| k | N | Source |
| 18 | 289 | orthogonal array |
| 19 | 353 | orthogonal array fuse fuse postop NCK |
| 20 | 354 | orthogonal array fuse fuse postop NCK |
| 21 | 356 | projection (Colbourn) fuse postop NCK |
| 22 | 358 | projection (Colbourn) postop NCK |
| 23 | 467 | orthogonal array fuse fuse fuse fuse fuse fuse postop NCK |
| 24 | 469 | orthogonal array fuse fuse fuse fuse fuse fuse postop NCK |
| 25 | 472 | projection (Colbourn) fuse fuse fuse fuse fuse postop NCK |
| 26 | 475 | projection (Colbourn) fuse fuse fuse fuse postop NCK |
| 27 | 477 | projection (Colbourn) fuse fuse fuse postop NCK |
| 28 | 479 | projection (Colbourn) fuse fuse postop NCK |
| 29 | 480 | projection (Colbourn) fuse postop NCK |
| 30 | 481 | projection (Colbourn) postop NCK |
| 31 | 497 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 32 | 513 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 33 | 529 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 34 | 541 | projection (Colbourn) postop NCK |
| 323 | 561 | CMMSSY 2.3 |
| 324 | 577 | CMMSSY 2.3 |
| 325 | 625 | CMMSSY 2.3 |
| 342 | 626 | CMMSSY 2.3 |
| 359 | 628 | CMMSSY 2.3 |
| 376 | 630 | CMMSSY 2.3 |
| 396 | 631 | CMMSSY 2.2 |
| 418 | 695 | CMMSSY 2.2 |
| 440 | 696 | CMMSSY 2.2 |
| 462 | 698 | CMMSSY 2.2 |
| 484 | 700 | CMMSSY 2.2 |
| 495 | 752 | CMMSSY 2.3 |
| 512 | 753 | CMMSSY 2.3 |
| 522 | 768 | CMMSSY 2.3 |
| 557 | 769 | CMMSSY 2.3 |
| 575 | 785 | CMMSSY 2.3 |
| 593 | 801 | CMMSSY 2.3 |
| 611 | 817 | CMMSSY 2.3 |
| 616 | 821 | CMMSSY 2.2 |
| 638 | 822 | CMMSSY 2.2 |
| 660 | 823 | CMMSSY 2.2 |
| 5797 | 833 | CMMSSY 2.3 |
| 5814 | 849 | CMMSSY 2.3 |
| 5832 | 865 | CMMSSY 2.2 |
| 5848 | 897 | CMMSSY 2.3 |
| 6154 | 898 | CMMSSY 2.3 |
| 6460 | 900 | CMMSSY 2.3 |
| 6766 | 902 | CMMSSY 2.3 |
| 7128 | 903 | CMMSSY 2.3 |
| 7144 | 965 | CMMSSY 2.2 |
| 7524 | 967 | CMMSSY 2.3 |
| 7920 | 968 | CMMSSY 2.3 |
| 8316 | 970 | CMMSSY 2.3 |
| 8712 | 972 | CMMSSY 2.3 |
| 8908 | 1024 | CMMSSY 2.3 |
| 9214 | 1025 | CMMSSY 2.3 |
| 9240 | 1035 | CMMSSY 2.2 |
| 9702 | 1037 | CMMSSY 2.2 |
| 10164 | 1039 | CMMSSY 2.2 |
| 10648 | 1041 | CMMSSY 2.2 |
| 10965 | 1089 | CMMSSY 2.3 |
| 11088 | 1093 | CMMSSY 2.3 |
| 11484 | 1094 | CMMSSY 2.3 |
| 11880 | 1095 | CMMSSY 2.3 |
| 20000 | 1105 | CMMSSY 2.2 |