NBIBDs from homogeneous groups

These designs are derived from sub-groups of the multiplicative subgroups of doubly homogeneous groups.

NBIBDs with k1 = 9 and k2 = 3
v b r First Initial block Multiplied by
19 19 9 (1,7,11 | 4,9,6 | 16,17,5) 1 mod 19
127 889 63 (1,107,19 | 22,68,37 | 103,99,52) 1, 9, 81,...,73 mod 127
163 1467 81 (1,104,58 | 40,85,38 | 133,140,53) 1, 4, 16,...,10 mod 163
199 2189 99 (1,106,92 | 175,43,180 | 178,162,58) 1, 9, 81,...,130 mod 199
271 4065 135 (1,242,28 | 258,106,178 | 169,248,125) 1, 36, 212,...,233 mod 271
307 5219 153 (1,289,17 | 287,53,274 | 93,168,46) 1, 25, 11,...,122 mod 307
343        
379 7959 189 (1,327,51 | 180,115,84 | 185,234,339) 1, 4, 16,...,45 mod 379
487 13149 243 (1,232,254 | 362,220,392 | 41,259,187) 1, 9, 81,...,419 mod 487
523 15167 261 (1,462,60 | 468,217,361 | 410,94,19) 1, 4, 16,...,117 mod 523
631 22085 315 (1,587,43 | 485,114,32 | 493,393,376) 1, 9, 81,...,124 mod 631
739 30299 369 (1,320,418 | 381,724,373 | 317,197,225) 1, 9, 81,...,535 mod 739
811 36495 405 (1,680,130 | 796,343,483 | 225,532,54) 1, 9, 81,...,539 mod 811
883 43267 441 (1,545,337 | 560,565,641 | 135,286,462) 1, 4, 16,...,140 mod 883
919 46869 459 (1,866,52 | 474,610,754 | 440,574,824) 1, 49, 563,...,291 mod 919
991 54505 495 (1,113,877 | 722,324,936 | 18,52,921) 1, 36, 305,...,956 mod 991
1063 62717 531 (1,343,719 | 7,275,781 | 49,862,152) 1, 9, 81,...,237 mod 1063
1171 76115 585 (1,420,750 | 656,335,180 | 579,783,980) 1, 4, 16,...,164 mod 1171
1279 90809 639 (1,774,504 | 648,184,447 | 392,285,602) 1, 9, 81,...,72 mod 1279
1423 112417 711 (1,779,643 | 1406,987,453 | 289,297,837) 1, 9, 81,...,1263 mod 1423
1459 118179 729 (1,339,1119 | 1187,1168,563 | 1034,366,59) 1, 9, 81,...,294 mod 1459
1531 130135 765 (1,884,646 | 276,555,700 | 1157,80,294) 1, 4, 16,...,69 mod 1531
1567 136329 783 (1,535,1031 | 1228,407,1499 | 530,1490,1114) 1, 9, 81,...,1007 mod 1567
1747 169459 873 (1,371,1375 | 472,412,863 | 915,547,285) 1, 4, 16,...,118 mod 1747
1783 176517 891 (1,1589,193 | 1258,219,306 | 1043,920,1603) 1, 100, 1085,...,1332 mod 1783