/* * curveParamDataOld.h - prototype FEE curve parameters (obsolete as of 4/9/2001) */ #warning Using obsolete curveParam data! /* * q = 31 k = 1, Weierstrass * a = 7 b = 1 c = 0 */ static arrayDigit ga_w31_1_a[] = {1, 7}; static arrayDigit ga_w31_1_x1Plus[] = {2,15438,14404}; /* 943995982 */ static arrayDigit ga_w31_1_x1Minus[] = {2, 10400, 19905}; /* 1304504480 */ static arrayDigit ga_w31_1_plusOrder[] = {2, 3848, 32769}; /* 2147553032 */ static arrayDigit ga_w31_1_minusOrder[] = {2, 61688, 32766 }; /* 2147414264 */ static arrayDigit ga_w31_1_x1OrderPlus[] = {2, 8673, 4096}; /* 268444129 */ static arrayDigit ga_w31_1_x1OrderMinus[] = {2, 56863, 4095 }; /* 268426783 */ static arrayDigit ga_w31_1_x1OrderPlusRecip[] = {2, 30845, 16383}; static arrayDigit ga_w31_1_lesserX1OrderRecip[] = {2, 8673, 4096}; /* * q = 31 k = 1, Montgomery * a = 1 b = 0 c = 666 */ static arrayDigit ga_m31_1_x1Plus[] = {2, 61780, 6237}; /* 408809812 */ static arrayDigit ga_m31_1_x1Minus[] = {2,12973,30585}; /* 2004431533 */ static arrayDigit ga_m31_1_plusOrder[] = {2, 25928, 32768 }; /* 2147509576 */ static arrayDigit ga_m31_1_minusOrder[] = {2, 39608, 32767 }; /* 2147457720 */ static arrayDigit ga_m31_1_x1OrderPlus[] = {2, 3241, 4096}; /* 268438697 */ static arrayDigit ga_m31_1_x1OrderMinus[] = {2, 4153, 273}; /* 17895481 */ static arrayDigit ga_m31_1_x1OrderPlusRecip[] = {2, 52572, 16383}; static arrayDigit ga_m31_1_lesserX1OrderRecip[] = {2, 759, 960}; /* * q = 31 k = 1, Montgomery, prime curve orders * a = 5824692 b = 2067311435 c = 0 */ static arrayDigit ga_31_1P_x1Plus[] = {1, 6 }; static arrayDigit ga_31_1P_x1Minus[] = {1, 7 }; static arrayDigit ga_31_1P_plusOrder[] = {2,59003,32766 }; /* 2147411579 */ static arrayDigit ga_31_1P_minusOrder[] = {2,6533,32769 }; /* 2147555717 */ static arrayDigit ga_31_1P_x1OrderPlus[] = {2,59003,32766}; /* 2147411579 */ static arrayDigit ga_31_1P_x1OrderMinus[] = {2,6533,32769}; /* 2147555717 */ static arrayDigit ga_31_1P_x1OrderPlusRecip[] = {2, 6535, 32769}; static arrayDigit ga_31_1P_a[] = {2,57524,88}; /* 5824692 */ static arrayDigit ga_31_1P_b[] = {2,43851,31544}; /* 2067311435 */ /* * q = 40 k = 213, Weierstrass * a = 1627500953 b = 523907505 c = 0 */ static arrayDigit ga_40_213_x1Plus[] = {1, 1 }; static arrayDigit ga_40_213_x1Minus[] = {1, 2 }; static arrayDigit ga_40_213_plusOrder[] = {3,11655,25,256}; /* 1099513277831 */ static arrayDigit ga_40_213_minusOrder[] = {3,53457,65510,255}; /* 1099509977297 */ static arrayDigit ga_40_213_x1OrderPlus[] = {3,11655,25,256}; /* 1099513277831 */ static arrayDigit ga_40_213_x1OrderMinus[] = {3,53457,65510,255}; /* 1099509977297 */ static arrayDigit ga_40_213_x1OrderPlusRecip[] = {3, 18925, 65435, 1023}; static arrayDigit ga_40_213_lesserX1OrderRecip[] = {3, 12081, 25, 256}; static arrayDigit ga_40_213_a[] = {2,45465,24833}; /* 1627500953 */ static arrayDigit ga_40_213_b[] = {2,12721,7994}; /* 523907505 */ /* * q = 127 k = 1 * a = 1 b = 0 c = 666 */ static arrayDigit ga_127_1_x1Plus[] = {8, 24044, 39922, 11050, 24692, 34049, 9793, 1228, 31562}; /* 163879370753099435779911346846180728300 */ static arrayDigit ga_127_1_x1Minus[] = {8,49015,6682,26772,63672,45560,46133,24769,8366}; /* 43440717976631899041527862406676135799 */ static arrayDigit ga_127_1_plusOrder[] = { 8, 14612, 61088, 34331, 32354, 65535, 65535, 65535, 32767}; /* 170141183460469231722347548493196835092 */ static arrayDigit ga_127_1_minusOrder[] = { 8, 50924, 4447, 31204, 33181, 0, 0, 0, 32768 }; /* 170141183460469231741027058938571376364 */ static arrayDigit ga_127_1_x1OrderPlus[] = {6, 8201, 61942, 37082, 53787, 49605, 7887 }; /* 9535713005180210505588285449 */ static arrayDigit ga_127_1_x1OrderMinus[] = {6, 14659, 1977,16924, 7446, 49030, 1}; /* 2113371777483973234080067 */ static arrayDigit ga_127_1_x1OrderPlusRecip[] = {6, 21911, 8615, 0, 40960, 64107, 8507}; static arrayDigit ga_127_1_lesserX1OrderRecip[] = {6, 44759, 65533, 17695, 61560, 18883, 2}; /* * This is only used for the FEE_DEPTH_127_GEN (FPT_General) case. */ static arrayDigit ga_127_1_bp[] = {8, 65535, 65535, 65535, 65535, 65535, 65535, 65535, 32767}; /* * q = 127 k = 1, Weierstrass * a = 666 b = 1 c = 0 */ static arrayDigit ga_127_1W_x1Plus[] = {8, 8152, 12974, 29415, 29630, 64916, 34821, 65368, 29317}; /* 152227746030289977478827896983637598168 */ static arrayDigit ga_127_1W_x1Minus[] = {8, 33297, 13207, 15262, 22815, 21569, 49926, 18455, 22807}; /* 118422176668700242826570137796135584273 */ static arrayDigit ga_127_1W_plusOrder[] = {8, 7568, 62409, 28235, 47403, 65534, 65535, 65535, 32767 }; /* 170141183460469231708136695161971875216 = 2 * 2 * 2 * 2 * 11 * 17 * 47 * 103 * 10861 * 1081540940469355570836125423 */ static arrayDigit ga_127_1W_minusOrder[] = {8, 57968, 3126,37300, 18132, 1, 0, 0, 32768 }; /* 170141183460469231755237912269796336240 = 2 * 2 * 2 * 2 * 3 * 5 * 19 * 34267 * 1088851169917897274673487152937 */ static arrayDigit ga_127_1W_x1OrderPlus[] = { 6, 46831, 48825, 15584, 56652, 41267, 894 }; /* 1081540940469355570836125423 */ static arrayDigit ga_127_1W_x1OrderMinus[] = {7, 1833, 34556, 10366, 60186, 37860, 48708, 13}; /* 1088851169917897274673487152937 */ static arrayDigit ga_127_1W_x1OrderPlusRecip[] = {6, 48506, 2992, 0, 28160, 5127, 1172}; /* * q = 160 k = 57 * a = c = 0 b = 3 */ static arrayDigit ga_160_57_x1Plus[] = {10,12520,51433,52060,51310,41288,18467,39861,56172,11574,31757}; /* 708208703989516599321256243677211664634713026792 */ static arrayDigit ga_160_57_x1Minus[] = {10,40240,19544,56125,45242,10556,34052,10700,5155,57632,13213}; /* 294679357488322649182890242541447794429265485104 */ static arrayDigit ga_160_57_plusOrder[] = {11,62853,63609,4196,64365,22452,1,0,0,0,0,1}; /* 1461501637330902918203686455826517732113793021317 */ static arrayDigit ga_160_57_minusOrder[] = {10,2571,1926,61339,1170,43083,65534,65535,65535,65535,65535}; /* 1461501637330902918203683209606048307198072064523 */ static arrayDigit ga_160_57_x1OrderPlus[] = {5,171,21451,35098,934,63868}; /* 1178156913548056058331307 */ static arrayDigit ga_160_57_x1OrderMinus[] = {7,255,39523,10835,12387,25442,37088,9774}; /* 774420897524543052406523561181439 */ static arrayDigit ga_160_57_x1OrderPlusRecip[] = {6, 49805, 35001, 38758, 35853, 1711, 1}; static arrayDigit ga_160_57_b[] = {1, 3}; /* b = (giant)3 */ /* * This is only used for the FEE_DEPTH_160_GEN (FPT_General) case. */ static arrayDigit ga_160_57_bp[] = {10,65479,65535,65535,65535,65535,65535,65535,65535,65535,65535}; /* 1461501637330902918203684832716283019655932542919 */ /* * q = 192 k = 1425 * a = 0 b = -11 c = 0 */ static arrayDigit ga_192_1425_x1Plus[] = {12, 44344, 60264, 44908, 24163, 37728, 58781, 45290, 62313, 45939, 59670, 20046, 8781}; /* 841082007613983662909216085212018592355989658924032240952 */ static arrayDigit ga_192_1425_x1Minus[] = {12,32855,61817,23700,48262,13770,23791,31597,23825,7973,37638, 62245,25400}; /* 2432927643133372385673335524462623851522707126886260637783 */ static arrayDigit ga_192_1425_plusOrder[] = {13, 7615, 52517, 60178, 40906, 43135, 27853, 1, 0, 0, 0, 0, 0, 1}; /* 6277101735386680763835789423320567585182165941785488334271 */ static arrayDigit ga_192_1425_minusOrder[] = {12, 55073, 13018, 5357, 24629, 22400, 37682, 65534, 65535, 65535, 65535, 65535, 65535}; /* 6277101735386680763835789423094765247022544947142580688673 */ static arrayDigit ga_192_1425_x1OrderPlus[] = {11, 55217, 35908, 19375, 13869, 14836, 18343, 39323, 50251, 7215, 49984, 21171}; /* 30942565846835947234516838572438382480699614724151217 */ static arrayDigit ga_192_1425_x1OrderMinus[] = {12, 42525, 5637, 42463, 55864, 53758, 3234, 41914, 27439, 9168, 44294, 64393, 2}; /* 285673405333212613836790125294441598644816135581967901 */ static arrayDigit ga_192_1425_x1OrderPlusRecip[] = {11, 31243, 31728, 18067, 25698, 58801, 65534, 65535, 65535, 65535, 49151, 50715}; static arrayDigit ga_192_1425_b[] = {-1, 11}; /* b = (giant)(-11) */ /* * q = 192 k = -529891 * a = -152 b = 722 c = 0 */ static arrayDigit ga_192_M529891_x1Plus[] = {12, 27752, 118, 22193, 28093, 63505, 16219, 38086, 5777, 13552, 56652, 28149, 56180}; /* 5381016108938327910020782805833379575685074837329310805096 */ static arrayDigit ga_192_M529891_x1Minus[] = {12, 20031, 4376, 4872, 24519, 24047, 14628, 60533, 27380, 49464, 20541, 38806, 59062}; /* 5657072442654455186533371860713762559076927475376430009919 */ static arrayDigit ga_192_M529891_plusOrder[] = {13, 5604, 8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}; /* 6277101735386680763835789423366122741130884119651122943460 */ static arrayDigit ga_192_M529891_minusOrder[] = {12, 5604, 8, 0, 0, 0, 0, 65534, 65535, 65535, 65535, 65535, 65535}; /* 6277101735386680763835789423049210091073826769276947142116 */ static arrayDigit ga_192_M529891_x1OrderPlus[] = {12, 28623, 26214, 26214, 26214, 26214, 58982, 16681, 4766, 10724, 40513, 58386, 297}; /* 28532280615394003471980861015300557914231291452959649743 */ static arrayDigit ga_192_M529891_x1OrderMinus[] = {11, 18083, 10335, 12214, 61896, 30741, 14099, 7255, 33291, 27015, 23037, 196}; /* 286968072376896521631921223217092198374509106906787 */ static arrayDigit ga_192_M529891_x1OrderPlusRecip[] = {12, 58420, 65535, 65535, 65535, 65535, 63775, 65535, 65535, 65535, 65535, 65535, 879}; static arrayDigit ga_192_M529891_lesserX1OrderRecip[] = {11, 65535, 65535, 65535, 35223, 667, 0, 0, 0, 0, 50380, 333}; static arrayDigit ga_192_M529891_a[] = {-1, 152}; /* a = -152 */ static arrayDigit ga_192_M529891_b[] = { 1, 722}; /* b = 722 */ /* * FPT_General, 161 bits */ static arrayDigit ga_161_gen_bp[] = {11,41419,58349,36408,14563,25486,9098,29127,50972,7281,8647,1}; /* baseprime = 1654338658923174831024422729553880293604080853451 */ static arrayDigit ga_161_gen_x1Plus[] = {10,59390,38748,49144,50217,32781,46057,53816,62856,18968,55868}; /* 1245904487553815885170631576005220733978383542270 */ static arrayDigit ga_161_gen_x1Minus[] = {10,62588,37264,57758,58571,20023,11302,61317,50155,46534,18610}; /* 415032703104741702601157337572231150005648422012 */ static arrayDigit ga_161_gen_plusOrder[] = {11,41420,58349,36408,14563,25486,9100,29127,50972,7281,8647,1}; /* 1654338658923174831024425147405519522862430265804 */ static arrayDigit ga_161_gen_minusOrder[] = {11,41420,58349,36408,14563,25486,9096,29127,50972,7281,8647,1}; /* 1654338658923174831024420311702241064345731441100 */ static arrayDigit ga_161_gen_x1OrderPlus[] = {8,59671,64703,58305,55887,34170,37971,15627,197}; /* 1024120625531724089187207582052247831 */ static arrayDigit ga_161_gen_x1OrderMinus[] = {10,49675,56911,64364,6281,5543,59511,52057,44604,37151,2}; /* 57243552211874561627142571339177891499852299 */ static arrayDigit ga_161_gen_x1OrderPlusRecip[] = {8, 7566, 37898, 14581, 2404, 52670, 23839, 17554, 332}; static arrayDigit ga_161_gen_a[] = {-1, 152}; /* a = -152 */ static arrayDigit ga_161_gen_b[] = { 1, 722}; /* b = 722 */