### 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 [64,144]. Also, we determine the nonisomorphic # symmetric (64,28,12) designs that rise from these DSs. # Finally, We list all inequivalent reversible (64,28,12) difference # sets in group [64,144]. # 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(64,144));' can be # used to create a list e of the elements of the group [64,144]. # In our list of (64,28,12) DSs in group [64,144], we have [1, # 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, # 30, 34, 37, 39, 43, 49, 50, 51, 54, 57, 60, 63, 64]. # This list denotes the elements [ e[1], e[2], e[3], # e[4], e[6], e[7], e[9], e[10], e[11], e[13], e[14], e[16], e[19], e[22], e[23], e[30], # e[34], e[37], e[39], e[43], e[49], e[50], e[51], e[54], e[57], e[60], e[63], e[64]] # where e is the list of the elements of the group [64,144] as they # appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,144));' ########################### ########################### ########################### ### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs ### that rise from these DSs in group [64, 144] ### The number of inequivalent (64,28,12) DSs in group [64,144] is 904 ### The list of all inequivalent (64,28,12) DSs in group [64,144] is DS144:=[ [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 30, 34, 37, 39, 43, 49, 50, 51, 54, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 30, 34, 37, 39, 43, 44, 49, 50, 51, 54, 57, 58, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 28, 30, 34, 37, 39, 43, 50, 54, 57, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 28, 30, 34, 37, 39, 43, 44, 50, 54, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 29, 30, 37, 40, 43, 49, 53, 54, 55, 57, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 29, 30, 37, 40, 43, 44, 49, 53, 54, 55, 57, 58, 62 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 19, 22, 28, 30, 36, 39, 44, 50, 53, 54, 55, 57, 58, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 19, 22, 28, 30, 34, 36, 39, 44, 50, 54, 57, 58, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 19, 22, 23, 28, 30, 36, 39, 43, 45, 50, 53, 54, 55, 57, 59, 62 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 19, 22, 23, 28, 30, 34, 36, 39, 43, 45, 50, 54, 57, 59, 62, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 29, 30, 36, 40, 44, 49, 53, 54, 55, 57, 58, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 23, 29, 30, 36, 40, 43, 45, 49, 53, 54, 55, 57, 59, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 15, 19, 22, 24, 27, 28, 31, 34, 37, 39, 48, 49, 52, 53, 55, 56, 57, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 15, 19, 22, 24, 25, 27, 28, 31, 34, 37, 39, 46, 49, 52, 53, 55, 56, 57, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 29, 31, 37, 39, 43, 46, 47, 48, 49, 52, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 29, 31, 37, 39, 43, 44, 46, 47, 48, 49, 52, 58, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 17, 18, 22, 29, 31, 36, 39, 44, 46, 47, 48, 49, 52, 58, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 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20, 23, 25, 27, 28, 29, 31, 36, 39, 42, 43, 48, 54, 55, 58, 59, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 18, 23, 27, 28, 30, 31, 36, 38, 43, 45, 50, 52, 54, 58, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 17, 18, 19, 30, 31, 33, 35, 36, 38, 43, 44, 49, 52, 54, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 20, 21, 23, 26, 27, 32, 40, 44, 46, 49, 51, 53, 55, 58, 59, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 20, 21, 23, 26, 27, 28, 32, 34, 40, 44, 46, 58, 59, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 18, 20, 21, 26, 27, 32, 33, 34, 35, 40, 44, 46, 57, 58, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 17, 18, 20, 25, 28, 31, 35, 36, 40, 42, 43, 48, 54, 58, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 18, 19, 30, 31, 33, 36, 38, 40, 43, 52, 54, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 18, 20, 21, 26, 27, 32, 40, 44, 46, 53, 54, 55, 57, 58, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 17, 21, 23, 29, 30, 32, 34, 37, 42, 44, 45, 47, 48, 49, 53, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 17, 21, 23, 28, 29, 30, 32, 34, 37, 42, 45, 47, 48, 51, 53, 58, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 17, 21, 23, 25, 29, 30, 32, 37, 42, 44, 45, 46, 47, 49, 55, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 17, 21, 23, 25, 28, 29, 30, 32, 37, 42, 45, 46, 47, 51, 55, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 16, 19, 21, 22, 23, 24, 32, 44, 48, 49, 50, 51, 52, 53, 59, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 16, 19, 21, 22, 23, 24, 28, 32, 48, 50, 52, 53, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 16, 18, 19, 31, 32, 37, 38, 40, 41, 45, 46, 48, 49, 54, 57, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 26, 27, 28, 31, 32, 36, 38, 41, 43, 46, 47, 50, 51, 53, 54, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 22, 23, 26, 28, 30, 38, 41, 42, 43, 44, 47, 49, 53, 54, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 22, 23, 26, 27, 28, 30, 38, 41, 42, 44, 47, 50, 53, 54, 58, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 20, 23, 25, 26, 28, 32, 36, 39, 42, 43, 47, 51, 54, 55, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 20, 23, 25, 26, 27, 32, 36, 39, 42, 44, 47, 50, 54, 55, 60, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 19, 27, 30, 32, 37, 45, 48, 49, 51, 52, 53, 55, 56, 58, 59, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 19, 27, 28, 30, 32, 34, 37, 45, 48, 52, 56, 58, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 18, 19, 25, 30, 37, 38, 39, 40, 41, 44, 46, 53, 54, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 17, 18, 19, 33, 37, 38, 39, 41, 44, 46, 48, 52, 53, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 26, 28, 29, 30, 36, 38, 41, 44, 47, 49, 50, 53, 54, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 18, 26, 27, 29, 36, 38, 43, 46, 47, 49, 51, 52, 54, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 18, 20, 22, 23, 26, 43, 46, 47, 49, 51, 52, 54, 59, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 18, 20, 22, 23, 26, 27, 46, 47, 50, 51, 52, 54, 58, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 16, 18, 30, 32, 33, 37, 38, 39, 41, 44, 52, 53, 54, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 16, 17, 30, 32, 34, 37, 38, 39, 40, 44, 52, 53, 55, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 23, 26, 27, 29, 31, 38, 41, 42, 47, 53, 54, 58, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 22, 26, 29, 31, 38, 42, 45, 47, 50, 54, 58, 60, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 20, 22, 26, 31, 35, 36, 39, 44, 47, 48, 50, 53, 54, 55, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 18, 20, 22, 26, 31, 35, 36, 41, 47, 48, 50, 53, 54, 55, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 24, 27, 45, 46, 48, 49, 51, 52, 53, 58, 59, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 24, 27, 28, 44, 45, 46, 48, 52, 53, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 24, 25, 43, 44, 45, 50, 51, 52, 53, 58, 61, 62, 63 ], [ 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, 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, 24, 44, 46, 48, 50, 51, 52, 53, 58, 59, 62, 63 ], [ 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, 25, 30, 44, 46, 49, 50, 51, 53, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 25, 28, 30, 46, 50, 53, 58, 59, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 19, 21, 24, 25, 28, 32, 33, 42, 53, 55, 57, 59, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 18, 19, 25, 31, 33, 37, 38, 41, 45, 46, 49, 57, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 23, 26, 27, 28, 29, 31, 36, 38, 41, 47, 49, 53, 54, 58, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 20, 22, 23, 26, 27, 29, 31, 41, 44, 47, 49, 53, 54, 58, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 26, 27, 28, 31, 36, 38, 43, 47, 50, 51, 54, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 23, 26, 31, 36, 38, 43, 45, 47, 54, 58, 60, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 20, 22, 23, 26, 27, 29, 31, 47, 54, 58, 60, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 17, 21, 22, 24, 25, 37, 40, 44, 45, 48, 52, 53, 55, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 17, 19, 21, 22, 24, 25, 37, 41, 48, 52, 53, 55, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 21, 24, 28, 32, 33, 39, 41, 42, 46, 48, 54, 57, 59, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 21, 22, 24, 25, 30, 35, 39, 40, 44, 46, 50, 53, 55, 57, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 21, 22, 24, 25, 30, 34, 35, 39, 40, 46, 50, 57, 58, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 19, 21, 22, 24, 25, 30, 39, 41, 46, 50, 53, 54, 58, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 18, 30, 31, 32, 33, 37, 38, 41, 45, 46, 49, 54, 57, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 18, 25, 31, 33, 34, 37, 38, 45, 46, 53, 54, 58, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 18, 19, 21, 22, 24, 25, 30, 44, 46, 50, 53, 54, 57, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 17, 31, 32, 34, 37, 38, 40, 45, 52, 55, 57, 58, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 17, 30, 31, 32, 34, 37, 38, 40, 45, 46, 49, 55, 57, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 17, 30, 31, 32, 34, 37, 38, 39, 40, 45, 46, 53, 55, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 16, 17, 18, 25, 31, 34, 37, 38, 39, 40, 45, 46, 57, 58, 61, 62 ] ]; ### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 384 ### These nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: ### DS144[1], DS144[4], DS144[6], DS144[7], DS144[10], DS144[11], DS144[12], DS144[13], DS144[15], DS144[17], DS144[19], DS144[21], DS144[23], DS144[24], DS144[25], DS144[27], DS144[28], DS144[29], DS144[30], DS144[31], DS144[32], DS144[33], DS144[34], DS144[35], DS144[36], DS144[52], DS144[61], DS144[64], DS144[72], DS144[75], DS144[78], DS144[79], DS144[80], DS144[85], DS144[86], DS144[87], DS144[90], DS144[91], DS144[99], DS144[100], DS144[101], DS144[102], DS144[108], DS144[111], DS144[113], DS144[114], DS144[122], DS144[123], DS144[125], DS144[127], DS144[128], DS144[131], DS144[132], DS144[133], DS144[136], DS144[138], DS144[140], DS144[141], DS144[150], DS144[151], DS144[152], DS144[157], DS144[158], DS144[159], DS144[161], DS144[162], DS144[163], DS144[165], DS144[166], DS144[167], DS144[170], DS144[172], DS144[173], DS144[178], DS144[193], DS144[194], DS144[207], DS144[208], DS144[209], DS144[210], DS144[220], DS144[224], DS144[225], DS144[226], DS144[232], DS144[238], DS144[241], DS144[242], DS144[244], DS144[245], DS144[247], DS144[248], DS144[249], DS144[250], DS144[260], DS144[268], DS144[269], DS144[271], DS144[275], DS144[277], DS144[278], DS144[279], DS144[280], DS144[282], DS144[283], DS144[287], DS144[288], DS144[292], DS144[293], DS144[295], DS144[297], DS144[300], DS144[301], DS144[303], DS144[304], DS144[308], DS144[310], DS144[316], DS144[322], DS144[323], DS144[329], DS144[330], DS144[331], DS144[333], DS144[334], DS144[335], DS144[337], DS144[340], DS144[341], DS144[343], DS144[362], DS144[369], DS144[370], DS144[372], DS144[375], DS144[378], DS144[379], DS144[380], DS144[381], DS144[394], DS144[398], DS144[401], DS144[417], DS144[419], DS144[420], DS144[421], DS144[422], DS144[426], DS144[429], DS144[433], DS144[435], DS144[436], DS144[437], DS144[438], DS144[439], DS144[443], DS144[446], DS144[449], DS144[452], DS144[464], DS144[468], DS144[471], DS144[472], DS144[478], DS144[479], DS144[483], DS144[484], DS144[494], DS144[498], DS144[499], DS144[506], DS144[507], DS144[509], DS144[514], DS144[515], DS144[516], DS144[521], DS144[522], DS144[527], DS144[530], DS144[531], DS144[532], DS144[535], DS144[539], DS144[540], DS144[541], DS144[546], DS144[547], DS144[548], DS144[555], DS144[556], DS144[559], DS144[560], DS144[563], DS144[570], DS144[571], DS144[572], DS144[579], DS144[580], DS144[581], DS144[582], DS144[583], DS144[601], DS144[605], DS144[606], DS144[607], DS144[609], DS144[611], DS144[612], DS144[614], DS144[617], DS144[621], DS144[623], DS144[629], DS144[630], DS144[631], DS144[632], DS144[633], DS144[637], DS144[639], DS144[642], DS144[643], DS144[645], DS144[646], DS144[647], DS144[654], DS144[655], DS144[656], DS144[657], DS144[658], DS144[659], DS144[660], DS144[661], DS144[662], DS144[663], DS144[665], DS144[667], DS144[668], DS144[671], DS144[672], DS144[683], DS144[684], DS144[685], DS144[687], DS144[688], DS144[689], DS144[691], DS144[692], DS144[694], DS144[695], DS144[696], DS144[698], DS144[699], DS144[701], DS144[703], DS144[706], DS144[707], DS144[711], DS144[712], DS144[719], DS144[721], DS144[723], DS144[731], DS144[732], DS144[733], DS144[735], DS144[738], DS144[767], DS144[770], DS144[771], DS144[772], DS144[773], DS144[774], DS144[776], DS144[779], DS144[780], DS144[781], DS144[782], DS144[783], DS144[784], DS144[785], DS144[786], DS144[787], DS144[788], DS144[789], DS144[790], DS144[791], DS144[792], DS144[793], DS144[794], DS144[795], DS144[796], DS144[797], DS144[798], DS144[799], DS144[800], DS144[801], DS144[803], DS144[804], DS144[805], DS144[806], DS144[807], DS144[808], DS144[809], DS144[810], DS144[812], DS144[813], DS144[814], DS144[815], DS144[816], DS144[817], DS144[818], DS144[819], DS144[820], DS144[821], DS144[824], DS144[825], DS144[826], DS144[827], DS144[828], DS144[831], DS144[832], DS144[833], DS144[834], DS144[835], DS144[836], DS144[837], DS144[839], DS144[840], DS144[841], DS144[842], DS144[843], DS144[844], DS144[846], DS144[847], DS144[849], DS144[850], DS144[851], DS144[852], DS144[855], DS144[856], DS144[857], DS144[858], DS144[859], DS144[860], DS144[861], DS144[862], DS144[863], DS144[864], DS144[865], DS144[866], DS144[867], DS144[868], DS144[869], DS144[870], DS144[871], DS144[872], DS144[873], DS144[874], DS144[875], DS144[877], DS144[878], DS144[880], DS144[883], DS144[885], DS144[886], DS144[887], DS144[888], DS144[889], DS144[890], DS144[891], DS144[892], DS144[893], DS144[894], DS144[895], DS144[896], DS144[897], DS144[898], DS144[899], DS144[900], DS144[901], DS144[902], DS144[903], DS144[904]. # Finally, We list all inequivalent reversible (64,28,12) difference # sets in group [64,144]. ### The number of inequivalent reversible (64,28,12) DSs in group [64,144] is 192 ### The list of all inequivalent reversible (64,28,12) DSs in group [64,144] is RDS144:=[ [ 4, 5, 8, 9, 13, 15, 17, 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