A toy example of linear cryptnalaysis applying to a simple SPN cipher

linearc.c

#include <stdio.h>
#include <math.h>


/*
A toy example of linear cryptnalaysis applying to a simple SPN cipher: y = f[f[f[x]^K1]^K2]^...]^Kn, where f is a composition of "S" and "P" selected freely.
*/



int f[]		= {49698,60649,59560,57317,56228,57386,62831,63916,55143,61742,65005,50787,58475,52961,51872,54054,46833,38970,40059,43830,44919,38137,33212,36223,41908,34301,35134,45744,37048,47666,48755,42997,31425,21514,20555,26374,25415,22729,19852,16719,28548,18893,17678,32384,23688,30210,29251,27589,3602,8409,9368,5077,6036,11290,14687,13724,6999,15646,12765,2643,10331,721,1680,7958,7763,12440,13529,916,2005,15451,10526,9693,2838,11615,8604,6674,14362,4752,5841,3927,53859,64680,63721,53156,52197,61547,58670,59885,50982,57711,60844,54818,62506,56992,56033,50023,58016,52331,51242,65383,64294,49320,54765,55598,63461,53676,56687,59105,50409,61027,59938,62372,16081,4122,5211,8982,10071,7385,2460,1375,11156,3549,286,14992,6296,12818,13907,12245,62177,56362,55403,61222,60263,53481,50604,51567,59300,49645,52526,63136,54440,65058,64099,58341,27264,17483,16394,30535,29446,18568,24013,20750,32709,22924,21839,28353,19657,26179,25090,31620,34354,43257,44216,39925,40884,42042,45439,48572,37751,46398,47613,33395,41083,35569,36528,38710,23107,29832,28873,18308,17349,30795,27918,25037,20230,26959,25996,24066,31754,22144,21185,19271,18946,25801,24712,22469,21380,26634,32079,29068,24391,30990,30157,20035,27723,18113,17024,23302,42672,34939,35898,47991,48950,33976,37373,40254,46069,38332,39295,41713,33017,43635,44594,47028,11920,91,1050,13143,14102,3224,6621,5406,15317,7580,4447,10961,2265,8787,9746,16276,38515,47288,48377,35764,36853,46203,41278,44541,33590,42367,43452,37426,45114,39600,40689,34679,19481,25298,26259,20958,21919,28177,31572,30615,22876,32533,29654,18520,27216,16602,17563,23837,14538,5633,4672,9485,8524,6850,3975,836,11663,3014,1797,15499,7811,13321,12360,10702,62714,55857,56944,59709,60796,55026,50103,53108,57791,51190,52021,61627,53939,63545,64632,58878,32809,44770,43683,40430,39343,41505,46948,48039,38252,45861,49126,33896,42592,36074,34987,37165,36968,48803,47842,36271,35310,45664,42789,44006,34093,41828,44967,37929,46625,40107,39146,33132,23640,29331,30418,16799,17886,32336,27413,26582,18717,28500,25495,22553,31249,20635,21722,19804,27803,16976,17937,29020,29981,20115,23510,22293,31198,24471,21332,26842,19154,24664,25625,32159,45290,40481,39520,44333,43372,37602,34727,35684,42415,33766,36645,46251,38563,48169,47208,41454,31962,21009,22096,24861,25948,24274,19351,18260,27039,20438,17173,30875,23187,28697,29784,28126,58555,51824,52785,63868,64829,50867,54262,57141,61950,55223,56180,57594,49906,59512,60473,62911,2057,9922,8835,5582,4495,10753,16196,13191,7500,15109,14278,3144,11840,1226,139,6413,54392,64179,65266,51647,52734,63088,58165,61430,49469,59252,60343,53305,62001,55483,56570,50556,50233,60146,61107,55806,56767,58929,62324,65463,53628,63285,64502,49272,57968,51450,52411,54589,10379,1600,513,13644,12557,2691,8134,4869,15822,7047,5956,11466,3778,9288,8201,14735,41131,36448,35361,48492,47405,33443,38886,39717,46574,37799,40804,42218,34530,44136,43049,45487,6216,13955,12994,1423,462,14912,12037,9158,3341,11076,10119,7177,15873,5259,4298,2380,34615,43516,44477,39664,40625,42303,45178,48313,37490,46139,47352,33654,41342,35828,36789,38451,62436,56623,55662,60963,60002,53740,50345,51306,59041,49384,52267,63397,54701,65319,64358,58080,16340,4383,5470,8723,9810,7644,2201,1114,10897,3288,27,15253,6557,13079,14166,11984,19207,26060,24973,22208,21121,26895,31818,28809,24130,30731,29896,20294,27982,18372,17285,23043,23366,30093,29132,18049,17088,31054,27659,24776,19971,26698,25737,24327,32015,22405,21444,19010,38774,47549,48636,35505,36592,46462,41019,44280,33331,42106,43193,37687,45375,39861,40948,34418,42933,35198,36159,47730,48691,34237,37112,39995,45808,38073,39034,41972,33276,43894,44855,46769,31684,21775,20814,26115,25154,22988,19593,16458,28289,18632,17419,32645,23949,30471,29510,27328,47092,39231,40318,43571,44658,38396,32953,35962,41649,34040,34875,46005,37309,47927,49014,42736,12181,350,1311,12882,13843,3485,6360,5147,15056,7321,4186,11220,2524,9046,10007,16017,49959,60908,59821,57056,55969,57647,62570,63657,54882,61483,64744,51046,58734,53220,52133,53795,8022,12701,13788,657,1744,15710,10267,9432,2579,11354,8345,6935,14623,5013,6100,3666,3863,8668,9629,4816,5777,11551,14426,13465,6738,15387,12504,2902,10590,980,1941,7699,58277,52590,51503,65122,64035,49581,54504,55339,63200,53417,56426,59364,50668,61286,60199,62113,27525,17742,16655,30274,29187,18829,23752,20491,32448,22665,21578,28612,19916,26438,25351,31361,54118,64941,63980,52897,51936,61806,58411,59624,50723,57450,60585,55079,62767,57253,56292,49762,16426,28385,27296,24045,22956,25122,30567,31652,21871,29478,32741,17515,26211,19689,18600,20782,13561,6706,7795,10558,11647,5873,948,3959,8636,2037,2870,12472,4784,14394,15483,9725,63689,54786,53827,58638,57679,56001,53124,49991,60812,52165,50950,64648,56960,62474,61515,59853,35866,41681,42640,37341,38300,44562,47959,46996,39263,48918,46037,34907,43603,32985,33944,40222,40027,45712,46801,33180,34269,48723,43798,42965,35102,44887,41876,38938,47634,37016,38105,36191,20587,32416,31457,19884,18925,29283,26406,27621,17710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4809,50855,54242,57121,61930,55203,56160,57582,49894,59500,60461,62891,2077,9942,8855,5594,4507,10773,16208,13203,7512,15121,14290,3164,11860,1246,159,6425,54380,64167,65254,51627,52714,63076,58145,61410,49449,59232,60323,53293,61989,55471,56558,50536,50221,60134,61095,55786,56747,58917,62304,65443,53608,63265,64482,49260,57956,51438,52399,54569,10399,1620,533,13656,12569,2711,8146,4881,15834,7059,5968,11486,3798,9308,8221,14747,41151,36468,35381,48504,47417,33463,38898,39729,46586,37811,40816,42238,34550,44156,43069,45499,6236,13975,13014,1435,474,14932,12049,9170,3353,11088,10131,7197,15893,5279,4318,2392,1323,11232,12193,6380,7341,10019,12902,16037,4206,13863,15076,362,9058,2536,3497,5167,29176,24371,23410,27711,26750,21488,18101,19062,25789,17140,20023,30137,22449,32059,31098,24828,48584,37635,38722,40975,42062,40896,35461,34374,43149,36548,33287,47497,39809,45323,46410,44236,51483,59344,58257,54492,53405,60179,65110,62101,56414,64023,63188,52570,61266,50648,49561,55327,55642,63377,62416,50333,49372,64338,60951,58068,52255,59990,59029,56603,65299,54681,53720,51294,5482,15265,16352,2221,3308,14178,8743,12004,47,9830,10917,4395,13091,6569,7656,1134,9641,2914,3875,14446,15407,1953,4836,7719,12524,5797,6758,8680,992,10602,11563,13485,63960,55059,54098,58399,57438,56272,52885,49750,60573,51924,50711,64921,57233,62747,61786,59612,13800,6947,8034,10287,11374,6112,677,3686,8365,1764,2599,12713,5025,14635,15722,9452,44425,33602,34563,45134,46095,36737,39620,38407,47308,40581,37446,43464,35776,41290,42251,48269,16699,28656,27569,23804,22717,25395,30326,31413,21630,29239,32500,17786,26482,19960,18873,20543,40266,45953,47040,32909,33996,48962,43527,42692,34831,44614,41605,39179,47875,37257,38344,35918,36107,41920,42881,37068,38029,44803,47686,46725,38990,48647,45764,35146,43842,33224,34185,39951,25017,20338,19251,31870,30783,17329,22260,23095,29948,21173,24182,26104,18416,28026,26939,28861,59801,51026,49939,62558,61471,52113,57044,53783,64732,55957,54870,60888,53200,58714,57627,63645,20858,32689,31728,19645,18684,29554,26167,27380,17471,25206,28341,21819,30515,23993,23032,16510};
int finv[]	= {47562, 26930, 59656, 31136, 51522, 22970, 10736, 35160, 55656, 43472, 18842, 2530, 6416, 14728, 39282, 63786, 45634, 25274, 58096, 29272, 49866, 21042, 8712, 33440, 53776, 41608, 17010, 554, 4712, 13008, 37530, 62178, 49000, 28624, 61338, 32738, 53008, 24456, 12146, 36650, 57290, 44850, 20232, 4000, 8002, 16314, 40944, 65368, 47120, 26760, 59506, 30762, 51304, 22736, 10394, 35042, 55362, 43194, 18672, 2136, 6346, 14386, 38920, 63648, 48193, 27831, 60667, 31839, 52423, 23601, 11279, 36011, 56347, 44175, 19569, 3111, 7279, 15579, 40087, 64737, 45255, 24625, 57359, 28843, 49217, 20663, 8443, 32863, 53359, 41179, 16535, 225, 4123, 12431, 36977, 61479, 46619, 26255, 58993, 30247, 50799, 22235, 9879, 34529, 54849, 42679, 18171, 1631, 5831, 13873, 38415, 63147, 45935, 25563, 58263, 29665, 49947, 21391, 9073, 33575, 54215, 41777, 17167, 939, 4929, 13239, 37883, 62303, 45411, 25054, 57750, 29157, 49438, 20867, 8565, 33062, 53702, 41269, 16643, 430, 4421, 12726, 37374, 61779, 48670, 28291, 61045, 32294, 52835, 24286, 11926, 36581, 56901, 44726, 20222, 3667, 7878, 15925, 40451, 65198, 46278, 25653, 58371, 29870, 50245, 21686, 9470, 33875, 54371, 42206, 17558, 1253, 5150, 13443, 38005, 62502, 48453, 28086, 60926, 32083, 52678, 23861, 11523, 36270, 56606, 44419, 19829, 3366, 7523, 15838, 40342, 64997, 46365, 25988, 58748, 29993, 50532, 21981, 9625, 34284, 54604, 42425, 17917, 1364, 5577, 13628, 38148, 62893, 47716, 27357, 60057, 31468, 51741, 23172, 10876, 35369, 56009, 43580, 18948, 2733, 6732, 15033, 39677, 64084, 47948, 27577, 60413, 31572, 52169, 23356, 11012, 35757, 56093, 43908, 19324, 2857, 7012, 15325, 39833, 64492, 47049, 26428, 59140, 30637, 51020, 22457, 10237, 34644, 55140, 42973, 18329, 2028, 5917, 14212, 38780, 63273, 23626, 52402, 36088, 11344, 27842, 48186, 31744, 60584, 15384, 7296, 64634, 39970, 44128, 56536, 3218, 19690, 20674, 49210, 32768, 8360, 24650, 45234, 28920, 57424, 12384, 4312, 61586, 37098, 40984, 53376, 122, 16418, 22040, 50816, 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30378, 46784, 26168, 9978, 34386, 50760, 22192, 18064, 1768, 54882, 42714, 38520, 63008, 5658, 13954, 57464, 28704, 45082, 24706, 8336, 33000, 49250, 20698, 16634, 82, 53320, 41136, 36866, 61610, 4288, 12344, 60560, 31976, 48226, 27866, 11384, 35872, 52250, 23682, 19458, 3242, 56512, 44088, 40186, 64594, 7240, 15536, 34685, 10020, 22300, 51081, 30612, 59373, 26473, 47068, 63484, 38745, 14157, 6068, 1801, 18348, 42948, 55101, 35732, 11245, 23401, 52188, 31613, 60196, 27420, 48009, 64265, 39852, 15300, 6973, 3068, 19289, 43853, 56244, 35580, 10841, 23117, 51892, 31241, 60076, 27332, 47677, 64125, 39460, 14876, 6793, 2708, 19181, 43625, 56028, 34057, 9644, 21956, 50493, 30204, 58713, 25933, 46516, 62868, 38381, 13673, 5596, 1405, 17700, 42268, 54665, 36243, 11758, 23910, 52693, 32126, 60707, 27925, 48518, 64774, 40357, 15811, 7486, 3573, 19798, 44366, 56755, 33918, 9251, 21525, 50310, 29843, 58606, 25702, 46293, 62709, 37974, 13390, 5299, 1030, 17573, 42179, 54334, 36358, 11941, 24259, 52798, 32501, 61014, 28238, 48819, 65171, 40686, 15974, 7893, 3710, 20003, 44565, 56966, 33269, 8534, 20814, 49587, 28934, 57765, 25027, 45374, 61822, 37155, 12565, 4486, 403, 16878, 41318, 53717, 33777, 9047, 21323, 50111, 29447, 58273, 25551, 45883, 62331, 37679, 13073, 4999, 927, 17387, 41831, 54225, 34311, 9889, 22223, 50747, 30449, 58967, 26187, 46783, 63135, 38635, 13927, 5841, 1659, 17967, 42513, 54919, 32891, 8239, 20497, 49287, 28831, 57579, 24679, 45265, 61681, 36951, 12363, 4287, 7, 16545, 41167, 53307, 35999, 11499, 23655, 52433, 31867, 60463, 27665, 48263, 64519, 40097, 15567, 7227, 3313, 19543, 44107, 56511, 34826, 10402, 22728, 51248, 30962, 59482, 26688, 47288, 63640, 39136, 14442, 6354, 2160, 18472, 43026, 55434, 36850, 12122, 24384, 53176, 32522, 61346, 28616, 48944, 65392, 40744, 16146, 8074, 3992, 20448, 44906, 57298, 33432, 8928, 21098, 49874, 29296, 57896, 25106, 45706, 61962, 37538, 13000, 4656, 754, 16986, 41536, 53944, 35184, 10536, 22802, 51594, 31128, 59872, 26986, 47570, 63986, 39258, 14656, 6584, 2314, 18850, 43464, 55600, 55309, 43172, 18636, 2105, 6388, 14429, 38985, 63676, 47260, 26857, 59501, 30932, 51321, 22572, 10260, 34957, 57332, 44893, 20297, 4028, 7949, 16292, 40908, 65337, 49017, 28460, 61204, 32653, 53148, 24553, 12141, 36820, 53916, 41705, 17005, 724, 4729, 12844, 37396, 62093, 45581, 25252, 58060, 29241, 49908, 21085, 8777, 33468, 55673, 43308, 18708, 2445, 6556, 14825, 39277, 63956, 47604, 26973, 59721, 31164, 51469, 22948, 10700, 35129, 54259, 41822, 17222, 949, 4878, 13219, 37829, 62262, 45942, 25381, 58131, 29582, 50069, 21478, 9070, 33747, 54798, 42659, 18117, 1590, 5875, 13918, 38470, 63157, 46741, 26342, 58990, 30419, 50806, 22053, 9747, 34446, 53366, 40997, 16403, 142, 4245, 12518, 36974, 61651, 45299, 24670, 57414, 28853, 49166, 20643, 8389, 32822, 56469, 44262, 19566, 3283, 7286, 15397, 39955, 64654, 48142, 27811, 60613, 31798, 52467, 23646, 11334, 36021, 56721, 44519, 19819, 3551, 7543, 15649, 40223, 64907, 48395, 28079, 60865, 32055, 52735, 23899, 11591, 36273, 54391, 42017, 17439, 1163, 5265, 13543, 37995, 62687, 46335, 25691, 58439, 29873, 50187, 21679, 9409, 33847, 56843, 44719, 20161, 3639, 7935, 15963, 40519, 65201, 48785, 28391, 61035, 32479, 52855, 24097, 11807, 36491, 53759, 41307, 16711, 433, 4363, 12719, 37313, 61751, 45431, 24865, 57631, 29067, 49553, 20967, 8555, 33247, 55162, 42786, 18200, 1920, 6034, 14314, 38752, 63448, 47096, 26448, 59210, 30642, 50944, 22440, 10178, 34618, 56210, 44010, 19296, 3032, 7034, 15138, 39704, 64384, 47872, 27560, 60354, 31546, 52216, 23376, 11082, 35762, 56056, 43600, 19018, 2738, 6656, 15016, 39618, 64058, 47738, 27170, 59928, 31360, 51858, 23274, 10848, 35544, 54528, 42408, 17858, 1338, 5624, 13648, 38218, 62898, 46482, 26090, 58720, 30168, 50554, 21794, 9496, 34176, 13309, 4948, 62284, 37817, 41732, 54189, 969, 17212, 21372, 49961, 33565, 9092, 25497, 46060, 29540, 58333, 13828, 5805, 63177, 38460, 42749, 54868, 1612, 18105, 22169, 50924, 34404, 9949, 26236, 46633, 30237, 59012, 12412, 4137, 61469, 36996, 41113, 53484, 100, 16605, 20733, 49236, 32844, 8377, 24580, 45229, 28873, 57404, 15513, 7404, 64612, 40157, 44156, 56361, 3101, 19588, 23556, 52397, 36041, 11324, 27901, 48212, 31820, 60601, 14339, 6318, 63686, 38965, 43262, 55379, 2117, 18614, 22678, 51429, 34915, 10462, 26741, 47142, 30750, 59523, 16382, 8019, 65349, 40886, 44803, 57262, 4038, 20277, 24437, 53030, 36638, 12163, 28566, 49125, 32611, 61406, 12950, 4837, 62051, 37598, 41589, 53798, 542, 17027, 20995, 49838, 33478, 8757, 25342, 45651, 29253, 58038, 14709, 6438, 63774, 39299, 43414, 55781, 2403, 18910, 23038, 51539, 35141, 10678, 26883, 47534, 31174, 59701, 14193, 5927, 63259, 38799, 42903, 55265, 1903, 18395, 22523, 51039, 34625, 10167, 26383, 47019, 30663, 59185, 15255, 7137, 64367, 39899, 43889, 56103, 2843, 19343, 23311, 52139, 35783, 11057, 27643, 47967, 31553, 60343, 15099, 6751, 64065, 39607, 43535, 55979, 2759, 18993, 23153, 51751, 35355, 10895, 27287, 47841, 31343, 60123, 13583, 5547, 62919, 38193, 42491, 54623, 1345, 17847, 21911, 50657, 34159, 9691, 25969, 46375, 29979, 58767, 15770, 7650, 64872, 40400, 44402, 56618, 3344, 19848, 23816, 52640, 36298, 11570, 28144, 48472, 32066, 60858, 13426, 5162, 62480, 38024, 42138, 54498, 1128, 17616, 21744, 50264, 33858, 9402, 25608, 46240, 29898, 58418, 15880, 7840, 65226, 40498, 44784, 56920, 3650, 20154, 24218, 52962, 36456, 11984, 28274, 48682, 32272, 61064, 12784, 4440, 61762, 37306, 41224, 53664, 458, 16690, 20850, 49450, 33040, 8584, 24986, 45538, 29032, 57808, 30509, 59252, 26508, 46873, 34788, 10141, 22489, 51052, 1884, 18425, 42941, 55108, 63401, 38668, 14132, 6093, 31716, 60317, 27609, 47980, 35629, 11124, 23436, 51993, 2985, 19212, 43828, 56269, 64348, 39929, 15293, 6980, 31324, 60153, 27325, 47684, 35497, 10764, 23092, 51917, 2605, 19060, 43660, 55833, 64228, 39581, 15065, 6764, 30121, 58636, 25908, 46541, 34140, 9721, 21949, 50500, 1508, 17821, 42457, 54636, 62765, 38260, 13708, 5401, 32227, 60830, 28118, 48485, 36142, 11635, 23941, 52502, 3494, 19717, 44339, 56782, 64853, 40438, 15806, 7491, 29742, 58483, 25733, 46102, 34019, 9374, 21718, 50277, 1109, 17654, 42174, 54339, 62630, 37893, 13363, 5326, 32422, 60933, 28211, 48846, 36437, 12022, 24254, 52803, 3811, 20126, 44758, 56933, 65070, 40563, 16005, 7702, 29013, 57846, 25022, 45379, 33190, 8453, 20787, 49614, 302, 16755, 41349, 53526, 61923, 37278, 12758, 4453, 29521, 58359, 25531, 45903, 33703, 8961, 21311, 50123, 811, 17279, 41857, 54039, 62447, 37787, 13271, 4961, 30375, 58881, 26175, 46795, 34385, 9975, 22203, 50767, 1775, 18075, 42711, 54881, 63019, 38527, 13953, 5655, 28715, 57471, 24705, 45079, 33007, 8347, 20695, 49249, 81, 16631, 41147, 53327, 61607, 36865, 12351, 4299, 31983, 60571, 27863, 48225, 35883, 11391, 23681, 52247, 3239, 19457, 44095, 56523, 64593, 40183, 15547, 7247, 30890, 59394, 26680, 47296, 34898, 10490, 22704, 51272, 2280, 18576, 43226, 55394, 63520, 39032, 14466, 6170, 32594, 61434, 28592, 48968, 36778, 12034, 24376, 53184, 3872, 20344, 44930, 57114, 65512, 40848, 16346, 8034, 29416, 58000, 25306, 45666, 33312, 8824, 21122, 49690, 682, 16898, 41528, 53952, 62034, 37626, 12976, 4680, 31008, 59768, 27010, 47386, 35304, 10640, 23002, 51554, 2386, 18938, 43440, 55624, 63914, 39170, 14648, 6592, 11757, 36244, 52700, 23913, 60708, 32125, 48521, 27932, 40364, 64777, 7485, 15812, 19801, 3580, 56756, 44365, 9252, 33917, 50313, 21532, 58605, 29844, 46300, 25705, 37977, 62716, 5300, 13389, 17580, 1033, 54333, 42180, 11948, 36361, 52797, 24260, 61017, 32508, 48820, 28237, 40685, 65172, 7900, 15977, 20004, 3709, 56969, 44572, 8537, 33276, 49588, 20813, 57772, 28937, 45373, 25028, 37156, 61821, 4489, 12572, 16877, 404, 53724, 41321, 10019, 34686, 51078, 22293, 59374, 30611, 47061, 26470, 38742, 63477, 6067, 14158, 18341, 1798, 55102, 42947, 11246, 35731, 52181, 23398, 60195, 31614, 48006, 27413, 39845, 64262, 6974, 15299, 19286, 3061, 56243, 43854, 10838, 35573, 51891, 23118, 60069, 31238, 47678, 27331, 39459, 64126, 6790, 14869, 19182, 2707, 56021, 43622, 9637, 34054, 50494, 21955, 58710, 30197, 46515, 25934, 38382, 62867, 5589, 13670, 17699, 1406, 54662, 42261, 10401, 34823, 51259, 22735, 59479, 30961, 47295, 26699, 39147, 63647, 6353, 14439, 18479, 2171, 55431, 43025, 12119, 36849, 53183, 24395, 61345, 32519, 48955, 28623, 40751, 65403, 8071, 16145, 20459, 3999, 57297, 44903, 8939, 33439, 49873, 21095, 57903, 29307, 45703, 25105, 37537, 61959, 4667, 13007, 16983, 753, 53951, 41547, 10543, 35195, 51591, 22801, 59883, 31135, 47569, 26983, 39255, 63985, 6591, 14667, 18849, 2311, 55611, 43471, 9050, 33778, 50104, 21312, 58274, 29450, 45872, 25544, 37672, 62320, 5002, 13074, 17376, 920, 54226, 41834, 9890, 34314, 50736, 22216, 58970, 30450, 46776, 26176, 38624, 63128, 5842, 13930, 17960, 1648, 54922, 42514, 8232, 32880, 49290, 20498, 57568, 28824, 45266, 24682, 36954, 61682, 4280, 12352, 16546, 10, 53296, 41160, 11488, 35992, 52434, 23658, 60456, 31856, 48266, 27666, 40098, 64522, 7216, 15560, 19546, 3314, 56504, 44096, 41821, 54260, 956, 17225, 13220, 4877, 62265, 37836, 25388, 45945, 29581, 58132, 21481, 50076, 33748, 9069, 42660, 54797, 1593, 18124, 13917, 5876, 63164, 38473, 26345, 46748, 30420, 58989, 22060, 50809, 34445, 9748, 41004, 53369, 141, 16404, 12521, 4252, 61652, 36973, 24669, 45300, 28860, 57417, 20644, 49165, 32825, 8396, 44265, 56476, 3284, 19565, 15404, 7289, 64653, 39956, 27812, 48141, 31801, 60620, 23645, 52468, 36028, 11337, 43171, 55310, 2102, 18629, 14430, 6387, 63669, 38982, 26854, 47253, 30931, 59502, 22565, 51318, 34958, 10259, 44894, 57331, 4021, 20294, 16291, 7950, 65334, 40901, 28453, 49014, 32654, 61203, 24550, 53141, 36819, 12142, 41702, 53909, 723, 17006, 12837, 4726, 62094, 37395, 25251, 45582, 29238, 58053, 21086, 49907, 33461, 8774, 43301, 55670, 2446, 18707, 14822, 6549, 63955, 39278, 26974, 47603, 31157, 59718, 22947, 51470, 35126, 10693, 42785, 55159, 1931, 18207, 14311, 6033, 63455, 38763, 26459, 47103, 30641, 59207, 22447, 50955, 34615, 10177, 44007, 56209, 3039, 19307, 15137, 7031, 64395, 39711, 27567, 47883, 31543, 60353, 23387, 52223, 35761, 11079, 43611, 56063, 2737, 19015, 15023, 6667, 64055, 39617, 27169, 47735, 31371, 59935, 23271, 51857, 35551, 10859, 42415, 54539, 1335, 17857, 13659, 5631, 62897, 38215, 26087, 46481, 30175, 58731, 21793, 50551, 34187, 9503, 44522, 56722, 3544, 19808, 15650, 7546, 64896, 40216, 28072, 48384, 32058, 60866, 23888, 52728, 36274, 11594, 42018, 54394, 1152, 17432, 13546, 5266, 62680, 37984, 25680, 46328, 29874, 58442, 21672, 50176, 33850, 9410, 44712, 56832, 3642, 20162, 15952, 7928, 65202, 40522, 28394, 48786, 32472, 61024, 24098, 52858, 36480, 11800, 41296, 53752, 434, 16714, 12712, 4352, 61754, 37314, 24866, 45434, 29056, 57624, 20970, 49554, 33240, 8544, 6317, 14340, 38972, 63689, 55380, 43261, 18617, 2124, 51436, 22681, 10461, 34916, 47145, 26748, 59524, 30749, 8020, 16381, 40889, 65356, 57261, 44804, 20284, 4041, 53033, 24444, 12164, 36637, 49132, 28569, 61405, 32612, 4844, 12953, 37597, 62052, 53801, 41596, 17028, 541, 49837, 20996, 8764, 33481, 45652, 25341, 58041, 29260, 6441, 14716, 39300, 63773, 55788, 43417, 18909, 2404, 51540, 23037, 10681, 35148, 47533, 26884, 59708, 31177, 4947, 13310, 37814, 62277, 54190, 41731, 17205, 966, 49958, 21365, 9091, 33566, 46053, 25494, 58334, 29539, 5806, 13827, 38453, 63174, 54867, 42750, 18102, 1605, 50917, 22166, 9950, 34403, 46630, 26229, 59011, 30238, 4134, 12405, 36995, 61470, 53477, 41110, 16606, 99, 49235, 20734, 8374, 32837, 45230, 24579, 57397, 28870, 7397, 15510, 40158, 64611, 56358, 44149, 19587, 3102, 52398, 23555, 11317, 36038, 48211, 27902, 60598, 31813, 7649, 15767, 40411, 64879, 56615, 44401, 19855, 3355, 52651, 23823, 11569, 36295, 48479, 28155, 60855, 32065, 5159, 13425, 38031, 62491, 54497, 42135, 17627, 1135, 50271, 21755, 9399, 33857, 46251, 25615, 58417, 29895, 7851, 15887, 40497, 65223, 56927, 44795, 20151, 3649, 52961, 24215, 11995, 36463, 48679, 28273, 61071, 32283, 4447, 12795, 37303, 61761, 53675, 41231, 16689, 455, 49447, 20849, 8591, 33051, 45537, 24983, 57819, 29039, 5930, 14194, 38792, 63248, 55266, 42906, 18384, 1896, 51032, 22512, 10170, 34626, 47008, 26376, 59186, 30666, 7138, 15258, 39888, 64360, 56106, 43890, 19336, 2832, 52128, 23304, 11058, 35786, 47960, 27632, 60346, 31554, 6744, 15088, 39610, 64066, 55968, 43528, 18994, 2762, 51754, 23154, 10888, 35344, 47842, 27290, 60112, 31336, 5536, 13576, 38194, 62922, 54616, 42480, 17850, 1346, 50658, 21914, 9680, 34152, 46378, 25970, 58760, 29968};

int HW(int x){
	int res = 0;
	int i;
	for(i=0; i<16; ++i)
		res += (x>>i)&1;
	return res;
}

int cipher(int x){

	const int Ka = 0x32fc;
	const int Kb = 0x649e;
	const int Kc = 0x3094;
	const int Kd = 0x32f;
	return f[f[f[x^Ka]^Kb]^Kc]^Kd;

}

void main(){
	int Kd, j, Imask, Omask, res, cnt = 0;
	
	Imask=0x0001;
	Omask=0xe5a;
	//It is tested in another program that the one round linear trail from 0x0001 to 0x1040 is of the bias = 1/4

	for(Kd=0; Kd<65536; ++Kd){
		res = 0;
		for(j=0; j<65536; ++j)
			res += HW( (j&Imask)^(finv[cipher(j)^Kd]&Omask) )%2;
		if (abs(res-32768) == 4096){
			printf("[%d] \t key=%4x \n",cnt, Kd);
			++cnt;
		}
	}

	return;
}