# This is a joint work done by Omar A. AbuGhneim from Jordan University (Email: o_abughneim@yahoo.com) and Ken W. Smith from # Sam Houston State University (Email: kenwsmith@shsu.edu). # In this file we list the inequivalent regular (96,20,4,4) partial difference sets. # There are 9 groups of order 96 that contain regular (96,20,4,4) partial difference sets. These groups are [96,i] where i in {64, 70, 71, 186, 190, # 195, 197, 226, 227 }. In each one of these groups, we list the inequivalent regular (96,20,4,4) partial difference sets. # # We used the software GAP to find these inequivalent regular (96,20,4,4) partial difference sets. # ### Note: The GAP command "e:=Elements(SmallGroup(96,64));" can be used to create a list e of the elements of the group [96,64]. ### In our list of inequivalent regular (96,20,4,4) partial DSs in group [96,64], we have [ 2, 3, 4, 8, 9, 13, 19, 20, 32, 36, 39, 47, 55, 57, 59, ### 64, 71, 72, 86, 94 ]. This list denote the elements [e[2], e[3], e[4], e[8], e[9], e[13], e[19], e[20], e[32], e[36], e[39], e[47], e[55], e[57], ### e[59], e[64], e[71], e[72], e[86], e[94] ] where e is the list of the elements of the group [96,64] as they appear when one uses ### the GAP command "e:=Elements(SmallGroup(96,64));". ### List of Inequivalent Regular (96,20,4,4) Partial Difference Sets. RegParDSs:= [ #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 1]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 2]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 3]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 4]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 5]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 6]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 7]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 8]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 9]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 10]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 11]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 12]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 13]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 14]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 15]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 16]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 17]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 18]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 19]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 20]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 21]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 22]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 23]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 24]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 25]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 26]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 27]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 28]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 29]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 30]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 31]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 32]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 33]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 34]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 35]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 36]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 37]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 38]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 39]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 40]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 41]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 42]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 43]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 44]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 45]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 46]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 47]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 48]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 49]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 50]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 51]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 52]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 53]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 54]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 55]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 56]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 57]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 58]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 59]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 60]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 61]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 62]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 63]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 64]: [ [ 2, 3, 4, 8, 9, 13, 19, 20, 32, 36, 39, 47, 55, 57, 59, 64, 71, 72, 86, 94 ], [ 2, 3, 4, 9, 13, 14, 17, 32, 37, 40, 45, 47, 63, 73, 76, 77, 79, 84, 91, 95 ], [ 2, 3, 4, 9, 13, 19, 20, 24, 32, 36, 39, 43, 47, 59, 65, 71, 75, 86, 93, 96 ], [ 2, 3, 4, 13, 14, 15, 19, 20, 24, 30, 33, 47, 63, 69, 76, 77, 84, 87, 88, 91 ], [ 2, 3, 6, 7, 13, 15, 16, 24, 30, 33, 43, 45, 59, 65, 68, 73, 75, 77, 87, 91 ], [ 2, 3, 8, 9, 13, 24, 27, 28, 32, 36, 39, 43, 58, 59, 65, 71, 75, 86, 93, 96 ], [ 2, 3, 8, 9, 13, 27, 28, 32, 36, 39, 41, 58, 59, 64, 72, 75, 77, 79, 85, 91 ] ], # There are 7 inequivalent regular (96,20,4,4) partial difference sets in group [96, 64]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 65]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 66]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 67]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 68]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 69]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 70]: [ [ 2, 3, 8, 9, 11, 13, 24, 30, 36, 38, 39, 44, 55, 67, 77, 80, 83, 89, 91, 92 ], [ 2, 3, 9, 11, 13, 25, 28, 30, 36, 38, 39, 44, 50, 51, 56, 67, 76, 89, 94, 96 ], [ 2, 8, 9, 11, 14, 15, 24, 30, 35, 55, 63, 65, 71, 72, 77, 80, 83, 86, 91, 92 ], [ 2, 8, 9, 11, 14, 15, 24, 30, 35, 56, 63, 65, 71, 72, 76, 81, 82, 86, 90, 93 ], [ 3, 4, 5, 8, 13, 15, 17, 24, 35, 37, 43, 47, 48, 55, 64, 77, 80, 83, 91, 92 ], [ 3, 4, 5, 8, 13, 15, 17, 24, 35, 37, 43, 47, 48, 56, 64, 76, 81, 82, 90, 93 ], [ 3, 4, 5, 13, 15, 17, 25, 35, 37, 43, 47, 48, 49, 52, 57, 58, 64, 77, 80, 96 ], [ 3, 4, 5, 13, 15, 17, 26, 35, 37, 43, 47, 48, 52, 54, 58, 64, 74, 75, 81, 93 ], [ 3, 4, 7, 8, 13, 19, 23, 24, 25, 26, 38, 44, 53, 66, 69, 70, 75, 78, 88, 96 ], [ 3, 4, 7, 13, 19, 23, 25, 27, 38, 44, 66, 69, 70, 79, 81, 83, 88, 92, 93, 96 ] ], # There are 10 inequivalent regular (96,20,4,4) partial difference sets in group [96, 70]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 71]: [ [ 2, 3, 11, 12, 13, 14, 15, 25, 34, 49, 52, 58, 63, 69, 77, 80, 83, 87, 88, 96 ], [ 3, 4, 13, 14, 15, 19, 20, 25, 47, 49, 52, 58, 63, 69, 77, 80, 83, 87, 88, 96 ], [ 3, 4, 13, 14, 15, 19, 20, 47, 52, 53, 55, 57, 58, 63, 67, 78, 87, 89, 91, 92 ], [ 3, 4, 13, 14, 19, 20, 26, 27, 47, 53, 54, 63, 64, 67, 72, 74, 76, 78, 79, 89 ], [ 3, 9, 13, 14, 15, 25, 30, 31, 49, 52, 58, 61, 63, 69, 77, 80, 83, 87, 88, 96 ], [ 3, 9, 13, 14, 15, 30, 31, 52, 53, 55, 57, 58, 61, 63, 67, 78, 87, 89, 91, 92 ], [ 3, 9, 13, 14, 26, 27, 30, 31, 53, 54, 61, 63, 64, 67, 72, 74, 76, 78, 79, 89 ] ], # There are 7 inequivalent regular (96,20,4,4) partial difference sets in group [96, 71]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 72]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 73]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 74]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 75]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 76]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 77]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 78]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 79]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 80]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 81]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 82]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 83]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 84]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 85]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 86]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 87]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 88]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 89]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 90]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 91]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 92]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 93]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 94]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 95]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 96]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 97]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 98]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 99]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 100]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 101]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 102]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 103]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 104]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 105]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 106]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 107]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 108]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 109]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 110]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 111]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 112]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 113]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 114]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 115]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 116]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 117]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 118]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 119]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 120]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 121]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 122]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 123]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 124]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 125]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 126]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 127]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 128]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 129]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 130]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 131]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 132]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 133]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 134]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 135]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 136]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 137]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 138]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 139]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 140]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 141]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 142]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 143]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 144]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 145]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 146]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 147]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 148]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 149]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 150]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 151]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 152]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 153]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 154]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 155]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 156]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 157]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 158]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 159]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 160]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 161]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 162]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 163]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 164]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 165]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 166]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 167]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 168]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 169]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 170]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 171]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 172]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 173]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 174]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 175]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 176]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 177]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 178]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 179]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 180]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 181]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 182]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 183]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 184]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 185]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 186]: [ [ 2, 3, 5, 10, 13, 14, 15, 20, 27, 33, 34, 36, 50, 53, 63, 69, 71, 72, 86, 92 ], [ 2, 5, 6, 14, 18, 20, 23, 27, 31, 34, 39, 43, 45, 50, 60, 63, 89, 91, 93, 95 ], [ 2, 5, 9, 10, 14, 20, 31, 33, 34, 40, 44, 53, 59, 60, 63, 70, 85, 91, 92, 93 ], [ 2, 5, 9, 20, 32, 34, 39, 44, 53, 59, 61, 62, 69, 70, 84, 86, 91, 92, 93, 95 ], [ 2, 5, 10, 14, 16, 20, 27, 33, 34, 37, 41, 50, 53, 63, 66, 69, 71, 72, 86, 92 ], [ 2, 5, 10, 14, 20, 27, 33, 34, 50, 52, 53, 63, 69, 71, 72, 74, 78, 86, 90, 92 ], [ 2, 5, 10, 14, 20, 27, 33, 34, 50, 53, 61, 63, 69, 71, 72, 82, 84, 86, 92, 94 ], [ 2, 5, 10, 14, 20, 27, 33, 34, 50, 53, 63, 69, 71, 72, 79, 86, 91, 92, 93, 96 ], [ 3, 5, 11, 12, 13, 15, 20, 26, 32, 36, 51, 62, 64, 65, 67, 71, 72, 75, 80, 88 ], [ 5, 6, 7, 18, 19, 20, 32, 39, 44, 53, 61, 62, 69, 70, 84, 86, 91, 92, 93, 95 ], [ 5, 8, 20, 24, 32, 39, 44, 53, 55, 61, 62, 69, 70, 77, 84, 86, 91, 92, 93, 95 ], [ 5, 11, 12, 15, 20, 26, 36, 41, 43, 51, 61, 65, 66, 67, 68, 79, 84, 87, 89, 96 ], [ 5, 11, 12, 20, 26, 32, 43, 51, 57, 61, 62, 65, 67, 68, 79, 83, 84, 87, 89, 96 ], [ 5, 11, 12, 20, 26, 32, 51, 62, 64, 65, 67, 71, 72, 75, 79, 80, 88, 91, 93, 96 ] ], # There are 14 inequivalent regular (96,20,4,4) partial difference sets in group [96, 186]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 187]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 188]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 189]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 190]: [ [ 2, 3, 4, 5, 11, 13, 16, 17, 22, 33, 35, 45, 56, 58, 62, 64, 72, 75, 88, 96 ], [ 2, 4, 5, 9, 10, 14, 17, 22, 30, 32, 34, 37, 40, 46, 63, 66, 78, 87, 89, 93 ], [ 2, 4, 5, 10, 13, 17, 22, 30, 31, 32, 34, 35, 36, 39, 46, 50, 69, 77, 85, 89 ], [ 2, 4, 5, 11, 14, 17, 22, 28, 33, 36, 40, 45, 56, 62, 68, 72, 75, 85, 86, 96 ], [ 2, 4, 5, 13, 15, 17, 19, 22, 25, 26, 35, 41, 42, 56, 57, 58, 62, 68, 81, 86 ], [ 2, 4, 5, 14, 17, 19, 22, 25, 26, 28, 32, 40, 42, 66, 67, 82, 83, 87, 94, 95 ], [ 2, 4, 8, 9, 12, 17, 27, 28, 29, 30, 36, 45, 68, 72, 75, 82, 84, 85, 86, 96 ], [ 2, 4, 9, 10, 17, 30, 32, 34, 37, 46, 56, 63, 66, 74, 78, 82, 87, 89, 91, 93 ] ], # There are 8 inequivalent regular (96,20,4,4) partial difference sets in group [96, 190]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 191]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 192]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 193]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 194]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 195]: [ [ 2, 3, 5, 6, 8, 9, 10, 19, 20, 24, 32, 33, 44, 62, 64, 66, 68, 69, 70, 95 ], [ 2, 3, 5, 6, 8, 9, 10, 20, 24, 32, 33, 37, 43, 45, 62, 65, 68, 69, 85, 89 ], [ 2, 3, 5, 6, 8, 9, 19, 20, 24, 31, 44, 60, 61, 64, 66, 68, 69, 70, 84, 95 ], [ 2, 3, 5, 6, 8, 9, 20, 24, 31, 37, 43, 45, 60, 61, 65, 68, 69, 84, 85, 89 ], [ 2, 3, 5, 6, 11, 12, 19, 20, 31, 34, 44, 52, 56, 64, 66, 68, 69, 70, 74, 95 ], [ 2, 3, 5, 6, 11, 12, 19, 20, 33, 34, 44, 54, 58, 64, 66, 68, 69, 70, 76, 95 ], [ 2, 3, 5, 6, 11, 12, 19, 20, 34, 44, 60, 64, 66, 68, 69, 70, 78, 81, 90, 95 ], [ 2, 3, 5, 6, 11, 12, 20, 31, 34, 37, 43, 45, 52, 56, 65, 68, 69, 74, 85, 89 ], [ 2, 3, 5, 6, 11, 12, 20, 33, 34, 37, 43, 45, 54, 58, 65, 68, 69, 76, 85, 89 ], [ 2, 3, 5, 6, 11, 12, 20, 34, 37, 43, 45, 60, 65, 68, 69, 78, 81, 85, 89, 90 ], [ 2, 3, 5, 8, 9, 10, 15, 16, 20, 24, 40, 41, 43, 58, 67, 75, 80, 86, 87, 89 ], [ 2, 3, 5, 8, 9, 10, 15, 16, 20, 24, 41, 43, 53, 58, 65, 68, 69, 85, 89, 92 ], [ 2, 3, 5, 11, 12, 18, 20, 23, 33, 34, 37, 40, 43, 54, 58, 67, 76, 86, 87, 89 ], [ 2, 3, 5, 11, 12, 18, 20, 23, 34, 37, 40, 43, 60, 67, 78, 81, 86, 87, 89, 90 ], [ 2, 3, 5, 13, 14, 15, 20, 26, 28, 34, 36, 38, 51, 58, 68, 69, 71, 72, 75, 80 ], [ 2, 3, 5, 15, 16, 20, 26, 33, 41, 44, 51, 54, 58, 59, 64, 68, 69, 70, 76, 95 ], [ 2, 3, 5, 15, 16, 20, 26, 41, 44, 51, 59, 60, 64, 68, 69, 70, 78, 81, 90, 95 ], [ 2, 4, 5, 6, 8, 9, 10, 16, 20, 24, 32, 33, 40, 62, 64, 66, 67, 71, 72, 95 ], [ 2, 4, 5, 6, 8, 9, 16, 20, 24, 31, 40, 60, 61, 64, 66, 67, 71, 72, 84, 95 ], [ 2, 4, 5, 6, 11, 12, 16, 20, 31, 34, 40, 52, 56, 64, 66, 67, 71, 72, 74, 95 ], [ 2, 4, 5, 6, 11, 12, 16, 20, 33, 34, 40, 54, 58, 64, 66, 67, 71, 72, 76, 95 ], [ 2, 4, 5, 6, 11, 12, 16, 20, 34, 40, 60, 64, 66, 67, 71, 72, 78, 81, 90, 95 ], [ 2, 4, 5, 8, 9, 10, 18, 19, 20, 24, 40, 43, 45, 58, 67, 75, 80, 86, 87, 89 ], [ 2, 4, 5, 11, 12, 15, 20, 23, 33, 34, 37, 39, 44, 54, 58, 70, 76, 86, 87, 88 ], [ 2, 4, 5, 18, 19, 20, 26, 33, 44, 45, 51, 54, 58, 59, 64, 68, 69, 70, 76, 95 ], [ 2, 5, 6, 10, 11, 12, 15, 18, 20, 34, 36, 40, 43, 58, 67, 75, 80, 86, 87, 89 ], [ 2, 5, 6, 11, 12, 15, 18, 20, 28, 33, 34, 36, 40, 43, 53, 67, 86, 87, 89, 92 ], [ 2, 5, 6, 11, 12, 15, 18, 20, 31, 34, 36, 39, 65, 71, 72, 79, 81, 85, 88, 96 ], [ 2, 5, 6, 11, 12, 15, 18, 20, 34, 36, 39, 56, 60, 65, 71, 72, 85, 88, 91, 93 ], [ 2, 5, 6, 14, 18, 20, 23, 27, 34, 38, 39, 43, 45, 50, 56, 81, 88, 89, 91, 93 ], [ 2, 5, 6, 15, 18, 20, 26, 31, 36, 44, 51, 59, 60, 61, 64, 68, 69, 70, 84, 95 ], [ 2, 5, 6, 15, 18, 20, 26, 36, 44, 51, 56, 59, 64, 68, 69, 70, 81, 82, 94, 95 ], [ 2, 5, 8, 9, 10, 20, 24, 31, 32, 33, 39, 62, 65, 71, 72, 79, 81, 85, 88, 96 ], [ 2, 5, 8, 9, 10, 20, 24, 32, 33, 39, 56, 60, 62, 65, 71, 72, 85, 88, 91, 93 ], [ 2, 5, 9, 10, 14, 20, 33, 34, 38, 40, 44, 56, 59, 67, 70, 75, 79, 80, 81, 96 ], [ 2, 5, 9, 20, 32, 34, 39, 44, 59, 62, 68, 69, 70, 75, 79, 80, 82, 88, 94, 96 ], [ 2, 5, 10, 11, 12, 20, 34, 40, 43, 58, 60, 67, 75, 78, 80, 81, 86, 87, 89, 90 ], [ 2, 5, 11, 12, 20, 28, 33, 34, 40, 43, 53, 60, 67, 78, 81, 86, 87, 89, 90, 92 ], [ 2, 5, 14, 15, 20, 27, 34, 36, 38, 39, 41, 43, 50, 56, 66, 81, 88, 89, 91, 93 ], [ 2, 5, 14, 20, 25, 27, 34, 38, 39, 43, 49, 50, 54, 56, 76, 81, 88, 89, 91, 93 ], [ 2, 5, 14, 20, 26, 28, 34, 38, 51, 58, 61, 68, 69, 71, 72, 75, 80, 82, 84, 94 ], [ 2, 5, 14, 20, 26, 28, 34, 38, 51, 58, 68, 69, 71, 72, 75, 79, 80, 91, 93, 96 ], [ 3, 5, 11, 12, 13, 15, 20, 26, 36, 39, 40, 51, 57, 67, 71, 72, 75, 80, 83, 88 ], [ 5, 6, 7, 18, 19, 20, 32, 39, 44, 62, 68, 69, 70, 75, 79, 80, 82, 88, 94, 96 ], [ 5, 8, 20, 24, 32, 39, 44, 55, 62, 68, 69, 70, 75, 77, 79, 80, 82, 88, 94, 96 ], [ 5, 11, 12, 15, 20, 26, 36, 41, 43, 51, 65, 66, 79, 82, 85, 86, 87, 89, 94, 96 ], [ 5, 11, 12, 20, 26, 32, 43, 51, 57, 62, 65, 79, 82, 83, 85, 86, 87, 89, 94, 96 ], [ 5, 11, 12, 20, 26, 39, 40, 51, 57, 67, 71, 72, 75, 79, 80, 83, 88, 91, 93, 96 ] ], # There are 48 inequivalent regular (96,20,4,4) partial difference sets in group [96, 195]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 196]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 197]: [ [ 2, 4, 9, 10, 11, 17, 24, 28, 32, 38, 58, 61, 64, 66, 71, 73, 74, 79, 91, 95 ], [ 2, 4, 10, 11, 13, 17, 24, 30, 32, 35, 60, 65, 68, 71, 73, 74, 79, 81, 83, 91 ], [ 2, 4, 10, 11, 17, 30, 31, 32, 37, 57, 67, 71, 73, 75, 77, 78, 83, 85, 87, 92 ], [ 2, 4, 10, 11, 17, 30, 32, 37, 38, 51, 52, 60, 64, 71, 73, 81, 83, 87, 90, 96 ], [ 4, 6, 7, 9, 17, 21, 22, 24, 28, 31, 37, 46, 52, 57, 70, 74, 86, 87, 88, 90 ], [ 4, 6, 7, 17, 21, 22, 30, 37, 46, 51, 58, 61, 70, 79, 83, 86, 87, 88, 91, 96 ], [ 4, 8, 9, 17, 24, 25, 26, 28, 38, 53, 58, 61, 64, 66, 71, 73, 74, 79, 91, 95 ], [ 4, 8, 17, 25, 26, 30, 31, 37, 53, 57, 67, 71, 73, 75, 77, 78, 83, 85, 87, 92 ], [ 4, 9, 11, 12, 17, 24, 28, 31, 32, 33, 37, 46, 52, 57, 70, 74, 86, 87, 88, 90 ], [ 4, 9, 15, 16, 17, 24, 28, 31, 37, 39, 40, 46, 52, 57, 70, 74, 86, 87, 88, 90 ], [ 4, 9, 17, 24, 26, 27, 28, 31, 37, 46, 52, 53, 54, 57, 70, 74, 86, 87, 88, 90 ], [ 4, 11, 12, 17, 30, 32, 33, 37, 46, 51, 58, 61, 70, 79, 83, 86, 87, 88, 91, 96 ], [ 4, 11, 12, 17, 30, 32, 33, 37, 46, 65, 68, 70, 76, 77, 82, 83, 84, 87, 92, 93 ], [ 4, 17, 26, 27, 30, 37, 46, 51, 53, 54, 58, 61, 70, 79, 83, 86, 87, 88, 91, 96 ] ], # There are 14 inequivalent regular (96,20,4,4) partial difference sets in group [96, 197]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 198]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 199]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 200]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 201]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 202]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 203]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 204]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 205]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 206]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 207]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 208]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 209]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 210]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 211]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 212]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 213]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 214]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 215]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 216]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 217]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 218]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 219]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 220]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 221]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 222]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 223]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 224]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 225]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 226]: [ [ 2, 3, 4, 5, 8, 10, 15, 18, 20, 28, 33, 34, 40, 43, 55, 58, 67, 86, 87, 89 ], [ 2, 3, 4, 5, 8, 15, 18, 20, 32, 34, 40, 43, 55, 57, 62, 67, 83, 86, 87, 89 ], [ 2, 3, 5, 6, 8, 9, 10, 19, 20, 24, 32, 33, 44, 62, 64, 66, 68, 69, 70, 95 ], [ 2, 3, 5, 6, 8, 9, 19, 20, 24, 31, 44, 60, 61, 64, 66, 68, 69, 70, 84, 95 ], [ 2, 3, 5, 6, 11, 12, 19, 20, 31, 34, 44, 52, 56, 64, 66, 68, 69, 70, 74, 95 ], [ 2, 3, 5, 6, 11, 12, 19, 20, 33, 34, 44, 54, 58, 64, 66, 68, 69, 70, 76, 95 ], [ 2, 3, 5, 6, 11, 12, 19, 20, 34, 44, 60, 64, 66, 68, 69, 70, 78, 81, 90, 95 ], [ 2, 3, 5, 11, 12, 18, 20, 23, 33, 34, 37, 40, 43, 54, 58, 67, 76, 86, 87, 89 ], [ 2, 5, 6, 8, 18, 20, 23, 31, 34, 40, 43, 45, 55, 60, 67, 74, 86, 87, 89, 90 ], [ 2, 5, 6, 8, 18, 20, 23, 34, 40, 43, 45, 55, 61, 67, 84, 86, 87, 89, 91, 96 ], [ 2, 5, 8, 10, 16, 19, 20, 28, 33, 34, 40, 41, 43, 45, 55, 58, 67, 86, 87, 89 ], [ 2, 5, 8, 10, 20, 28, 31, 33, 34, 40, 43, 55, 58, 60, 67, 74, 86, 87, 89, 90 ], [ 2, 5, 8, 10, 20, 28, 33, 34, 40, 43, 52, 55, 56, 58, 67, 78, 81, 86, 87, 89 ], [ 2, 5, 8, 10, 20, 28, 33, 34, 40, 43, 55, 58, 61, 67, 84, 86, 87, 89, 91, 96 ], [ 2, 5, 8, 10, 20, 28, 33, 34, 40, 43, 55, 58, 67, 79, 82, 86, 87, 89, 93, 94 ], [ 2, 5, 8, 15, 18, 20, 34, 40, 41, 45, 55, 61, 64, 67, 71, 72, 82, 84, 94, 95 ], [ 2, 5, 8, 20, 32, 34, 40, 43, 55, 57, 61, 62, 67, 83, 84, 86, 87, 89, 91, 96 ], [ 2, 5, 8, 20, 32, 34, 40, 43, 55, 57, 62, 67, 79, 82, 83, 86, 87, 89, 93, 94 ], [ 3, 4, 5, 11, 12, 15, 18, 20, 26, 27, 32, 40, 43, 57, 62, 67, 83, 86, 87, 89 ], [ 5, 6, 7, 15, 16, 20, 32, 40, 43, 57, 61, 62, 67, 83, 84, 86, 87, 89, 91, 96 ], [ 5, 11, 12, 15, 18, 20, 26, 27, 40, 41, 45, 61, 64, 67, 71, 72, 82, 84, 94, 95 ], [ 5, 11, 12, 20, 26, 27, 32, 40, 43, 57, 61, 62, 67, 83, 84, 86, 87, 89, 91, 96 ], [ 5, 11, 12, 20, 26, 27, 32, 40, 43, 57, 62, 67, 79, 82, 83, 86, 87, 89, 93, 94 ] ], # There are 23 inequivalent regular (96,20,4,4) partial difference sets in group [96, 226]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 227]: [ [ 2, 3, 4, 5, 8, 11, 12, 13, 15, 23, 34, 35, 40, 55, 56, 67, 69, 73, 86, 94 ], [ 2, 3, 4, 6, 8, 9, 10, 13, 20, 23, 29, 37, 44, 55, 56, 67, 69, 70, 88, 94 ], [ 2, 3, 4, 6, 8, 9, 10, 13, 27, 28, 29, 42, 46, 48, 58, 65, 70, 71, 85, 88 ], [ 2, 3, 4, 6, 8, 11, 12, 13, 25, 26, 34, 42, 46, 48, 53, 65, 70, 71, 85, 88 ], [ 2, 3, 4, 6, 9, 10, 13, 20, 23, 26, 27, 29, 37, 44, 67, 69, 70, 81, 82, 88 ], [ 2, 3, 4, 7, 8, 9, 10, 13, 17, 27, 29, 40, 45, 48, 57, 68, 71, 83, 85, 86 ], [ 2, 3, 4, 7, 9, 10, 13, 17, 26, 28, 29, 40, 45, 48, 56, 58, 68, 71, 85, 86 ], [ 2, 3, 4, 7, 9, 10, 13, 24, 29, 37, 44, 45, 48, 52, 67, 69, 70, 75, 88, 92 ], [ 2, 3, 4, 7, 9, 10, 13, 29, 37, 44, 45, 48, 49, 51, 67, 69, 70, 76, 79, 88 ], [ 2, 3, 4, 7, 13, 15, 24, 29, 35, 40, 45, 48, 51, 52, 61, 62, 67, 69, 79, 86 ], [ 2, 3, 4, 9, 10, 13, 17, 19, 24, 29, 40, 46, 68, 71, 73, 76, 77, 85, 86, 96 ], [ 2, 3, 4, 9, 10, 13, 17, 19, 29, 40, 46, 49, 52, 68, 71, 73, 85, 86, 90, 93 ], [ 2, 3, 4, 11, 12, 13, 22, 23, 24, 34, 41, 45, 49, 50, 64, 67, 69, 72, 74, 95 ], [ 2, 3, 4, 11, 12, 13, 22, 23, 34, 41, 45, 52, 64, 67, 69, 72, 76, 78, 91, 95 ], [ 2, 3, 8, 9, 10, 13, 17, 24, 27, 29, 40, 57, 68, 71, 76, 77, 83, 85, 86, 96 ], [ 2, 3, 8, 9, 10, 13, 17, 27, 29, 40, 49, 52, 57, 68, 71, 83, 85, 86, 90, 93 ], [ 2, 3, 8, 9, 10, 13, 27, 28, 29, 40, 43, 49, 52, 58, 66, 77, 86, 87, 89, 96 ], [ 2, 3, 9, 10, 13, 17, 18, 19, 22, 23, 26, 28, 29, 40, 56, 58, 68, 71, 85, 86 ], [ 2, 3, 9, 10, 13, 17, 26, 28, 29, 40, 49, 52, 56, 58, 68, 71, 85, 86, 90, 93 ] ], # There are 19 inequivalent regular (96,20,4,4) partial difference sets in group [96, 227]. #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 228]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 229]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 230]: [ ], #### Inequivalent Regular (96,20,4,4) Partial Difference Sets in group [96, 231]: [ ] ];