### This work done by Omar A. AbuGhneim from Jordan University (Email: o_abughneim@yahoo.com). # There are 267 groups of order 64. Among them, there are 259 groups that # admit (64,28,12) difference sets. The other 8 groups do not have any # (64,28,12) difference sets. We wrote programs using the software GAP # to construct all (64,28,12) difference sets in the 259 groups of order # 64 that admit (64,28,12) difference sets. # We refer to the groups as they appear in the SmallGroups library of # the software package GAP. For instance, when we work in groups of # order 64 and write [64,14] we mean group number 14 of order 64 in the # GAP library. # The 8 groups that do not admit (64,28,12) difference sets are # [64, 1], [64, 38], [64, 47], [64, 50], [64, 52], [64, 53], [64, 54], # and [64, 186]. Indeed, these groups are the ones that have either # the cyclic group of order 32 as a factor group or have the dihedral # group of order 32 as a factor group. # Also, we find all (64,28,12) difference sets that are reversible # i.e. all (64,28,12) difference sets D with D=D^(-1). There are 184 # groups of order 64 that have reversible (64,28,12) difference sets. # These groups are [64,i] where i in {2, 3, 4, 5, 8, 9, 10, 11, 12, 13, # 15, 16, 18, 20, 22, 23, 24, 25, 28, 30, 31, 32, 33, 34, 35, 36, 37, 40, # 41, 42, 43, 45, 46, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, # 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 87, # 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101, 102, 104, 105, 106, # 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 123, 126, # 127, 128, 129, 130, 131, 133, 134, 135, 138, 140, 141, 142, 144, 145, 146, # 147, 149, 150, 151, 152, 153, 155, 156, 157, 159, 160, 161, 162, 163, 164, # 166, 167, 169, 170, 172, 173, 174, 177, 178, 179, 182, 184, 187, 190, 192, # 193, 194, 195, 196, 197, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, # 210, 211, 213, 214, 215, 216, 219, 221, 222, 226, 227, 231, 232, 234, 236, # 240, 241, 242, 245, 247, 249, 250, 251, 254, 260, 261, 263, 267 }. # We used the software GAP to find all (64,28,12) difference sets and # reversible (64,28,12) difference sets. # In this file we list all inequivalent (64,28,12) difference sets # in group [64,132]. Also, we determine the nonisomorphic # symmetric (64,28,12) designs that rise from these DSs. # Note that there is no reversible (64,28,12) difference sets in # group [64,132]. # To determine the nonisomorphic symmetric (64,28,12) designs, we used # the DESIGN package for GAP, Version 1.6, 2011, by L.H. Soicher, # http://designtheory.org/software/gap design/. # Note: The GAP command 'e:=Elements(SmallGroup(64,132));' can be # used to create a list e of the elements of the group [64,132]. # In our list of (64,28,12) DSs in group [64,132], we have [1, # 2, 3, 4, 5, 8, 9, 12, 13, 15, 16, 22, 24, 25, 27, # 29, 30, 34, 38, 39, 40, 41, 42, 46, 50, 52, 54, 63]. # This list denotes the elements [ e[1], e[2], e[3], # e[4], e[5], e[8], e[9], e[12], e[13], e[15], e[16], e[22], e[24], e[25], e[27], e[29], # e[30], e[34], e[38], e[39], e[40], e[41], e[42], e[46], e[50], e[52], e[54], e[63]] # where e is the list of the elements of the group [64,132] as they # appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,132));' ########################### ########################### ########################### ### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs ### that rise from these DSs in group [64, 132] ### The number of inequivalent (64,28,12) DSs in group [64,132] is 3786 ### The list of all inequivalent (64,28,12) DSs in group [64,132] is DS132:=[ [ 1, 2, 3, 4, 5, 8, 9, 12, 13, 15, 16, 22, 24, 25, 27, 29, 30, 34, 38, 39, 40, 41, 42, 46, 50, 52, 54, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 12, 13, 15, 16, 22, 24, 25, 27, 29, 30, 33, 34, 38, 39, 40, 41, 42, 46, 50, 52, 53 ], [ 1, 2, 3, 4, 5, 8, 9, 12, 13, 14, 18, 19, 22, 25, 27, 29, 30, 34, 38, 41, 42, 47, 50, 52, 54, 56, 61, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 12, 13, 14, 18, 19, 22, 25, 27, 29, 30, 33, 34, 38, 41, 42, 47, 50, 52, 53, 56, 61 ], [ 1, 2, 3, 4, 5, 8, 9, 12, 13, 14, 18, 19, 22, 24, 25, 27, 29, 30, 34, 38, 41, 42, 46, 50, 52, 54, 56, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 12, 13, 14, 18, 19, 22, 24, 25, 27, 29, 30, 33, 34, 38, 41, 42, 46, 50, 52, 53, 56 ], [ 1, 2, 3, 4, 5, 7, 9, 11, 12, 13, 15, 17, 21, 23, 29, 32, 37, 41, 43, 44, 49, 53, 54, 55, 56, 57, 58, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 11, 12, 13, 15, 17, 21, 23, 29, 32, 33, 37, 41, 43, 44, 49, 55, 56, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 15, 17, 21, 23, 29, 32, 36, 41, 43, 44, 49, 53, 54, 55, 57, 58, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 15, 17, 21, 23, 29, 32, 33, 36, 41, 43, 44, 49, 55, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 14, 15, 19, 21, 23, 32, 33, 36, 39, 43, 44, 49, 50, 51, 52, 53, 54, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 13, 14, 15, 19, 21, 23, 32, 34, 35, 36, 39, 43, 44, 49, 50, 51, 52, 55, 57, 58 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 13, 14, 15, 19, 21, 23, 28, 29, 30, 32, 33, 36, 39, 43, 44, 51, 55, 57, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 11, 13, 15, 16, 17, 18, 21, 23, 26, 31, 33, 38, 43, 46, 52, 53, 55, 57, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 11, 13, 15, 16, 17, 18, 21, 23, 26, 31, 33, 38, 39, 46, 52, 55, 58, 59, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 11, 13, 15, 16, 17, 18, 21, 23, 26, 31, 33, 38, 39, 43, 46, 52, 55, 60, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 16, 17, 18, 21, 23, 24, 30, 33, 36, 39, 48, 53, 54, 56, 58, 59, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 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9, 10, 11, 12, 13, 15, 19, 30, 33, 38, 40, 41, 43, 46, 52, 54, 56, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 22, 24, 27, 35, 36, 37, 42, 44, 50, 53, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 19, 30, 33, 38, 40, 46, 49, 52, 53, 54, 56, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 35, 38, 40, 52, 54, 55, 56, 57, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 35, 36, 38, 39, 40, 46, 49, 52, 54, 55, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 35, 36, 38, 39, 40, 44, 46, 52, 54, 55, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 34, 35, 36, 38, 40, 46, 49, 52, 54, 57, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 34, 35, 36, 38, 40, 44, 46, 52, 54, 57, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 33, 35, 38, 39, 40, 43, 49, 52, 55, 56, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 33, 35, 36, 38, 40, 43, 46, 52, 55, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 33, 35, 36, 38, 40, 43, 44, 52, 55, 57, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 33, 34, 35, 38, 40, 43, 46, 52, 56, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 30, 33, 34, 35, 38, 40, 43, 44, 52, 56, 57, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 30, 33, 36, 38, 41, 43, 49, 52, 54, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 30, 33, 36, 38, 41, 43, 46, 52, 54, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 28, 30, 37, 41, 43, 45, 49, 52, 55, 56, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 27, 28, 30, 37, 41, 45, 50, 52, 55, 56, 58, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 26, 28, 30, 41, 43, 48, 49, 52, 54, 55, 59, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 26, 27, 28, 30, 41, 48, 50, 52, 54, 55, 58, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 20, 24, 29, 33, 34, 36, 39, 42, 50, 51, 55, 56, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 30, 34, 37, 40, 41, 43, 46, 52, 55, 56, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 35, 37, 41, 52, 54, 55, 56, 57, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 35, 36, 37, 39, 41, 46, 49, 52, 54, 55, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 35, 36, 37, 39, 41, 44, 46, 52, 54, 55, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 34, 35, 36, 37, 41, 46, 49, 52, 54, 57, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 34, 35, 36, 37, 41, 44, 46, 52, 54, 57, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 33, 35, 37, 39, 41, 43, 49, 52, 55, 56, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 33, 35, 36, 37, 41, 43, 46, 52, 55, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 33, 35, 36, 37, 41, 43, 44, 52, 55, 57, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 33, 34, 35, 37, 41, 43, 46, 52, 56, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 30, 33, 34, 35, 37, 41, 43, 44, 52, 56, 57, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 26, 30, 41, 43, 44, 46, 48, 52, 54, 57, 58, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 23, 24, 30, 41, 44, 46, 52, 54, 57, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 19, 30, 34, 37, 40, 46, 49, 52, 53, 55, 56, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 19, 30, 34, 36, 37, 41, 43, 49, 52, 55, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 19, 30, 34, 36, 37, 41, 43, 46, 52, 55, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 30, 33, 38, 41, 44, 46, 52, 53, 54, 57, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 30, 33, 38, 39, 41, 43, 49, 52, 54, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 30, 34, 38, 40, 44, 46, 52, 53, 55, 57, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 30, 34, 38, 39, 40, 43, 49, 52, 55, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 27, 35, 38, 42, 44, 47, 50, 53, 55, 57, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 24, 29, 33, 38, 39, 42, 50, 51, 53, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 24, 27, 35, 38, 42, 50, 53, 55, 57, 58, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 24, 27, 35, 38, 39, 42, 49, 50, 55, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 24, 27, 34, 35, 38, 42, 44, 50, 57, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 23, 24, 28, 38, 42, 51, 53, 54, 57, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 22, 24, 27, 35, 42, 50, 53, 56, 58, 60, 62, 63 ] ]; ### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 2091 ### These nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: ### DS132[5], DS132[6], DS132[7], DS132[8], DS132[9], DS132[10], DS132[14], DS132[16], DS132[18], DS132[23], DS132[25], DS132[29], DS132[35], DS132[45], DS132[47], DS132[49], DS132[50], DS132[52], DS132[53], DS132[59], DS132[61], DS132[62], DS132[64], DS132[65], DS132[66], DS132[67], DS132[68], DS132[72], DS132[73], DS132[75], DS132[78], DS132[80], DS132[82], DS132[83], DS132[85], DS132[94], DS132[99], DS132[116], DS132[121], DS132[122], DS132[131], DS132[140], DS132[147], DS132[158], DS132[159], DS132[160], DS132[162], DS132[171], DS132[172], DS132[174], DS132[175], DS132[176], DS132[178], DS132[182], DS132[183], DS132[184], DS132[185], DS132[187], DS132[189], DS132[190], DS132[193], DS132[194], DS132[199], DS132[200], DS132[201], DS132[202], DS132[207], DS132[211], DS132[225], DS132[226], DS132[227], DS132[230], DS132[231], DS132[233], DS132[235], DS132[240], DS132[249], DS132[253], DS132[255], DS132[256], DS132[257], DS132[260], DS132[261], DS132[262], DS132[265], DS132[273], DS132[274], DS132[275], DS132[277], DS132[278], DS132[289], DS132[290], DS132[291], DS132[292], DS132[294], DS132[299], DS132[301], DS132[309], DS132[310], DS132[311], DS132[318], DS132[320], DS132[321], DS132[322], DS132[323], DS132[325], DS132[326], DS132[330], DS132[335], DS132[338], DS132[339], DS132[342], DS132[343], DS132[345], DS132[348], DS132[350], DS132[358], DS132[363], DS132[364], DS132[366], DS132[370], DS132[379], DS132[384], DS132[389], DS132[390], DS132[391], DS132[396], DS132[397], DS132[399], DS132[402], DS132[404], DS132[405], DS132[406], DS132[408], DS132[419], DS132[434], DS132[439], DS132[441], DS132[445], DS132[454], DS132[467], DS132[470], DS132[472], DS132[474], DS132[479], DS132[480], DS132[481], DS132[485], DS132[487], DS132[489], DS132[490], DS132[495], DS132[496], DS132[497], DS132[512], DS132[519], DS132[521], DS132[522], DS132[525], DS132[526], DS132[527], DS132[530], DS132[532], DS132[537], DS132[543], DS132[546], DS132[549], DS132[552], DS132[557], DS132[559], DS132[561], DS132[567], DS132[570], DS132[571], DS132[576], DS132[577], DS132[583], DS132[585], DS132[590], DS132[591], DS132[592], DS132[595], DS132[596], DS132[600], DS132[603], DS132[605], DS132[606], DS132[611], DS132[612], DS132[615], DS132[616], DS132[617], DS132[619], DS132[620], DS132[621], DS132[622], DS132[623], DS132[624], DS132[626], DS132[627], DS132[628], DS132[631], DS132[632], DS132[633], DS132[635], DS132[636], DS132[639], DS132[646], DS132[647], DS132[648], DS132[658], DS132[659], DS132[660], DS132[664], DS132[665], DS132[667], DS132[671], DS132[679], DS132[682], DS132[684], DS132[685], DS132[691], DS132[692], DS132[693], DS132[696], DS132[697], DS132[698], DS132[699], DS132[704], DS132[705], DS132[706], DS132[714], DS132[715], DS132[721], DS132[730], DS132[733], DS132[734], DS132[737], DS132[741], DS132[743], DS132[744], DS132[748], DS132[754], DS132[761], DS132[762], DS132[765], DS132[772], DS132[775], DS132[776], DS132[779], DS132[783], DS132[787], DS132[790], DS132[791], DS132[792], DS132[793], DS132[794], DS132[796], DS132[797], DS132[798], DS132[799], DS132[800], DS132[808], DS132[809], DS132[810], DS132[811], DS132[812], DS132[816], DS132[824], DS132[825], DS132[826], DS132[828], DS132[829], DS132[834], DS132[835], DS132[836], DS132[841], DS132[843], DS132[845], DS132[846], DS132[847], DS132[848], DS132[849], DS132[850], DS132[851], DS132[852], DS132[854], DS132[858], DS132[859], DS132[860], DS132[862], DS132[868], DS132[870], DS132[872], DS132[873], DS132[879], DS132[880], DS132[881], DS132[882], DS132[886], DS132[887], DS132[889], DS132[892], DS132[896], DS132[899], DS132[901], DS132[906], DS132[916], DS132[937], DS132[943], DS132[947], DS132[948], DS132[949], DS132[951], DS132[953], DS132[961], DS132[965], DS132[966], DS132[967], DS132[969], DS132[970], DS132[971], DS132[972], DS132[977], DS132[982], DS132[983], DS132[984], DS132[985], DS132[986], DS132[987], DS132[994], DS132[996], DS132[997], DS132[999], DS132[1000], DS132[1001], DS132[1003], DS132[1008], DS132[1009], DS132[1010], DS132[1015], DS132[1017], DS132[1021], DS132[1022], DS132[1023], DS132[1024], DS132[1025], DS132[1026], DS132[1029], DS132[1030], DS132[1031], DS132[1034], DS132[1040], DS132[1047], DS132[1048], DS132[1050], DS132[1051], DS132[1056], DS132[1059], DS132[1062], DS132[1072], DS132[1078], DS132[1081], DS132[1084], DS132[1085], DS132[1091], DS132[1094], DS132[1097], DS132[1099], DS132[1100], DS132[1101], DS132[1104], DS132[1108], DS132[1109], DS132[1110], DS132[1112], DS132[1114], DS132[1121], DS132[1123], DS132[1124], DS132[1125], DS132[1126], DS132[1128], DS132[1130], DS132[1131], DS132[1132], DS132[1135], DS132[1136], DS132[1144], DS132[1145], DS132[1147], DS132[1148], DS132[1151], DS132[1152], DS132[1154], DS132[1155], DS132[1156], DS132[1157], DS132[1158], DS132[1160], DS132[1161], DS132[1165], DS132[1171], DS132[1178], DS132[1181], DS132[1182], DS132[1186], DS132[1189], DS132[1192], DS132[1193], DS132[1197], DS132[1198], DS132[1199], DS132[1200], DS132[1201], DS132[1202], DS132[1205], DS132[1206], DS132[1207], DS132[1210], DS132[1211], DS132[1212], DS132[1215], DS132[1216], DS132[1217], DS132[1224], DS132[1227], DS132[1228], DS132[1232], DS132[1234], DS132[1235], DS132[1236], DS132[1237], DS132[1239], DS132[1240], DS132[1244], DS132[1246], DS132[1248], DS132[1250], DS132[1253], DS132[1254], DS132[1256], DS132[1257], DS132[1269], DS132[1270], DS132[1272], DS132[1273], DS132[1279], DS132[1280], DS132[1283], DS132[1289], DS132[1290], DS132[1293], DS132[1294], DS132[1295], DS132[1297], DS132[1300], DS132[1307], DS132[1309], DS132[1310], DS132[1311], DS132[1313], DS132[1315], DS132[1319], DS132[1320], DS132[1321], DS132[1324], DS132[1325], DS132[1327], DS132[1328], DS132[1329], DS132[1330], DS132[1331], DS132[1332], DS132[1333], DS132[1336], DS132[1337], DS132[1340], DS132[1341], DS132[1343], DS132[1346], DS132[1352], DS132[1354], DS132[1356], DS132[1359], DS132[1361], DS132[1362], DS132[1364], DS132[1366], DS132[1368], DS132[1370], DS132[1373], DS132[1374], DS132[1375], DS132[1376], DS132[1378], DS132[1379], DS132[1380], DS132[1381], DS132[1385], DS132[1386], DS132[1387], DS132[1388], DS132[1391], DS132[1393], DS132[1394], DS132[1397], DS132[1399], DS132[1402], DS132[1403], DS132[1404], DS132[1407], DS132[1408], DS132[1421], DS132[1422], DS132[1423], DS132[1424], DS132[1427], DS132[1428], DS132[1429], DS132[1430], DS132[1432], DS132[1435], DS132[1436], DS132[1438], DS132[1444], DS132[1445], DS132[1447], DS132[1448], DS132[1450], DS132[1451], DS132[1452], DS132[1453], DS132[1455], DS132[1456], DS132[1457], DS132[1458], DS132[1459], DS132[1462], DS132[1465], DS132[1466], DS132[1467], DS132[1469], DS132[1472], DS132[1473], DS132[1479], DS132[1482], DS132[1483], DS132[1486], DS132[1488], DS132[1489], DS132[1490], DS132[1491], DS132[1494], DS132[1497], DS132[1498], DS132[1500], DS132[1502], DS132[1506], DS132[1510], DS132[1516], DS132[1517], DS132[1519], DS132[1520], DS132[1530], DS132[1531], DS132[1532], DS132[1533], DS132[1535], DS132[1536], DS132[1539], DS132[1549], DS132[1551], DS132[1552], DS132[1554], DS132[1559], DS132[1560], DS132[1564], DS132[1566], DS132[1567], DS132[1569], DS132[1575], DS132[1578], DS132[1579], DS132[1587], DS132[1588], DS132[1589], DS132[1590], DS132[1594], DS132[1595], DS132[1600], DS132[1601], DS132[1602], DS132[1604], DS132[1609], DS132[1610], DS132[1614], DS132[1615], DS132[1616], DS132[1622], DS132[1625], DS132[1629], DS132[1642], DS132[1644], DS132[1647], DS132[1648], DS132[1650], DS132[1651], DS132[1653], DS132[1654], DS132[1657], DS132[1662], DS132[1663], DS132[1667], DS132[1669], DS132[1675], DS132[1689], DS132[1695], DS132[1696], DS132[1700], DS132[1701], DS132[1711], DS132[1715], DS132[1716], DS132[1720], DS132[1721], DS132[1722], 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DS132[3632], DS132[3633], DS132[3634], DS132[3635], DS132[3636], DS132[3637], DS132[3638], DS132[3639], DS132[3640], DS132[3641], DS132[3642], DS132[3643], DS132[3644], DS132[3645], DS132[3646], DS132[3647], DS132[3648], DS132[3649], DS132[3650], DS132[3651], DS132[3652], DS132[3653], DS132[3654], DS132[3655], DS132[3656], DS132[3657], DS132[3658], DS132[3659], DS132[3660], DS132[3661], DS132[3662], DS132[3663], DS132[3664], DS132[3665], DS132[3666], DS132[3667], DS132[3668], DS132[3669], DS132[3670], DS132[3671], DS132[3672], DS132[3673], DS132[3674], DS132[3675], DS132[3676], DS132[3677], DS132[3678], DS132[3679], DS132[3680], DS132[3681], DS132[3682], DS132[3683], DS132[3684], DS132[3685], DS132[3686], DS132[3687], DS132[3688], DS132[3689], DS132[3690], DS132[3691], DS132[3692], DS132[3693], DS132[3694], DS132[3695], DS132[3696], DS132[3697], DS132[3698], DS132[3699], DS132[3700], DS132[3701], DS132[3702], DS132[3703], DS132[3704], DS132[3705], DS132[3706], DS132[3707], DS132[3708], DS132[3709], DS132[3710], DS132[3711], DS132[3712], DS132[3713], DS132[3714], DS132[3715], DS132[3716], DS132[3717], DS132[3718], DS132[3719], DS132[3720], DS132[3721], DS132[3722], DS132[3723], DS132[3724], DS132[3725], DS132[3726], DS132[3727], DS132[3728], DS132[3729], DS132[3730], DS132[3731], DS132[3732], DS132[3733], DS132[3734], DS132[3735], DS132[3736], DS132[3737], DS132[3738], DS132[3739], DS132[3740], DS132[3741], DS132[3742], DS132[3743], DS132[3744], DS132[3745], DS132[3746], DS132[3747], DS132[3748], DS132[3749], DS132[3750], DS132[3751], DS132[3752], DS132[3753], DS132[3754], DS132[3755], DS132[3756], DS132[3757], DS132[3758], DS132[3759], DS132[3760], DS132[3761], DS132[3762], DS132[3763], DS132[3764], DS132[3765], DS132[3766], DS132[3767], DS132[3768], DS132[3769], DS132[3770], DS132[3771], DS132[3772], DS132[3773], DS132[3774], DS132[3775], DS132[3776], DS132[3777], DS132[3778], DS132[3779], DS132[3780], DS132[3781], DS132[3782], DS132[3783], DS132[3784], DS132[3785], DS132[3786]. # Note that there is no reversible (64,28,12) difference sets in # group [64,132]. ########################### ########################### ###########################