| k | N | Source |
| 9 | 576 | orthogonal array |
| 26 | 622 | orthogonal array fuse |
| 27 | 624 | projection (Colbourn) |
| 28 | 715 | projection (Colbourn) fuse fuse fuse postop NCK |
| 29 | 718 | projection (Colbourn) fuse fuse postop NCK |
| 30 | 722 | projection (Colbourn) fuse postop NCK |
| 31 | 724 | projection (Colbourn) postop NCK |
| 32 | 814 | projection (Colbourn) fuse fuse fuse postop NCK |
| 33 | 817 | projection (Colbourn) fuse fuse postop NCK |
| 34 | 819 | projection (Colbourn) fuse postop NCK |
| 35 | 823 | projection (Colbourn) postop NCK |
| 36 | 911 | projection (Colbourn) fuse fuse fuse postop NCK |
| 37 | 913 | projection (Colbourn) fuse fuse postop NCK |
| 38 | 917 | projection (Colbourn) fuse postop NCK |
| 39 | 920 | projection (Colbourn) postop NCK |
| 41 | 957 | projection (Colbourn) postop NCK |
| 80 | 1128 | CMMSSY 2.3 |
| 81 | 1151 | CMMSSY 2.2 |
| 233 | 1174 | CMMSSY 2.3 |
| 243 | 1176 | CMMSSY 2.2 |
| 675 | 1220 | CMMSSY 2.2 |
| 702 | 1222 | CMMSSY 2.2 |
| 729 | 1224 | CMMSSY 2.2 |
| 756 | 1315 | CMMSSY 2.2 |
| 783 | 1318 | CMMSSY 2.2 |
| 810 | 1322 | CMMSSY 2.2 |
| 837 | 1324 | CMMSSY 2.2 |
| 864 | 1414 | CMMSSY 2.2 |
| 891 | 1417 | CMMSSY 2.2 |
| 918 | 1419 | CMMSSY 2.2 |
| 945 | 1423 | CMMSSY 2.2 |
| 961 | 1426 | CMMSSY 2.2 |
| 972 | 1511 | CMMSSY 2.2 |
| 999 | 1513 | CMMSSY 2.2 |
| 1026 | 1517 | CMMSSY 2.2 |
| 1053 | 1520 | CMMSSY 2.2 |
| 1054 | 1521 | CMMSSY 2.2 |
| 1085 | 1525 | CMMSSY 2.2 |
| 1107 | 1557 | CMMSSY 2.2 |
| 1116 | 1613 | CMMSSY 2.2 |
| 1147 | 1615 | CMMSSY 2.2 |
| 1178 | 1619 | CMMSSY 2.2 |
| 1209 | 1622 | CMMSSY 2.2 |
| 1225 | 1635 | CMMSSY 2.2 |
| 1271 | 1659 | CMMSSY 2.2 |
| 1295 | 1725 | CMMSSY 2.2 |
| 2072 | 1726 | CMMSSY 2.3 |
| 2187 | 1728 | CMMSSY 2.3 |
| 6033 | 1772 | CMMSSY 2.2 |
| 6318 | 1774 | CMMSSY 2.2 |
| 6561 | 1776 | CMMSSY 2.2 |
| 17500 | 1818 | CMMSSY 2.2 |
| 18252 | 1820 | CMMSSY 2.2 |
| 18954 | 1822 | CMMSSY 2.2 |
| 19683 | 1824 | CMMSSY 2.2 |
| 20000 | 1915 | CMMSSY 2.2 |