diff --git a/src/finfield_conway.h b/src/finfield_conway.h index 413a16c73f..12caa74d90 100644 --- a/src/finfield_conway.h +++ b/src/finfield_conway.h @@ -18,102 +18,6960 @@ ** 'PolsFF' is a list of Conway polynomials for finite fields. The even ** entries are the proper prime powers, odd entries are the corresponding ** conway polynomials. +** +** The polynomial for q = p^r will be of the form x^r + \sum{a_i x^i} and is +** represented as \sum{a_i q^i}. */ -unsigned long PolsFF[] = { - 4, 1+2, - 8, 1+2, - 16, 1+2, - 32, 1 +4, - 64, 1+2 +8+16, - 128, 1+2, - 256, 1 +4+8+16, - 512, 1 +16, - 1024, 1+2+4+8 +32+64, - 2048, 1 +4, - 4096, 1+2 +8 +32+64+128, - 8192, 1+2 +8+16, - 16384, 1 +8 +32 +128, - 32768, 1 +4 +16+32, - 65536, 1 +4+8 +32, - 9, 2 +2*3, - 27, 1 +2*3, - 81, 2 +2*27, - 243, 1 +2*3, - 729, 2 +2*3 +1*9 +2*81, - 2187, 1 +2*9, - 6561, 2 +2*3 +2*9 +1*81 +2*243, - 19683, 1 +1*3 +2*9 +2*27, - 59049, 2 +1*3 +2*81 +2*243 +2*729, - 25, 2 +4*5, - 125, 3 +3*5, - 625, 2 +4*5 +4*25, - 3125, 3 +4*5, - 15625, 2 +1*25 +4*125 +1*625, - 49, 3 +6*7, - 343, 4 +6*49, - 2401, 3 +4*7 +5*49, - 16807, 4 +1*7, - 121, 2 + 7*11, - 1331, 9 + 2*11, - 14641, 2 +10*11 +8*121, - 169, 2 +12*13, - 2197, 11 + 2*13, - 28561, 2 +12*13 +3*169, - 289, 3 +16*17, - 4913, 14 + 1*17, - 361, 2 +18*19, - 6859, 17 + 4*19, - 529, 5 +21*23, - 12167, 18 + 2*23, - 841, 2 +24*29, - 24389, 27 + 2*29, - 961, 3 +29*31, - 29791, 28 + 1*31, - 1369, 2 +33*37, - 50653, 35 + 6*37, - 1681, 6 + 38* 41, - 1849, 3 + 42* 43, - 2209, 5 + 45* 47, - 2809, 2 + 49* 53, - 3481, 2 + 58* 59, - 3721, 2 + 60* 61, - 4489, 2 + 63* 67, - 5041, 7 + 69* 71, - 5329, 5 + 70* 73, - 6241, 3 + 78* 79, - 6889, 2 + 82* 83, - 7921, 3 + 82* 89, - 9409, 5 + 96* 97, - 10201, 2 + 97*101, - 10609, 5 +102*103, - 11449, 2 +103*107, - 11881, 6 +108*109, - 12769, 3 +101*113, - 16129, 3 +126*127, - 17161, 2 +127*131, - 18769, 3 +131*137, - 19321, 2 +138*139, - 22201, 2 +145*149, - 22801, 6 +149*151, - 24649, 5 +152*157, - 26569, 2 +159*163, - 27889, 5 +166*167, - 29929, 2 +169*173, - 32041, 2 +172*179, - 32761, 2 +177*181, - 36481, 19 +190*191, - 37249, 5 +192*193, - 38809, 2 +192*197, - 39601, 3 +193*199, - 44521, 2 +207*211, - 49729, 3 +221*223, - 51529, 2 +220*227, - 52441, 6 +228*229, - 54289, 3 +232*233, - 57121, 7 +237*239, - 58081, 7 +238*241, - 63001, 6 +242*251, -}; +static const UInt8 PolsFF[] = { +4, 3, +8, 3, +16, 3, +32, 5, +64, 27, +128, 3, +256, 29, +512, 17, +1024, 111, +2048, 5, +4096, 235, +8192, 27, +16384, 169, +32768, 53, +65536, 45, +131072, 9, +262144, 5123, +524288, 39, +1048576, 1779, +2097152, 101, +4194304, 8033, +8388608, 33, +16777216, 124585, +33554432, 325, +67108864, 17875, +134217728, 5805, +268435456, 8421, +536870912, 5, +1073741824, 207023, +2147483648, 9, +4294967296, 33433, +9, 8, +27, 7, +81, 56, +243, 7, +729, 179, +2187, 19, +6561, 593, +19683, 76, +59049, 2111, +177147, 19, +531441, 1064, +1594323, 7, +4782969, 49880, +14348907, 13387, +43046721, 6071, +129140163, 7, +387420489, 74054, +1162261467, 19, +3486784401, 3451793, +25, 22, +125, 18, +625, 122, +3125, 23, +15625, 1152, +78125, 18, +390625, 722, +1953125, 258, +9765625, 11607, +48828125, 18, +244140625, 96837, +1220703125, 118, +49, 45, +343, 298, +2401, 276, 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89, +2809, 2599, +148877, 210, +7890481, 27297, +418195493, 210, +3481, 3424, +205379, 352, +12117361, 9324, +714924299, 529, +3721, 3662, +226981, 486, +13845841, 13605, +844596301, 791, +4489, 4223, +300763, 467, +20151121, 39532, +1350125107, 199, +5041, 4906, +357911, 348, +25411681, 23082, +1804229351, 1342, +5329, 5115, +389017, 214, +28398241, 89357, +2073071593, 725, +6241, 6165, +493039, 787, +38950081, 17699, +3077056399, 471, +6889, 6808, +571787, 330, +47458321, 31044, +3939040643, 828, +7921, 7301, +704969, 353, +62742241, 38095, +9409, 9317, +912673, 965, +88529281, 64219, +10201, 9799, +1030301, 402, +104060401, 18081, +10609, 10511, +1092727, 304, +112550881, 30287, +11449, 11023, +1225043, 640, +131079601, 157292, +11881, 11778, +1295029, 212, +141158161, 141379, +12769, 11416, +1442897, 1014, +163047361, 7009, +16129, 16005, +2048383, 505, +260144641, 44580, +17161, 16639, +2248091, 522, +294499921, 168730, +18769, 17950, +2571353, 956, +352275361, 31787, +19321, 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3639, +375769, 373319, +230346397, 4289, +380689, 377607, +234885113, 2465, +383161, 382544, +237176659, 4331, +398161, 396902, +251239591, 3783, +410881, 407038, +263374721, 3202, +413449, 412174, +265847707, 1275, +418609, 417320, +270840023, 4524, +426409, 423799, +278445077, 2610, +434281, 431647, +286191179, 1975, +436921, 436262, +288804781, 3303, +452929, 452261, +304821217, 1341, +458329, 454946, +310288733, 2029, +466489, 465811, +318611987, 4093, +477481, 474029, +329939371, 10362, +491401, 488599, +344472101, 2101, +502681, 499847, +356400829, 2125, +516961, 514096, +371694959, 1427, +528529, 527080, +384240583, 5811, +537289, 536562, +393832837, 3659, +546121, 542429, +403583419, 8865, +552049, 551311, +410172407, 2967, +564001, 562502, +423564751, 4503, +573049, 570023, +433798093, 5297, +579121, 576844, +440711081, 9887, +591361, 588296, +454756609, 2296, +597529, 596758, +461889917, 2317, +619369, 618584, +487443403, 2359, +635209, 632023, +506261573, 2389, +654481, 646394, +529475129, 1615, +657721, 653669, +533411731, 1619, +674041, 669938, +553387661, 2461, +677329, 675686, +557441767, 3289, +683929, 678969, +565609283, 4960, +687241, 686414, +569722789, 4972, +703921, 703093, +590589719, 4184, +727609, 726758, +620650477, 4263, +734449, 728453, +629422793, 4282, +737881, 737024, +633839779, 6011, +744769, 743911, +642735647, 5173, +769129, 765623, +674526133, 5260, +776161, 765592, +683797841, 1759, +779689, 776159, +688465387, 6179, +786769, 785000, +697864103, 1769, +822649, 819023, +746142643, 4533, +829921, 828116, +756058031, 1805, +844561, 836297, +776151559, 2750, +863041, 851896, +801765089, 5571, +877969, 875163, +822656953, 3743, +885481, 884542, +833237621, 3762, +896809, 893023, +849278123, 3786, +908209, 902494, +865523177, 7621, +935089, 933160, +904231063, 1929, +942841, 941876, +915498611, 3878, +954529, 949647, +932574833, 1951, +966289, 964328, +949862087, 1961, +982081, 980105, +973242271, 4949, +994009, 992022, +991026973, 2984, +1018081, 1017083, +1027243729, 4025, +1026169, 1019081, +1039509197, 8101, +1038361, 1034287, +1058089859, 4074, +1042441, 1041430, +1064332261, 4074, +1062961, 1060913, +1095912791, 5141, +1067089, 1063995, +1102302937, 3094, +1079521, 1073290, +1121622319, 4153, +1100401, 1088865, +1154320649, 2095, +1104601, 1102506, +1160935651, 3146, +1125721, 1121479, +1194389981, 3181, +1129969, 1128909, +1201157047, 4249, +1142761, 1138491, +1221611509, 3201, +1181569, 1179398, +1284365503, 7606, +1190281, 1189192, +1298596571, 4362, +1194649, 1193561, +1305751357, 4367, +1203409, 1202315, +1320139673, 2191, +1216609, 1203378, +1341919727, 7716, +1229881, 1228774, +1363938029, 4434, +1247689, 1243223, +1393668613, 5583, +1261129, 1260008, +1416247867, 3367, +1274641, 1269007, +1439069689, 4505, +1324801, 1321365, +1524845951, 2285, +1329409, 1328261, +1532808577, 4607, +1352569, 1350248, +1573037747, 3484, +1371241, 1366559, +1605723211, 3511, +1394761, 1393587, +1647212741, 2355, 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1901639, +2633789341, 6903, +1957201, 1951618, +2738124199, 5583, +1985281, 1978239, +2797260929, 2815, +2024929, 2022086, +2881473967, 11381, +2036329, 2034904, +2905841483, 4279, +2042041, 2036331, +2918076589, 4281, +2053489, 2034863, +2942649737, 28657, +2070721, 2069289, +2979767519, 11505, +2093809, 2092365, +3029741623, 5785, +2105401, 2098148, +3054936851, 14508, +2111209, 2105399, +3067586677, 10169, +2128681, 2127225, +3105745579, 5833, +2163841, 2162376, +3183010111, 2936, +2193361, 2191883, +3248367641, 8883, +2199289, 2197808, +3261545587, 4447, +2211169, 2208200, +3288008303, 4456, +2217121, 2214157, +3301293169, 4453, +2229049, 2217107, +3327970157, 17914, +2247001, 2241007, +3368254499, 4495, +2283121, 2280110, +3449795831, 4522, +2319529, 2311916, +3532642667, 12182, +2343961, 2342432, +3588604291, 10715, +2380849, 2377768, +3673650007, 4624, +2399401, 2387011, +3716672149, 9292, +2411809, 2410259, +3745539377, 3103, +2430481, 2428941, +3789119879, 6217, +2455489, 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