| k | N | Source |
| 12 | 161051 | orthogonal array |
| 13 | 306130 | extended OA (Colbourn) |
| 14 | 371289 | orthogonal array fuse fuse |
| 24 | 416603 | Martirosyan-Tran van Trung |
| 25 | 696113 | Add a factor |
| 26 | 725142 | Martirosyan-Tran van Trung |
| 28 | 795673 | Martirosyan-Tran van Trung |
| 30 | 853633 | Martirosyan-Tran van Trung |
| 32 | 854535 | Martirosyan-Tran van Trung |
| 34 | 863555 | Martirosyan-Tran van Trung |
| 36 | 871673 | Martirosyan-Tran van Trung |
| 38 | 881595 | Martirosyan-Tran van Trung |
| 40 | 890615 | Martirosyan-Tran van Trung |
| 42 | 899635 | Martirosyan-Tran van Trung |
| 44 | 905949 | Martirosyan-Tran van Trung |
| 46 | 915871 | Martirosyan-Tran van Trung |
| 48 | 1047771 | Martirosyan-Tran van Trung |
| 49 | 1339381 | Add a factor |
| 50 | 1538185 | Martirosyan-Tran van Trung |
| 52 | 1567214 | Martirosyan-Tran van Trung |
| 56 | 1642215 | Martirosyan-Tran van Trung |
| 60 | 1754105 | Martirosyan-Tran van Trung |
| 64 | 1755007 | Martirosyan-Tran van Trung |
| 68 | 1764027 | Martirosyan-Tran van Trung |
| 121 | 1771451 | perfect hash family11,121,11,c |
| 122 | 1771550 | Power 11^2+1 |
| 123 | 2184160 | Add a factor |
| 124 | 2596770 | Add a factor |
| 128 | 2655479 | Martirosyan-Tran van Trung |
| 136 | 2664499 | Martirosyan-Tran van Trung |
| 242 | 2671923 | Martirosyan-Tran van Trung |
| 244 | 2696222 | Martirosyan-Tran van Trung |
| 246 | 3108832 | Martirosyan-Tran van Trung |
| 248 | 3521442 | Martirosyan-Tran van Trung |
| 256 | 3580151 | Martirosyan-Tran van Trung |
| 264 | 3589171 | Martirosyan-Tran van Trung |
| 272 | 3796961 | Martirosyan-Tran van Trung |
| 286 | 3804385 | Martirosyan-Tran van Trung |
| 288 | 3854175 | Martirosyan-Tran van Trung |
| 290 | 3876725 | Martirosyan-Tran van Trung |
| 308 | 3877627 | Martirosyan-Tran van Trung |
| 312 | 3932667 | Martirosyan-Tran van Trung |
| 334 | 3935373 | Martirosyan-Tran van Trung |
| 352 | 3936275 | Martirosyan-Tran van Trung |
| 382 | 3996775 | Martirosyan-Tran van Trung |
| 384 | 4002187 | Martirosyan-Tran van Trung |
| 406 | 4005795 | Martirosyan-Tran van Trung |
| 430 | 4014815 | Martirosyan-Tran van Trung |
| 432 | 4022933 | Martirosyan-Tran van Trung |
| 454 | 4023835 | Martirosyan-Tran van Trung |
| 484 | 4032855 | Martirosyan-Tran van Trung |
| 488 | 4057154 | Martirosyan-Tran van Trung |
| 530 | 4166020 | Power N23^2+1 |
| 531 | 4844830 | Add a factor |
| 542 | 5518913 | Martirosyan-Tran van Trung |
| 544 | 5524325 | Martirosyan-Tran van Trung |
| 572 | 5535357 | Martirosyan-Tran van Trung |
| 576 | 5589617 | Martirosyan-Tran van Trung |
| 580 | 5620285 | Martirosyan-Tran van Trung |
| 616 | 5622089 | Martirosyan-Tran van Trung |
| 624 | 5731059 | Martirosyan-Tran van Trung |
| 668 | 5733765 | Martirosyan-Tran van Trung |
| 704 | 5734667 | Martirosyan-Tran van Trung |
| 764 | 5795167 | Martirosyan-Tran van Trung |
| 768 | 5800579 | Martirosyan-Tran van Trung |
| 812 | 5804187 | Martirosyan-Tran van Trung |
| 860 | 5813207 | Martirosyan-Tran van Trung |
| 864 | 5821325 | Martirosyan-Tran van Trung |
| 908 | 5822227 | Martirosyan-Tran van Trung |
| 968 | 5831247 | Martirosyan-Tran van Trung |
| 976 | 5855546 | Martirosyan-Tran van Trung |
| 1060 | 5964412 | Martirosyan-Tran van Trung |
| 1062 | 6643222 | Martirosyan-Tran van Trung |
| 1084 | 7317305 | Martirosyan-Tran van Trung |
| 1088 | 7322717 | Martirosyan-Tran van Trung |
| 1100 | 7333749 | Martirosyan-Tran van Trung |
| 1144 | 7443749 | Martirosyan-Tran van Trung |
| 1152 | 7498009 | Martirosyan-Tran van Trung |
| 1160 | 7528677 | Martirosyan-Tran van Trung |
| 1232 | 7530481 | Martirosyan-Tran van Trung |
| 1248 | 7639451 | Martirosyan-Tran van Trung |
| 1336 | 7642157 | Martirosyan-Tran van Trung |
| 1408 | 7643059 | Martirosyan-Tran van Trung |
| 1528 | 7703559 | Martirosyan-Tran van Trung |
| 1536 | 7708971 | Martirosyan-Tran van Trung |
| 1624 | 7712579 | Martirosyan-Tran van Trung |
| 1720 | 7721599 | Martirosyan-Tran van Trung |
| 1728 | 7729717 | Martirosyan-Tran van Trung |
| 1816 | 7730619 | Martirosyan-Tran van Trung |
| 1936 | 7739639 | Martirosyan-Tran van Trung |
| 1952 | 7763938 | Martirosyan-Tran van Trung |
| 2120 | 7872804 | Martirosyan-Tran van Trung |
| 3312 | 8237538 | Power 23^3T11T11 |
| 3588 | 8382617 | Power 23^3T11T10 |
| 3864 | 8447776 | Power 23^3T11T9 |
| 6348 | 8493090 | Power 23^3T11 |
| 6877 | 8638169 | Power 23^3T10 |
| 7406 | 8703328 | Power 23^3T9 |
| 10000 | 8748642 | Power 23^3 |