| k | N | Source |
| 6 | 225 | orthogonal array |
| 17 | 253 | orthogonal array fuse |
| 18 | 255 | projection (Colbourn) |
| 19 | 283 | projection (Colbourn) fuse postop NCK |
| 20 | 286 | projection (Colbourn) postop NCK |
| 21 | 333 | projection (Colbourn) fuse fuse fuse postop NCK |
| 22 | 335 | projection (Colbourn) fuse fuse postop NCK |
| 23 | 336 | projection (Colbourn) fuse postop NCK |
| 24 | 337 | projection (Colbourn) postop NCK |
| 26 | 365 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 27 | 379 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 28 | 393 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 29 | 407 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 30 | 421 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 36 | 435 | CMMSSY 2.2 |
| 102 | 463 | CMMSSY 2.2 |
| 108 | 465 | CMMSSY 2.2 |
| 288 | 491 | CMMSSY 2.2 |
| 306 | 493 | CMMSSY 2.2 |
| 324 | 495 | CMMSSY 2.2 |
| 342 | 523 | CMMSSY 2.2 |
| 360 | 526 | CMMSSY 2.2 |
| 380 | 555 | CMMSSY 2.2 |
| 400 | 558 | CMMSSY 2.2 |
| 414 | 576 | CMMSSY 2.2 |
| 432 | 577 | CMMSSY 2.2 |
| 441 | 603 | CMMSSY 2.2 |
| 468 | 605 | CMMSSY 2.2 |
| 480 | 609 | CMMSSY 2.2 |
| 486 | 619 | CMMSSY 2.2 |
| 504 | 633 | CMMSSY 2.2 |
| 520 | 637 | CMMSSY 2.2 |
| 522 | 647 | CMMSSY 2.2 |
| 540 | 651 | CMMSSY 2.2 |
| 542 | 664 | CMMSSY 2.2 |
| 560 | 665 | CMMSSY 2.2 |
| 612 | 673 | CMMSSY 2.2 |
| 648 | 675 | CMMSSY 2.2 |
| 1728 | 701 | CMMSSY 2.2 |
| 1836 | 703 | CMMSSY 2.2 |
| 1944 | 705 | CMMSSY 2.2 |
| 4864 | 729 | CMMSSY 2.2 |
| 5202 | 731 | CMMSSY 2.2 |
| 5508 | 733 | CMMSSY 2.2 |
| 5832 | 735 | CMMSSY 2.2 |
| 6156 | 763 | CMMSSY 2.2 |
| 6480 | 766 | CMMSSY 2.2 |
| 6498 | 791 | CMMSSY 2.2 |
| 6840 | 794 | CMMSSY 2.2 |
| 7200 | 797 | CMMSSY 2.2 |
| 7344 | 815 | CMMSSY 2.2 |
| 7452 | 816 | CMMSSY 2.2 |
| 7776 | 817 | CMMSSY 2.2 |
| 8000 | 829 | CMMSSY 2.2 |
| 8424 | 845 | CMMSSY 2.2 |
| 8640 | 848 | CMMSSY 2.2 |
| 8748 | 859 | CMMSSY 2.2 |
| 9072 | 873 | CMMSSY 2.2 |
| 9360 | 876 | CMMSSY 2.2 |
| 9600 | 880 | CMMSSY 2.2 |
| 9720 | 890 | CMMSSY 2.2 |
| 9936 | 898 | CMMSSY 2.2 |
| 10368 | 899 | CMMSSY 2.2 |
| 10400 | 908 | CMMSSY 2.2 |
| 11016 | 913 | CMMSSY 2.2 |
| 11664 | 915 | CMMSSY 2.2 |
| 20000 | 939 | CMMSSY 2.2 |