| k | N | Source |
| 20 | 361 | orthogonal array |
| 24 | 503 | orthogonal array fuse fuse fuse fuse postop NCK |
| 25 | 508 | projection (Colbourn) fuse fuse fuse postop NCK |
| 26 | 510 | projection (Colbourn) fuse fuse postop NCK |
| 27 | 512 | projection (Colbourn) fuse postop NCK |
| 28 | 515 | projection (Colbourn) postop NCK |
| 29 | 576 | projection (Colbourn) fuse fuse fuse postop NCK |
| 30 | 583 | projection (Colbourn) fuse fuse postop NCK |
| 31 | 586 | projection (Colbourn) fuse postop NCK |
| 32 | 589 | projection (Colbourn) postop NCK |
| 33 | 644 | projection (Colbourn) fuse fuse fuse postop NCK |
| 34 | 646 | projection (Colbourn) fuse fuse postop NCK |
| 35 | 647 | projection (Colbourn) fuse postop NCK |
| 36 | 649 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 37 | 667 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 38 | 685 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 399 | 703 | CMMSSY 2.3 |
| 400 | 721 | CMMSSY 2.3 |
| 458 | 845 | CMMSSY 2.3 |
| 477 | 850 | CMMSSY 2.3 |
| 496 | 852 | CMMSSY 2.3 |
| 515 | 854 | CMMSSY 2.3 |
| 534 | 857 | CMMSSY 2.3 |
| 560 | 867 | CMMSSY 2.2 |
| 572 | 925 | CMMSSY 2.3 |
| 591 | 928 | CMMSSY 2.3 |
| 610 | 931 | CMMSSY 2.3 |
| 620 | 946 | CMMSSY 2.3 |
| 640 | 949 | CMMSSY 2.3 |
| 648 | 988 | CMMSSY 2.3 |
| 667 | 989 | CMMSSY 2.3 |
| 719 | 991 | CMMSSY 2.3 |
| 739 | 1009 | CMMSSY 2.3 |
| 756 | 1018 | CMMSSY 2.2 |
| 784 | 1021 | CMMSSY 2.2 |
| 7961 | 1045 | CMMSSY 2.3 |
| 7980 | 1063 | CMMSSY 2.3 |
| 8000 | 1081 | CMMSSY 2.2 |
| 9158 | 1187 | CMMSSY 2.3 |
| 9538 | 1192 | CMMSSY 2.3 |
| 9918 | 1194 | CMMSSY 2.3 |
| 10298 | 1196 | CMMSSY 2.3 |
| 10678 | 1199 | CMMSSY 2.3 |
| 11200 | 1209 | CMMSSY 2.3 |
| 11438 | 1267 | CMMSSY 2.3 |
| 11818 | 1270 | CMMSSY 2.3 |
| 12198 | 1273 | CMMSSY 2.3 |
| 12369 | 1288 | CMMSSY 2.3 |
| 12768 | 1291 | CMMSSY 2.3 |
| 12800 | 1309 | CMMSSY 2.2 |
| 12958 | 1330 | CMMSSY 2.3 |
| 13338 | 1331 | CMMSSY 2.3 |
| 14345 | 1333 | CMMSSY 2.3 |
| 14368 | 1350 | CMMSSY 2.2 |
| 14744 | 1351 | CMMSSY 2.3 |
| 14900 | 1353 | CMMSSY 2.2 |
| 15120 | 1360 | CMMSSY 2.3 |
| 15680 | 1363 | CMMSSY 2.3 |
| 20000 | 1387 | CMMSSY 2.2 |