| k | N | Source |
| 5 | 324 | orthogonal array |
| 20 | 358 | orthogonal array fuse |
| 21 | 360 | projection (Colbourn) |
| 23 | 484 | orthogonal array fuse fuse fuse fuse fuse postop NCK |
| 24 | 487 | orthogonal array fuse fuse fuse fuse fuse postop NCK |
| 25 | 492 | projection (Colbourn) fuse fuse fuse fuse postop NCK |
| 26 | 494 | projection (Colbourn) fuse fuse fuse postop NCK |
| 27 | 496 | projection (Colbourn) fuse fuse postop NCK |
| 28 | 498 | projection (Colbourn) fuse postop NCK |
| 29 | 500 | projection (Colbourn) postop NCK |
| 30 | 558 | projection (Colbourn) fuse fuse fuse postop NCK |
| 33 | 561 | projection (Colbourn) postop NCK |
| 34 | 579 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 35 | 596 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 36 | 613 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 37 | 630 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 38 | 647 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 100 | 664 | CMMSSY 2.2 |
| 105 | 666 | CMMSSY 2.2 |
| 399 | 698 | CMMSSY 2.2 |
| 420 | 700 | CMMSSY 2.2 |
| 441 | 702 | CMMSSY 2.2 |
| 483 | 826 | CMMSSY 2.2 |
| 504 | 829 | CMMSSY 2.2 |
| 525 | 834 | CMMSSY 2.2 |
| 546 | 836 | CMMSSY 2.2 |
| 567 | 838 | CMMSSY 2.2 |
| 588 | 840 | CMMSSY 2.2 |
| 609 | 842 | CMMSSY 2.2 |
| 630 | 900 | CMMSSY 2.2 |
| 693 | 903 | CMMSSY 2.2 |
| 714 | 921 | CMMSSY 2.2 |
| 735 | 938 | CMMSSY 2.2 |
| 756 | 955 | CMMSSY 2.2 |
| 777 | 972 | CMMSSY 2.2 |
| 798 | 989 | CMMSSY 2.2 |
| 812 | 997 | CMMSSY 2.2 |
| 841 | 999 | CMMSSY 2.2 |
| 1995 | 1004 | CMMSSY 2.2 |
| 2100 | 1006 | CMMSSY 2.2 |
| 2205 | 1008 | CMMSSY 2.2 |
| 7942 | 1038 | CMMSSY 2.2 |
| 8400 | 1040 | CMMSSY 2.2 |
| 8820 | 1042 | CMMSSY 2.2 |
| 9261 | 1044 | CMMSSY 2.2 |
| 9660 | 1166 | CMMSSY 2.2 |
| 10143 | 1168 | CMMSSY 2.2 |
| 10584 | 1171 | CMMSSY 2.2 |
| 11025 | 1176 | CMMSSY 2.2 |
| 11466 | 1178 | CMMSSY 2.2 |
| 11907 | 1180 | CMMSSY 2.2 |
| 12348 | 1182 | CMMSSY 2.2 |
| 12789 | 1184 | CMMSSY 2.2 |
| 13230 | 1242 | CMMSSY 2.2 |
| 13860 | 1243 | CMMSSY 2.2 |
| 14553 | 1245 | CMMSSY 2.2 |
| 14994 | 1263 | CMMSSY 2.2 |
| 15435 | 1280 | CMMSSY 2.2 |
| 15876 | 1297 | CMMSSY 2.2 |
| 16317 | 1314 | CMMSSY 2.2 |
| 16464 | 1320 | CMMSSY 2.2 |
| 17052 | 1322 | CMMSSY 2.2 |
| 17661 | 1324 | CMMSSY 2.2 |
| 20000 | 1344 | CMMSSY 2.2 |