### 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 [64,103]. 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 [64,103]. # 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(64,103));' can be # used to create a list e of the elements of the group [64,103]. # In our list of (64,28,12) DSs in group [64,103], we have [1, # 2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 25, 29, 30, # 32, 33, 36, 43, 44, 45, 47, 52, 54, 55, 61, 63, 64]. # This list denotes the elements [ e[1], e[2], e[3], # e[4], e[5], e[8], e[9], e[11], e[12], e[15], e[16], e[17], e[25], e[29], e[30], e[32], # e[33], e[36], e[43], e[44], e[45], e[47], e[52], e[54], e[55], e[61], e[63], e[64]] # where e is the list of the elements of the group [64,103] as they # appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,103));' ########################### ########################### ########################### ### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs ### that rise from these DSs in group [64, 103] ### The number of inequivalent (64,28,12) DSs in group [64,103] is 674 ### The list of all inequivalent (64,28,12) DSs in group [64,103] is DS103:=[ [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 25, 29, 30, 32, 33, 36, 43, 44, 45, 47, 52, 54, 55, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 25, 28, 29, 33, 36, 43, 45, 46, 47, 48, 52, 54, 55, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 24, 25, 26, 29, 33, 36, 44, 47, 49, 51, 52, 54, 55, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 24, 25, 26, 28, 29, 33, 36, 47, 52, 54, 55, 58, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 23, 25, 29, 33, 36, 46, 47, 48, 49, 51, 52, 54, 55, 59, 61, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 15, 16, 17, 23, 25, 29, 30, 32, 33, 36, 47, 52, 54, 55, 58, 59, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 26, 32, 36, 37, 43, 44, 45, 46, 49, 50, 51, 55, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 26, 28, 29, 36, 37, 43, 44, 46, 48, 52, 55, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 25, 29, 32, 36, 37, 43, 44, 45, 47, 49, 55, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 25, 28, 36, 37, 43, 44, 47, 48, 50, 51, 52, 55, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 25, 28, 32, 36, 37, 43, 44, 47, 50, 55, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 25, 28, 29, 36, 37, 43, 45, 47, 48, 52, 55, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 25, 26, 29, 36, 37, 43, 44, 49, 51, 52, 55, 59, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 25, 26, 28, 29, 36, 37, 43, 52, 55, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 23, 26, 32, 36, 37, 46, 49, 50, 51, 55, 58, 59, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 23, 25, 29, 36, 37, 47, 48, 49, 51, 52, 55, 58, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 14, 15, 16, 17, 23, 25, 29, 32, 36, 37, 47, 49, 55, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 8, 9, 11, 12, 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19, 20, 23, 25, 31, 33, 35, 38, 39, 40, 42, 44, 48, 54, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 23, 29, 31, 33, 38, 39, 41, 44, 45, 50, 58, 59, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 23, 25, 26, 29, 31, 33, 38, 39, 41, 46, 47, 50, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 19, 20, 22, 24, 26, 31, 35, 40, 43, 48, 53, 55, 56, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 19, 20, 22, 23, 24, 31, 35, 40, 44, 47, 53, 55, 56, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 23, 30, 31, 32, 35, 36, 37, 41, 43, 48, 49, 51, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 27, 30, 43, 45, 46, 47, 48, 51, 53, 58, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 25, 27, 30, 43, 44, 45, 47, 51, 53, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 25, 27, 28, 43, 45, 46, 47, 52, 53, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 24, 25, 27, 44, 45, 49, 51, 52, 53, 59, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 24, 25, 27, 28, 45, 52, 53, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 30, 43, 46, 47, 48, 49, 50, 51, 53, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 27, 30, 44, 46, 47, 48, 51, 53, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 25, 43, 44, 46, 47, 50, 51, 52, 53, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 25, 28, 30, 43, 47, 50, 53, 60, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 25, 27, 46, 47, 49, 51, 52, 53, 59, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 25, 27, 30, 47, 51, 53, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 30, 48, 49, 50, 51, 53, 58, 59, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 28, 30, 44, 48, 50, 53, 59, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 25, 28, 49, 50, 52, 53, 59, 60, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 18, 20, 22, 23, 25, 31, 35, 37, 41, 43, 53, 56, 57, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 18, 19, 20, 21, 23, 36, 41, 43, 44, 47, 50, 52, 55, 56, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 23, 25, 31, 35, 36, 37, 39, 40, 41, 44, 48, 57, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 22, 23, 25, 31, 35, 36, 37, 39, 40, 42, 44, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 20, 22, 23, 25, 31, 35, 37, 40, 44, 53, 56, 57, 60, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 18, 21, 24, 29, 32, 35, 42, 44, 46, 48, 53, 54, 57, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 18, 21, 24, 25, 29, 32, 35, 42, 53, 54, 57, 58, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 26, 27, 28, 31, 33, 36, 38, 41, 44, 47, 50, 51, 59, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 23, 26, 31, 33, 36, 38, 41, 44, 45, 47, 58, 59, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 23, 26, 28, 29, 31, 33, 36, 38, 41, 47, 49, 50, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 19, 21, 22, 26, 27, 28, 33, 35, 36, 37, 52, 55, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 21, 26, 29, 32, 34, 36, 37, 39, 40, 42, 45, 58, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 20, 21, 23, 26, 29, 32, 37, 40, 43, 55, 56, 57, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 16, 19, 20, 21, 23, 38, 39, 43, 44, 47, 50, 52, 55, 57, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 16, 18, 19, 21, 22, 36, 39, 44, 45, 47, 50, 52, 53, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 29, 30, 31, 32, 33, 34, 37, 38, 41, 48, 49, 50, 58, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 28, 29, 30, 31, 33, 34, 37, 38, 41, 44, 50, 52, 59, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 25, 28, 29, 31, 33, 34, 37, 38, 41, 48, 49, 50, 59, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 19, 23, 28, 31, 34, 35, 36, 37, 38, 40, 41, 49, 56, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 19, 23, 28, 30, 31, 34, 35, 37, 38, 40, 41, 52, 53, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 19, 22, 23, 31, 34, 35, 36, 37, 40, 41, 42, 44, 58, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 19, 21, 22, 26, 27, 35, 36, 38, 49, 51, 52, 53, 54, 55, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 19, 21, 22, 26, 27, 28, 34, 35, 36, 38, 52, 54, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 18, 19, 20, 22, 23, 31, 35, 37, 40, 44, 55, 56, 58, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 16, 19, 23, 28, 30, 31, 34, 40, 41, 52, 53, 54, 55, 56, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 16, 18, 19, 20, 22, 23, 31, 38, 40, 44, 54, 58, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 19, 21, 22, 26, 27, 34, 35, 49, 51, 52, 54, 56, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 19, 21, 22, 26, 27, 28, 35, 52, 53, 54, 55, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 17, 18, 21, 26, 29, 32, 42, 45, 53, 55, 56, 57, 58, 59, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 17, 18, 21, 22, 38, 41, 44, 45, 47, 50, 52, 53, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 19, 23, 28, 31, 38, 40, 41, 49, 53, 54, 56, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 19, 22, 23, 31, 40, 41, 42, 44, 53, 54, 58, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 26, 30, 31, 32, 33, 35, 36, 41, 47, 48, 49, 51, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 25, 26, 31, 33, 35, 36, 41, 44, 47, 48, 58, 59, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 25, 26, 31, 33, 34, 35, 36, 38, 41, 47, 53, 56, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 21, 24, 28, 29, 32, 34, 35, 36, 37, 40, 42, 49, 56, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 20, 25, 26, 31, 33, 34, 35, 38, 39, 41, 42, 47, 57, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 19, 21, 22, 26, 27, 34, 37, 38, 49, 51, 52, 53, 54, 56, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 19, 21, 22, 26, 27, 30, 34, 36, 37, 38, 51, 54, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 18, 22, 25, 26, 31, 33, 35, 36, 39, 41, 42, 47, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 18, 20, 22, 25, 26, 31, 33, 35, 41, 47, 53, 56, 57, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 19, 21, 22, 26, 27, 36, 37, 49, 51, 52, 54, 55, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 19, 21, 22, 26, 27, 30, 37, 51, 53, 54, 55, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 21, 26, 27, 30, 40, 42, 44, 51, 53, 54, 56, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 21, 26, 27, 30, 34, 40, 42, 51, 54, 55, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 21, 24, 28, 29, 32, 40, 42, 49, 53, 54, 56, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 29, 30, 31, 32, 41, 48, 49, 50, 53, 56, 58, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 28, 29, 30, 31, 41, 44, 50, 52, 53, 56, 59, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 25, 28, 29, 31, 41, 48, 49, 50, 53, 56, 59, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 26, 27, 29, 30, 33, 34, 38, 41, 46, 47, 52, 53, 59, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 26, 27, 29, 30, 33, 34, 36, 41, 47, 48, 52, 55, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 16, 17, 19, 20, 37, 38, 42, 43, 44, 46, 51, 53, 54, 57, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 16, 17, 19, 20, 36, 37, 42, 43, 44, 48, 51, 54, 55, 57, 58, 64 ] ]; ### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 286 ### These nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: ### DS103[2], DS103[3], DS103[7], DS103[8], DS103[10], DS103[12], DS103[13], DS103[17], DS103[20], DS103[22], DS103[24], DS103[27], DS103[29], DS103[34], DS103[45], DS103[52], DS103[55], DS103[59], DS103[60], DS103[63], DS103[64], DS103[65], DS103[66], DS103[67], DS103[73], DS103[75], DS103[77], DS103[79], DS103[82], DS103[84], DS103[88], DS103[95], DS103[106], DS103[113], DS103[117], DS103[118], DS103[119], DS103[120], DS103[130], DS103[132], DS103[133], DS103[135], DS103[146], DS103[149], DS103[150], DS103[153], DS103[158], DS103[162], DS103[169], DS103[175], DS103[181], DS103[182], DS103[189], DS103[198], DS103[199], DS103[203], DS103[204], DS103[205], DS103[206], DS103[210], DS103[213], DS103[215], DS103[218], DS103[219], DS103[226], DS103[227], DS103[228], DS103[233], DS103[241], DS103[243], DS103[249], DS103[250], DS103[251], DS103[254], DS103[255], DS103[260], DS103[262], DS103[266], DS103[269], DS103[275], DS103[276], DS103[277], DS103[280], DS103[281], DS103[285], DS103[287], DS103[288], DS103[292], DS103[296], DS103[298], DS103[300], DS103[303], DS103[304], DS103[307], DS103[310], DS103[312], DS103[315], DS103[317], DS103[319], DS103[322], DS103[323], DS103[324], DS103[326], DS103[330], DS103[332], DS103[333], DS103[335], DS103[337], DS103[341], DS103[343], DS103[344], DS103[356], DS103[357], DS103[360], DS103[366], DS103[371], DS103[373], DS103[376], DS103[382], DS103[384], DS103[386], DS103[387], DS103[395], DS103[396], DS103[398], DS103[400], DS103[402], DS103[403], DS103[405], DS103[407], DS103[419], DS103[421], DS103[422], DS103[423], DS103[427], DS103[428], DS103[435], DS103[441], DS103[442], DS103[443], DS103[447], DS103[449], DS103[451], DS103[453], DS103[456], DS103[459], DS103[461], DS103[469], DS103[470], DS103[474], DS103[480], DS103[482], DS103[484], DS103[486], DS103[490], DS103[491], DS103[492], DS103[494], DS103[496], DS103[497], DS103[498], DS103[499], DS103[500], DS103[501], DS103[502], DS103[503], DS103[504], DS103[505], DS103[506], DS103[507], DS103[508], DS103[516], DS103[519], DS103[521], DS103[525], DS103[526], DS103[527], DS103[528], DS103[529], DS103[530], DS103[531], DS103[532], DS103[533], DS103[534], DS103[537], DS103[538], DS103[541], DS103[542], DS103[543], DS103[544], DS103[547], DS103[549], DS103[551], DS103[552], DS103[553], DS103[554], DS103[555], DS103[556], DS103[557], DS103[558], DS103[559], DS103[560], DS103[561], DS103[562], DS103[563], DS103[564], DS103[565], DS103[566], DS103[567], DS103[568], DS103[569], DS103[570], DS103[571], DS103[572], DS103[573], DS103[574], DS103[575], DS103[576], DS103[577], DS103[578], DS103[579], DS103[580], DS103[581], DS103[582], DS103[583], DS103[586], DS103[591], DS103[596], DS103[597], DS103[598], DS103[599], DS103[600], DS103[602], DS103[603], DS103[604], DS103[605], DS103[606], DS103[607], DS103[612], DS103[613], DS103[615], DS103[621], DS103[622], DS103[624], DS103[625], DS103[626], DS103[627], DS103[628], DS103[629], DS103[630], DS103[631], DS103[633], DS103[634], DS103[635], DS103[636], DS103[637], DS103[638], DS103[639], DS103[640], DS103[641], DS103[642], DS103[643], DS103[645], DS103[646], DS103[647], DS103[650], DS103[651], DS103[652], DS103[653], DS103[654], DS103[655], DS103[656], DS103[657], DS103[658], DS103[661], DS103[662], DS103[665], DS103[666], DS103[667], DS103[668], DS103[669], DS103[670], DS103[671], DS103[672], DS103[673], DS103[674]. # Note that there is no reversible (64,28,12) difference sets in # group [64,103]. ########################### ########################### ###########################