 0xc69e9faf4984343c,0x7bc6d6420a56a379,0xb77b0a3cd42c4b04,0x271ebfa52f7a0928, 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0x1dc8536d468aca4a,0xb3e2475f1ec6054b,0x2d1eeb06dbae9282,0x7cd1efb9080818b7, 0x48122c662703ec2e,0x875aff854184e2af,0x15101d682f0c1963,0x1f0ab71a13726077, 0x79b957407f2e9ccd,0xdc0dc6105e7fc8ca,0xd2f91cc1429bf89a,0xbd8115f8d410a7ea, 0xdd6d84b17a0368ae,0xe7e0c0d03929ace6,0x57ab6f7691aa209a,0xb30dc2214f815d66, 0x53f7700298d60c93,0x6ebc64510f6dc9a4,0x888a1ccc29289e08,0x6944739577038afb }; void Add_KEY(FILE *f, char input, int inround, int index[128], int add) { int i; int tmp[128] = { 0 }, tmp1; for (i = 0; i < 128; i++) { fprintf(f, "%c_%i_%i + ", input, index[i], inround); fprintf(f, "c_%i + ", (inround - 1) * 128 + i); fprintf(f, "y_%i_%i", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, index[i], inround); fprintf(f, "A%i - c_%i >= 0 \n", dummy, (inround - 1) * 128 + i); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); if (i < 64) { tmp1 = (randomvaule[(R_PARAM - 1) * 2 * add + 2 * inround] >> i) & 0x1; } else { tmp1 = (randomvaule[(R_PARAM - 1) * 2 * add + 2 * inround + 1] >> i) & 0x1; } fprintf(f, "c_%i = %i\n", (inround - 1) * 128 + i, tmp1);//constant_c[128 * (inround - 1) + i] ^ constant_c1[128 * (inround - 1) + i]);//rand() % 2); index[i] = y_count; y_count++; dummy++; } } void SC(FILE *f, const int shuffle[16], int index[128]) { int i, j; int tmp[128]; for (i = 0; i < 16; i++) { for (j = 0; j < 8; j++) { tmp[8 * i + j] = index[8 * shuffle[i] + j]; } } for (i = 0; i < 128; i++) { index[i] = tmp[i]; } } void MixColumns(FILE *f, char input, int inround, int index[128])//M_4_1 is used in this program. { int column, i, j, tmp1, tmp2; int tmp_index[128] = { 0 }; for (column = 0; column < 4; column++) /* column */ { for (j = 0; j < 8; j++)//for each bit in 0 cell { tmp1 = index[8 * (4 * 1 + column) + (j + 1) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); tmp2 = index[8 * (4 * 2 + column) + (j + 4) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp2, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 "); //fprintf(f, "- %c_%i_%i ", input, tmp1, inround); //fprintf(f, "- %c_%i_%i ", input, tmp2, inround); //fprintf(f, "- y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp2, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); y_count++; dummy++; fprintf(f, "y_%i_%i + ", y_count - 1, inround); tmp1 = index[8 * (4 * 3 + column) + (j + 5) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 -"); //fprintf(f, " y_%i_%i -", y_count - 1, inround); //fprintf(f, " %c_%i_%i -", input, tmp1, inround); //fprintf(f, " y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count - 1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); tmp_index[8 * (4 * 0 + column) + j] = y_count; y_count++; dummy++; } for (j = 0; j < 8; j++)//for each bit in 1 cell { tmp1 = index[8 * (4 * 0 + column) + (j + 5) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); tmp2 = index[8 * (4 * 2 + column) + (j + 1) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp2, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 "); //fprintf(f, "- %c_%i_%i ", input, tmp1, inround); //fprintf(f, "- %c_%i_%i ", input, tmp2, inround); //fprintf(f, "- y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp2, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); y_count++; dummy++; fprintf(f, "y_%i_%i + ", y_count - 1, inround); tmp1 = index[8 * (4 * 3 + column) + (j + 4) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 -"); //fprintf(f, " y_%i_%i -", y_count - 1, inround); //fprintf(f, " %c_%i_%i -", input, tmp1, inround); //fprintf(f, " y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count - 1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); tmp_index[8 * (4 * 1 + column) + j] = y_count; y_count++; dummy++; } for (j = 0; j < 8; j++)//for each bit in 2 cell { tmp1 = index[8 * (4 * 0 + column) + (j + 4) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); tmp2 = index[8 * (4 * 1 + column) + (j + 5) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp2, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 "); //fprintf(f, "- %c_%i_%i ", input, tmp1, inround); //fprintf(f, "- %c_%i_%i ", input, tmp2, inround); //fprintf(f, "- y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp2, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); y_count++; dummy++; fprintf(f, "y_%i_%i + ", y_count - 1, inround); tmp1 = index[8 * (4 * 3 + column) + (j + 1) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 -"); //fprintf(f, " y_%i_%i -", y_count - 1, inround); //fprintf(f, " %c_%i_%i -", input, tmp1, inround); //fprintf(f, " y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count - 1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); tmp_index[8 * (4 * 2 + column) + j] = y_count; y_count++; dummy++; } for (j = 0; j < 8; j++)//for each bit in 3 cell { tmp1 = index[8 * (4 * 0 + column) + (j + 1) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); tmp2 = index[8 * (4 * 1 + column) + (j + 4) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp2, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 "); //fprintf(f, "- %c_%i_%i ", input, tmp1, inround); //fprintf(f, "- %c_%i_%i ", input, tmp2, inround); //fprintf(f, "- y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp2, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); y_count++; dummy++; fprintf(f, "y_%i_%i + ", y_count - 1, inround); tmp1 = index[8 * (4 * 2 + column) + (j + 5) % 8]; fprintf(f, "%c_%i_%i + ", input, tmp1, inround); fprintf(f, "y_%i_%i ", y_count, inround); fprintf(f, " - 2 A%i = 0 \n", dummy); //fprintf(f, "2 -"); //fprintf(f, " y_%i_%i -", y_count - 1, inround); //fprintf(f, " %c_%i_%i -", input, tmp1, inround); //fprintf(f, " y_%i_%i >= 0 \n", y_count, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count - 1, inround); fprintf(f, "A%i - %c_%i_%i >= 0 \n", dummy, input, tmp1, inround); fprintf(f, "A%i - y_%i_%i >= 0 \n", dummy, y_count, inround); tmp_index[8 * (4 * 3 + column) + j] = y_count; y_count++; dummy++; } } for (i = 0; i < 128; i++) { index[i] = tmp_index[i]; } } void Sbox_Layer_Bitwise(FILE *f, int inround, char output, int outround, int index[128], const int Convex[35][9]) { int i, j, k; for (i = 0; i < 16; i++) { for (j = 0; j < 35; j++) { //part1 for (k = 0; k < 4; k++) { if (Convex[j][k] > 0) { fprintf(f, "+ %i y_%i_%i ", Convex[j][k], index[8 * i + k], inround); } else if (Convex[j][k] < 0) { fprintf(f, "%i y_%i_%i ", Convex[j][k], index[8 * i + k], inround); } } for (k = 0; k < 4; k++) { if (Convex[j][k + 4] > 0) { fprintf(f, "+ %i %c_%i_%i ", Convex[j][k + 4], output, 8 * i + sig_ind[k], outround); } else if (Convex[j][k + 4] < 0) { fprintf(f, "%i %c_%i_%i ", Convex[j][k + 4], output, 8 * i + sig_ind[k], outround); } } fprintf(f, ">= %i \n", -Convex[j][8]); //part2 for (k = 4; k < 8; k++) { if (Convex[j][k-4] > 0) { fprintf(f, "+ %i y_%i_%i ", Convex[j][k-4], index[8 * i + k], inround); } else if (Convex[j][k-4] < 0) { fprintf(f, "%i y_%i_%i ", Convex[j][k-4], index[8 * i + k], inround); } } for (k = 4; k < 8; k++) { if (Convex[j][k] > 0) { fprintf(f, "+ %i %c_%i_%i ", Convex[j][k], output, 8 * i + sig_ind[k], outround); } else if (Convex[j][k] < 0) { fprintf(f, "%i %c_%i_%i ", Convex[j][k], output, 8 * i + sig_ind[k], outround); } } fprintf(f, ">= %i \n", -Convex[j][8]); } for (j = 0; j < 3; j++) { fprintf(f, "y_%i_%i + ", index[8 * i + j], inround); } fprintf(f, "y_%i_%i -", index[8 * i + 3], inround); fprintf(f, " B_%i_%i >= 0 \n", 2*i, inround); for (j = 4; j < 7; j++) { fprintf(f, "y_%i_%i + ", index[8 * i + j], inround); } fprintf(f, "y_%i_%i -", index[8 * i + 7], inround); fprintf(f, " B_%i_%i >= 0 \n", 2 * i+1, inround); for (j = 0; j < 4; j++) { fprintf(f, "B_%i_%i - y_%i_%i >= 0 \n", 2*i, inround, index[8 * i + j], inround); fprintf(f, "B_%i_%i - %c_%i_%i >= 0 \n", 2*i, inround, output, 8 * i + sig_ind[j], outround); } for (j = 4; j < 8; j++) { fprintf(f, "B_%i_%i - y_%i_%i >= 0 \n", 2 * i+1, inround, index[8 * i + j], inround); fprintf(f, "B_%i_%i - %c_%i_%i >= 0 \n", 2 * i+1, inround, output, 8 * i + sig_ind[j], outround); } } for (i = 0; i < 128; i++) { index[i] = i; } } int main(int argc, char** argv) //int main() { int i, j, r; int index[128] = { 0 }; for (i = 0; i < 128; i++) { index[i] = i; } int addr = atoi(argv[1]); // /////////////////////////////////////////////////////////////////// // // initially the tweak is in its input state, no permutation FILE *f; //f=fopen("qarma_milp_constant.lp", "w+"); fopen_s(&f, "qarma_milp_constant_1.lp", "w+"); fprintf(f, "Minimize\n"); /* print objective function */ //fprintf(f, "T\n"); for (j = 0; j < R_PARAM; j++) { for (i = 0; i < 32; i++) { fprintf(f, "B_%i_%i", i, j); if ((j != R_PARAM - 1) || (i != 31)) fprintf(f, " + "); if (i == 31| i==15) fprintf(f, "\n"); } /*if (j == R_PARAM - 1) { fprintf(f, "- T >= 0\n"); }*/ } fprintf(f, "Subject To\n"); /* round function constraints */ srand((unsigned)time(NULL)); // Exclude trivial solution (no active input) /*for (i = 0; i < 32; i++) { fprintf(f, "B_%i_%i", i, 0); if (i != 31) fprintf(f, " + "); if (i == 15) fprintf(f, "\n"); } fprintf(f, " >= 1\n");*/ /*for (j = 0; j < R_PARAM; j++) { for (i = 0; i < 16; i++) { fprintf(f, "B_%i_%i", i, j); if ((j != R_PARAM - 1) || (i != 15)) fprintf(f, " + "); if (j != R_PARAM - 1 & i == 15) fprintf(f, "\n"); } if (j == R_PARAM - 1) { fprintf(f, " >= 29\n"); } }*/ // /////////////////////////////////////////////////////////////////// // // Now model the cipher // FORWARD ROUNDS y_count = 0; SC(f, SHUFFLE_P, index); MixColumns(f, 'x', 0, index); Sbox_Layer_Bitwise(f, 0, 'x', 1, index, Convex); for (r = 1; r