### 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 [64,188]. 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 [64,188]. # 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(64,188));' can be # used to create a list e of the elements of the group [64,188]. # In our list of (64,28,12) DSs in group [64,188], we have [1, # 2, 3, 4, 5, 6, 8, 9, 10, 16, 20, 23, 26, 28, 32, # 33, 34, 39, 40, 41, 45, 50, 52, 53, 54, 55, 62, 63]. # This list denotes the elements [ e[1], e[2], e[3], # e[4], e[5], e[6], e[8], e[9], e[10], e[16], e[20], e[23], e[26], e[28], e[32], e[33], # e[34], e[39], e[40], e[41], e[45], e[50], e[52], e[53], e[54], e[55], e[62], e[63]] # where e is the list of the elements of the group [64,188] as they # appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,188));' ########################### ########################### ########################### ### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs ### that rise from these DSs in group [64, 188] ### The number of inequivalent (64,28,12) DSs in group [64,188] is 300 ### The list of all inequivalent (64,28,12) DSs in group [64,188] is DS188:=[ [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 20, 23, 26, 28, 32, 33, 34, 39, 40, 41, 45, 50, 52, 53, 54, 55, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 17, 23, 26, 28, 32, 33, 34, 39, 41, 42, 45, 50, 52, 53, 54, 55, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 17, 23, 26, 28, 32, 33, 36, 38, 39, 41, 42, 45, 50, 52, 54, 56, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 20, 23, 26, 28, 32, 34, 36, 37, 39, 40, 41, 45, 50, 52, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 17, 23, 26, 28, 32, 34, 36, 37, 39, 41, 42, 45, 50, 52, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 15, 16, 20, 23, 26, 28, 32, 37, 38, 39, 40, 41, 45, 50, 52, 53, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 15, 16, 17, 23, 26, 28, 32, 37, 38, 39, 41, 42, 45, 50, 52, 53, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 17, 26, 28, 30, 32, 35, 41, 42, 43, 44, 50, 57, 58, 59, 60, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 17, 25, 26, 28, 32, 35, 39, 41, 42, 43, 46, 48, 50, 52, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 17, 25, 26, 28, 30, 32, 35, 41, 42, 43, 46, 48, 50, 57, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 17, 24, 26, 28, 32, 35, 39, 41, 42, 44, 46, 47, 50, 52, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 17, 24, 26, 28, 30, 32, 35, 41, 42, 44, 46, 47, 50, 57, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 17, 24, 25, 26, 28, 32, 35, 39, 41, 42, 47, 48, 50, 52, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 17, 24, 25, 26, 28, 30, 32, 35, 41, 42, 47, 48, 50, 57, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 15, 20, 21, 23, 24, 28, 31, 32, 41, 42, 43, 44, 47, 48, 49, 55, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 15, 17, 21, 24, 25, 26, 28, 31, 32, 40, 41, 43, 48, 49, 55, 58, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 15, 17, 21, 23, 28, 31, 32, 40, 41, 43, 44, 48, 49, 55, 58, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 15, 17, 21, 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60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 20, 25, 26, 29, 31, 34, 36, 37, 38, 40, 41, 48, 49, 53, 54, 57, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 26, 29, 30, 31, 36, 37, 40, 41, 44, 52, 53, 54, 55, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 26, 29, 30, 31, 36, 37, 39, 40, 41, 44, 52, 54, 55, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 26, 29, 30, 31, 33, 37, 39, 40, 41, 44, 52, 55, 56, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 25, 26, 29, 31, 36, 37, 40, 41, 48, 49, 53, 54, 55, 57, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 25, 26, 29, 31, 36, 37, 39, 40, 41, 48, 49, 54, 55, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 25, 26, 29, 31, 33, 37, 39, 40, 41, 48, 49, 55, 56, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 21, 24, 27, 29, 30, 41, 42, 45, 47, 48, 55, 58, 60, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 20, 21, 24, 26, 27, 29, 41, 42, 44, 46, 49, 52, 55, 58, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 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39, 44, 45, 48, 52, 53, 54, 56, 57 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 21, 28, 30, 31, 35, 36, 39, 44, 45, 48, 52, 54, 57, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 21, 25, 28, 35, 36, 37, 39, 45, 49, 50, 52, 56, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 21, 25, 28, 30, 35, 36, 37, 39, 45, 50, 56, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 21, 25, 28, 30, 31, 35, 39, 45, 52, 53, 54, 56, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 21, 25, 28, 30, 31, 35, 36, 39, 45, 52, 54, 57, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 21, 25, 28, 29, 30, 35, 39, 47, 51, 53, 54, 56, 57, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 26, 28, 35, 36, 37, 40, 44, 49, 50, 52, 56, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 26, 28, 30, 35, 36, 37, 40, 44, 50, 56, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 26, 28, 30, 31, 35, 40, 44, 52, 53, 54, 56, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 26, 28, 30, 31, 35, 36, 40, 44, 52, 54, 57, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 25, 26, 28, 35, 37, 40, 48, 49, 50, 52, 53, 57, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 25, 26, 28, 31, 35, 40, 48, 49, 53, 54, 56, 57, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 25, 26, 28, 31, 35, 36, 40, 48, 49, 54, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 25, 26, 28, 30, 35, 37, 40, 48, 50, 53, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 28, 35, 37, 42, 44, 45, 48, 49, 50, 52, 53, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 28, 31, 35, 42, 44, 45, 48, 49, 53, 54, 56, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 28, 31, 35, 36, 42, 44, 45, 48, 49, 54, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 28, 30, 35, 37, 42, 44, 45, 48, 50, 53, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 25, 28, 35, 37, 42, 45, 49, 50, 52, 53, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 25, 28, 31, 35, 42, 45, 49, 53, 54, 56, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 25, 28, 31, 35, 36, 42, 45, 49, 54, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 20, 21, 25, 28, 30, 35, 37, 42, 45, 50, 53, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 26, 30, 35, 36, 37, 41, 42, 44, 50, 51, 56, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 25, 26, 30, 35, 37, 41, 42, 48, 50, 51, 53, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 20, 26, 35, 36, 37, 41, 44, 50, 51, 52, 56, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 20, 25, 26, 35, 37, 41, 48, 50, 51, 52, 53, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 18, 26, 30, 35, 36, 37, 39, 42, 44, 50, 51, 56, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 18, 25, 26, 30, 35, 37, 39, 42, 48, 50, 51, 53, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 18, 20, 26, 30, 35, 36, 37, 44, 50, 51, 56, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 18, 20, 25, 26, 30, 35, 37, 48, 50, 51, 53, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 21, 23, 25, 30, 31, 33, 37, 39, 41, 51, 52, 54, 55, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 21, 23, 25, 27, 31, 36, 37, 39, 41, 50, 51, 55, 56, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 20, 21, 23, 25, 31, 33, 37, 41, 42, 49, 51, 54, 55, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 20, 21, 23, 25, 27, 31, 37, 41, 42, 50, 51, 53, 55, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 17, 21, 23, 25, 31, 36, 37, 40, 41, 49, 51, 55, 56, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 17, 21, 23, 25, 30, 31, 37, 40, 41, 51, 52, 53, 55, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 18, 22, 23, 26, 28, 31, 32, 42, 43, 45, 47, 49, 53, 54, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 18, 22, 23, 26, 28, 31, 32, 42, 43, 45, 46, 47, 49, 53, 54, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 18, 22, 23, 24, 26, 28, 31, 32, 42, 45, 49, 53, 54, 59, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 18, 22, 23, 24, 26, 28, 31, 32, 42, 45, 46, 49, 53, 54, 58, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 18, 20, 22, 26, 29, 30, 33, 44, 46, 47, 50, 58, 59, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 18, 20, 22, 24, 29, 45, 47, 48, 50, 52, 54, 58, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 18, 20, 22, 24, 26, 29, 30, 33, 43, 44, 50, 60, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 23, 24, 25, 27, 31, 38, 41, 42, 47, 50, 51, 54, 58, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 20, 22, 27, 31, 38, 43, 45, 46, 48, 50, 51, 54, 59, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 20, 22, 25, 27, 31, 38, 43, 44, 45, 46, 50, 51, 54, 59, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 26, 28, 31, 41, 42, 43, 45, 46, 47, 49, 54, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 20, 22, 28, 31, 41, 44, 45, 46, 48, 49, 54, 58, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 26, 27, 31, 42, 43, 44, 47, 50, 51, 53, 54, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 26, 27, 31, 42, 43, 44, 46, 47, 50, 51, 53, 54, 58, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 24, 26, 27, 31, 42, 44, 50, 51, 53, 54, 59, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 24, 26, 27, 31, 42, 44, 46, 50, 51, 53, 54, 58, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 23, 26, 31, 42, 43, 45, 47, 49, 51, 53, 54, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 23, 26, 31, 42, 43, 45, 46, 47, 49, 51, 53, 54, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 23, 24, 26, 31, 42, 45, 49, 51, 53, 54, 59, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 22, 23, 24, 26, 31, 42, 45, 46, 49, 51, 53, 54, 58, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 20, 22, 26, 27, 28, 31, 43, 44, 47, 50, 54, 58, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 20, 22, 24, 26, 27, 28, 31, 44, 46, 50, 54, 59, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 20, 22, 23, 26, 28, 31, 43, 45, 47, 49, 54, 58, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 20, 22, 23, 24, 26, 28, 31, 45, 46, 49, 54, 59, 62, 63, 64 ] ]; ### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 253 ### These nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: ### DS188[2], DS188[3], DS188[7], DS188[8], DS188[9], DS188[11], DS188[14], DS188[15], DS188[16], DS188[17], DS188[18], DS188[19], DS188[20], DS188[22], DS188[23], DS188[24], DS188[27], DS188[28], DS188[29], DS188[30], DS188[32], DS188[33], DS188[34], DS188[37], DS188[38], DS188[40], DS188[41], DS188[42], DS188[43], DS188[44], DS188[45], DS188[46], DS188[47], DS188[48], DS188[49], DS188[50], DS188[51], DS188[52], DS188[53], DS188[54], DS188[55], DS188[56], DS188[57], DS188[58], DS188[59], DS188[60], DS188[61], DS188[62], DS188[63], DS188[64], DS188[67], DS188[70], DS188[71], DS188[72], DS188[73], DS188[74], DS188[75], DS188[76], DS188[77], DS188[78], DS188[79], DS188[80], DS188[81], DS188[83], DS188[86], DS188[87], DS188[88], DS188[89], DS188[90], DS188[91], DS188[92], DS188[93], DS188[94], DS188[95], DS188[96], DS188[97], DS188[98], DS188[100], DS188[101], DS188[102], DS188[103], DS188[104], DS188[105], DS188[106], DS188[107], DS188[108], DS188[109], DS188[110], DS188[112], DS188[114], DS188[115], DS188[116], DS188[117], DS188[118], DS188[119], DS188[120], DS188[121], DS188[122], DS188[123], DS188[124], DS188[125], DS188[126], DS188[127], DS188[128], DS188[129], DS188[130], DS188[131], DS188[132], DS188[133], DS188[134], DS188[135], DS188[136], DS188[137], DS188[138], DS188[139], DS188[140], DS188[142], DS188[143], DS188[144], DS188[145], DS188[146], DS188[147], DS188[148], DS188[149], DS188[150], DS188[152], DS188[156], DS188[157], DS188[158], DS188[159], DS188[160], DS188[161], DS188[162], DS188[163], DS188[164], DS188[165], DS188[166], DS188[168], DS188[172], DS188[173], DS188[174], DS188[176], DS188[177], DS188[178], DS188[179], DS188[180], DS188[181], DS188[182], DS188[183], DS188[184], DS188[187], DS188[188], DS188[190], DS188[191], DS188[192], DS188[193], DS188[194], DS188[195], DS188[196], DS188[197], DS188[198], DS188[199], DS188[200], DS188[201], DS188[202], DS188[203], DS188[204], DS188[206], DS188[207], DS188[208], DS188[210], DS188[211], DS188[212], DS188[215], DS188[216], DS188[217], DS188[218], DS188[219], DS188[220], DS188[221], DS188[222], DS188[223], DS188[224], DS188[225], DS188[226], DS188[229], DS188[230], DS188[231], DS188[232], DS188[233], DS188[234], DS188[235], DS188[236], DS188[237], DS188[238], DS188[239], DS188[240], DS188[241], DS188[242], DS188[243], DS188[244], DS188[245], DS188[246], DS188[247], DS188[249], DS188[250], DS188[251], DS188[252], DS188[253], DS188[254], DS188[255], DS188[256], DS188[257], DS188[258], DS188[259], DS188[260], DS188[261], DS188[262], DS188[263], DS188[264], DS188[265], DS188[266], DS188[269], DS188[271], DS188[272], DS188[273], DS188[274], DS188[275], DS188[276], DS188[277], DS188[278], DS188[279], DS188[280], DS188[281], DS188[282], DS188[283], DS188[284], DS188[285], DS188[286], DS188[287], DS188[288], DS188[289], DS188[290], DS188[291], DS188[292], DS188[293], DS188[294], DS188[295], DS188[296], DS188[297], DS188[298], DS188[299], DS188[300]. # Note that there is no reversible (64,28,12) difference sets in # group [64,188]. ########################### ########################### ###########################