### 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 [64,17]. 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 [64,17]. # 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(64,17));' can be # used to create a list e of the elements of the group [64,17]. # In our list of (64,28,12) DSs in group [64,17], we have [1, # 2, 3, 4, 5, 8, 10, 11, 12, 13, 16, 17, 20, 22, 31, # 32, 35, 39, 41, 43, 44, 45, 47, 48, 49, 58, 61, 62]. # This list denotes the elements [ e[1], e[2], e[3], # e[4], e[5], e[8], e[10], e[11], e[12], e[13], e[16], e[17], e[20], e[22], e[31], e[32], # e[35], e[39], e[41], e[43], e[44], e[45], e[47], e[48], e[49], e[58], e[61], e[62]] # where e is the list of the elements of the group [64,17] as they # appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,17));' ########################### ########################### ########################### ### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs ### that rise from these DSs in group [64, 17] ### The number of inequivalent (64,28,12) DSs in group [64,17] is 1012 ### The list of all inequivalent (64,28,12) DSs in group [64,17] is DS17:=[ [ 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 16, 17, 20, 22, 31, 32, 35, 39, 41, 43, 44, 45, 47, 48, 49, 58, 61, 62 ], [ 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 16, 17, 20, 22, 25, 31, 32, 35, 39, 41, 43, 45, 46, 47, 49, 60, 62, 64 ], [ 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 16, 17, 20, 22, 24, 31, 32, 35, 39, 41, 44, 45, 46, 48, 49, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 16, 17, 20, 22, 24, 26, 32, 35, 39, 41, 44, 46, 49, 50, 52, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 16, 17, 20, 22, 24, 25, 32, 35, 39, 41, 45, 47, 49, 50, 52, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 16, 17, 20, 22, 24, 25, 31, 32, 35, 39, 41, 45, 49, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 26, 32, 38, 39, 43, 44, 47, 49, 50, 52, 55, 58, 60, 61 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 25, 32, 38, 39, 43, 45, 46, 49, 50, 52, 55, 59, 60, 61 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 24, 31, 32, 38, 39, 44, 45, 46, 48, 49, 55, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 24, 30, 32, 38, 39, 44, 45, 47, 48, 50, 55, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 24, 26, 32, 38, 39, 44, 46, 49, 50, 52, 55, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 24, 26, 30, 32, 38, 39, 44, 50, 55, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 24, 25, 32, 38, 39, 45, 47, 49, 50, 52, 55, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 17, 19, 20, 24, 25, 31, 32, 38, 39, 45, 49, 55, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 21, 25, 26, 27, 30, 32, 34, 35, 36, 38, 39, 48, 49, 51, 54, 57, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 21, 23, 25, 30, 32, 34, 35, 36, 37, 38, 39, 44, 50, 51, 56, 57, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 21, 23, 25, 30, 31, 32, 34, 35, 36, 38, 39, 44, 51, 52, 54, 57, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 20, 23, 25, 31, 32, 34, 35, 36, 37, 38, 40, 44, 49, 51, 56, 57, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 20, 23, 25, 30, 31, 32, 34, 35, 37, 38, 40, 44, 51, 52, 53, 57, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 20, 21, 26, 27, 30, 32, 34, 35, 36, 38, 42, 44, 49, 51, 54, 60, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 20, 21, 23, 25, 31, 32, 34, 35, 36, 38, 42, 44, 49, 51, 54, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 19, 20, 21, 23, 25, 30, 32, 34, 35, 37, 38, 42, 44, 50, 51, 53, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 25, 26, 27, 30, 32, 34, 36, 39, 40, 42, 48, 49, 51, 54, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 23, 25, 30, 32, 34, 36, 37, 39, 40, 42, 44, 50, 51, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 23, 25, 30, 31, 32, 34, 36, 39, 40, 42, 44, 51, 52, 54, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 20, 23, 25, 32, 34, 36, 37, 40, 44, 49, 50, 51, 52, 55, 56, 57 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 20, 23, 25, 30, 31, 32, 34, 40, 44, 51, 52, 53, 54, 55, 56, 57 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 20, 21, 27, 30, 32, 34, 36, 42, 44, 45, 48, 49, 51, 54, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 20, 21, 23, 25, 32, 34, 36, 42, 44, 49, 50, 51, 52, 54, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 19, 20, 21, 23, 25, 30, 32, 34, 42, 44, 50, 51, 53, 54, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 25, 26, 27, 30, 32, 35, 37, 39, 40, 42, 48, 49, 51, 53, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 23, 25, 31, 32, 35, 36, 37, 39, 40, 42, 44, 49, 51, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 23, 25, 30, 31, 32, 35, 37, 39, 40, 42, 44, 51, 52, 53, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 21, 25, 26, 27, 30, 32, 35, 39, 48, 49, 51, 53, 54, 55, 56, 57 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 21, 23, 25, 32, 35, 36, 37, 39, 44, 49, 50, 51, 52, 55, 56, 57 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 21, 23, 25, 30, 31, 32, 35, 39, 44, 51, 52, 53, 54, 55, 56, 57 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 20, 21, 27, 30, 32, 35, 37, 42, 44, 45, 48, 49, 51, 53, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 20, 21, 26, 27, 30, 32, 35, 42, 44, 49, 51, 53, 54, 55, 56, 60 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 20, 21, 23, 25, 32, 35, 37, 42, 44, 49, 50, 51, 52, 53, 55, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 19, 20, 21, 23, 25, 31, 32, 35, 42, 44, 49, 51, 53, 54, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 16, 19, 26, 27, 30, 32, 36, 38, 39, 40, 42, 44, 49, 51, 54, 60, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 16, 19, 25, 27, 30, 32, 37, 38, 39, 40, 42, 45, 49, 51, 53, 60, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 16, 19, 23, 25, 31, 32, 36, 38, 39, 40, 42, 44, 49, 51, 54, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 16, 19, 23, 25, 30, 32, 37, 38, 39, 40, 42, 44, 50, 51, 53, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 15, 16, 19, 21, 27, 30, 32, 36, 38, 39, 44, 45, 48, 49, 51, 54, 57, 63 ], [ 1, 2, 3, 4, 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33, 38, 41, 42, 45, 46, 49, 59, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 23, 25, 27, 29, 30, 33, 38, 41, 42, 45, 47, 50, 58, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 23, 24, 26, 29, 31, 33, 38, 41, 42, 44, 46, 50, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 23, 24, 26, 29, 30, 33, 38, 41, 42, 44, 47, 49, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 23, 24, 26, 28, 31, 33, 38, 41, 42, 45, 46, 49, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 23, 24, 26, 28, 30, 33, 38, 41, 42, 45, 47, 50, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 23, 24, 29, 32, 34, 37, 39, 42, 43, 45, 47, 51, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 23, 24, 26, 29, 32, 34, 37, 39, 42, 43, 48, 51, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 19, 21, 22, 26, 28, 30, 34, 35, 36, 37, 38, 50, 53, 54, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 19, 21, 22, 26, 27, 28, 33, 34, 35, 37, 38, 52, 53, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 23, 29, 32, 34, 37, 39, 40, 43, 45, 51, 58, 60, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 23, 24, 26, 29, 32, 34, 37, 39, 40, 46, 48, 51, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 28, 30, 44, 45, 46, 47, 48, 50, 53, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 25, 28, 45, 46, 47, 49, 50, 52, 53, 58, 59, 60, 63 ], [ 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, 28, 30, 43, 44, 45, 48, 50, 53, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 24, 25, 28, 43, 45, 49, 50, 52, 53, 60, 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, 44, 46, 47, 48, 49, 50, 51, 53, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 28, 43, 47, 48, 49, 50, 52, 53, 58, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 28, 30, 43, 46, 47, 48, 50, 53, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 27, 43, 44, 47, 48, 49, 51, 52, 53, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 25, 30, 47, 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, 43, 44, 46, 48, 50, 51, 52, 53, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 28, 46, 48, 49, 50, 52, 53, 59, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 28, 30, 48, 50, 53, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 27, 30, 44, 48, 51, 53, 59, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 25, 43, 50, 51, 52, 53, 58, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 25, 27, 49, 51, 52, 53, 59, 60, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 19, 23, 27, 32, 33, 35, 36, 37, 38, 40, 41, 49, 56, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 19, 23, 27, 30, 32, 33, 35, 37, 38, 40, 41, 52, 53, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 19, 21, 22, 26, 28, 35, 36, 37, 49, 50, 52, 53, 54, 55, 58, 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, 16, 19, 23, 27, 30, 32, 33, 40, 41, 52, 53, 54, 55, 56, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 19, 21, 22, 26, 28, 30, 33, 34, 35, 38, 50, 56, 58, 62, 63, 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, 15, 19, 21, 22, 26, 28, 33, 35, 49, 50, 52, 55, 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, 16, 19, 23, 27, 32, 37, 40, 41, 49, 53, 55, 56, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 22, 26, 28, 30, 33, 35, 36, 38, 41, 42, 43, 50, 56, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 22, 25, 29, 31, 33, 35, 36, 38, 41, 42, 43, 50, 56, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 22, 25, 27, 29, 31, 33, 35, 36, 38, 41, 42, 49, 56, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 19, 21, 22, 26, 28, 33, 37, 38, 49, 50, 52, 53, 55, 56, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 19, 21, 22, 26, 28, 30, 33, 36, 37, 38, 50, 55, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 22, 26, 28, 30, 33, 35, 37, 38, 41, 42, 50, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 19, 21, 22, 26, 28, 36, 38, 49, 50, 52, 54, 55, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 19, 21, 22, 26, 28, 30, 38, 50, 53, 54, 55, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 22, 26, 28, 30, 41, 42, 43, 50, 53, 55, 56, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 22, 26, 28, 30, 33, 41, 42, 50, 54, 55, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 22, 25, 29, 31, 41, 42, 43, 50, 53, 55, 56, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 22, 25, 27, 29, 31, 41, 42, 49, 53, 55, 56, 59, 63, 64 ] ]; ### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 227 ### These nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: ### DS17[5], DS17[20], DS17[24], DS17[32], DS17[36], DS17[39], DS17[49], DS17[59], DS17[61], DS17[86], DS17[87], DS17[94], DS17[96], DS17[99], DS17[100], DS17[101], DS17[102], DS17[103], DS17[106], DS17[115], DS17[116], DS17[125], DS17[142], DS17[152], DS17[161], DS17[165], DS17[166], DS17[167], DS17[181], DS17[185], DS17[187], DS17[189], DS17[192], DS17[216], DS17[217], DS17[226], DS17[235], DS17[237], DS17[245], DS17[246], DS17[247], DS17[270], DS17[271], DS17[272], DS17[275], DS17[278], DS17[281], DS17[286], DS17[301], DS17[307], DS17[314], DS17[320], DS17[329], DS17[334], DS17[338], DS17[339], DS17[343], DS17[350], DS17[357], DS17[359], DS17[362], DS17[366], DS17[371], DS17[376], DS17[378], DS17[379], DS17[400], DS17[402], DS17[410], DS17[413], DS17[421], DS17[425], DS17[426], DS17[427], DS17[428], DS17[442], DS17[445], DS17[448], DS17[451], DS17[456], DS17[459], DS17[467], DS17[468], DS17[474], DS17[490], DS17[497], DS17[499], DS17[510], DS17[520], DS17[522], DS17[532], DS17[537], DS17[539], DS17[564], DS17[565], DS17[570], DS17[582], DS17[584], DS17[586], DS17[589], DS17[604], DS17[608], DS17[635], DS17[644], DS17[648], DS17[656], DS17[659], DS17[663], DS17[679], DS17[681], DS17[682], DS17[685], DS17[686], DS17[689], DS17[690], DS17[701], DS17[702], DS17[707], DS17[715], DS17[724], DS17[726], DS17[728], DS17[741], DS17[744], DS17[746], DS17[748], DS17[750], DS17[759], DS17[761], DS17[763], DS17[776], DS17[780], DS17[789], DS17[790], DS17[792], DS17[797], DS17[799], DS17[800], DS17[801], DS17[802], DS17[814], DS17[815], DS17[820], DS17[821], DS17[823], DS17[825], DS17[827], DS17[829], DS17[831], DS17[832], DS17[833], DS17[834], DS17[835], DS17[836], DS17[837], DS17[838], DS17[839], DS17[840], DS17[849], DS17[857], DS17[860], DS17[865], DS17[867], DS17[871], DS17[872], DS17[875], DS17[877], DS17[878], DS17[879], DS17[880], DS17[881], DS17[882], DS17[883], DS17[884], DS17[885], DS17[892], DS17[896], DS17[897], DS17[898], DS17[900], DS17[901], DS17[903], DS17[904], DS17[905], DS17[906], DS17[907], DS17[908], DS17[909], DS17[910], DS17[911], DS17[917], DS17[920], DS17[927], DS17[932], DS17[933], DS17[934], DS17[935], DS17[937], DS17[938], DS17[939], DS17[944], DS17[949], DS17[952], DS17[956], DS17[958], DS17[961], DS17[966], DS17[968], DS17[969], DS17[971], DS17[972], DS17[973], DS17[982], DS17[983], DS17[988], DS17[991], DS17[992], DS17[995], DS17[1000], DS17[1001], DS17[1002], DS17[1003], DS17[1004], DS17[1005], DS17[1009], DS17[1011], DS17[1012]. # Note that there is no reversible (64,28,12) difference sets in # group [64,17]. ########################### ########################### ###########################