| k | N | Source |
| 5 | 484 | orthogonal array |
| 24 | 526 | orthogonal array fuse |
| 25 | 528 | projection (Colbourn) |
| 26 | 610 | orthogonal array fuse fuse fuse postop NCK |
| 27 | 614 | projection (Colbourn) fuse fuse postop NCK |
| 28 | 617 | projection (Colbourn) fuse postop NCK |
| 29 | 620 | projection (Colbourn) postop NCK |
| 30 | 700 | projection (Colbourn) fuse fuse fuse postop NCK |
| 31 | 702 | projection (Colbourn) fuse fuse postop NCK |
| 32 | 703 | projection (Colbourn) fuse postop NCK |
| 33 | 704 | projection (Colbourn) postop NCK |
| 34 | 785 | projection (Colbourn) fuse fuse fuse postop NCK |
| 35 | 786 | projection (Colbourn) fuse fuse postop NCK |
| 36 | 787 | projection (Colbourn) fuse postop NCK |
| 37 | 788 | projection (Colbourn) postop NCK |
| 40 | 872 | projection (Colbourn) fuse postop NCK |
| 41 | 873 | projection (Colbourn) postop NCK |
| 42 | 937 | projection (Colbourn) postop NCK fuse |
| 45 | 946 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 46 | 967 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 120 | 988 | CMMSSY 2.2 |
| 125 | 990 | CMMSSY 2.2 |
| 575 | 1030 | CMMSSY 2.2 |
| 600 | 1032 | CMMSSY 2.2 |
| 625 | 1034 | CMMSSY 2.2 |
| 650 | 1116 | CMMSSY 2.2 |
| 675 | 1120 | CMMSSY 2.2 |
| 700 | 1123 | CMMSSY 2.2 |
| 725 | 1126 | CMMSSY 2.2 |
| 750 | 1206 | CMMSSY 2.2 |
| 775 | 1208 | CMMSSY 2.2 |
| 800 | 1209 | CMMSSY 2.2 |
| 825 | 1210 | CMMSSY 2.2 |
| 841 | 1220 | CMMSSY 2.2 |
| 850 | 1291 | CMMSSY 2.2 |
| 875 | 1292 | CMMSSY 2.2 |
| 900 | 1293 | CMMSSY 2.2 |
| 925 | 1294 | CMMSSY 2.2 |
| 928 | 1303 | CMMSSY 2.2 |
| 957 | 1304 | CMMSSY 2.2 |
| 1000 | 1378 | CMMSSY 2.2 |
| 1025 | 1379 | CMMSSY 2.2 |
| 1044 | 1387 | CMMSSY 2.2 |
| 1073 | 1388 | CMMSSY 2.2 |
| 1089 | 1406 | CMMSSY 2.2 |
| 1125 | 1452 | CMMSSY 2.2 |
| 1160 | 1472 | CMMSSY 2.2 |
| 1189 | 1473 | CMMSSY 2.2 |
| 1221 | 1490 | CMMSSY 2.2 |
| 2875 | 1492 | CMMSSY 2.2 |
| 3000 | 1494 | CMMSSY 2.2 |
| 3125 | 1496 | CMMSSY 2.2 |
| 13754 | 1534 | CMMSSY 2.2 |
| 14400 | 1536 | CMMSSY 2.2 |
| 15000 | 1538 | CMMSSY 2.2 |
| 15625 | 1540 | CMMSSY 2.2 |
| 16250 | 1622 | CMMSSY 2.2 |
| 16875 | 1626 | CMMSSY 2.2 |
| 17500 | 1629 | CMMSSY 2.2 |
| 18125 | 1632 | CMMSSY 2.2 |
| 18200 | 1711 | CMMSSY 2.2 |
| 18750 | 1712 | CMMSSY 2.2 |
| 19200 | 1713 | CMMSSY 2.2 |
| 19800 | 1714 | CMMSSY 2.2 |
| 20000 | 1715 | CMMSSY 2.2 |