| k | N | Source |
| 26 | 625 | orthogonal array |
| 27 | 722 | orthogonal array fuse fuse postop NCK |
| 28 | 723 | orthogonal array fuse fuse postop NCK |
| 29 | 725 | projection (Colbourn) fuse postop NCK |
| 30 | 727 | projection (Colbourn) |
| 31 | 821 | projection (Colbourn) fuse fuse fuse postop NCK |
| 32 | 826 | projection (Colbourn) fuse fuse postop NCK |
| 33 | 827 | projection (Colbourn) fuse postop NCK |
| 34 | 832 | projection (Colbourn) postop NCK |
| 35 | 920 | projection (Colbourn) fuse fuse fuse postop NCK |
| 36 | 923 | projection (Colbourn) fuse fuse postop NCK |
| 37 | 926 | projection (Colbourn) fuse postop NCK |
| 38 | 930 | projection (Colbourn) postop NCK |
| 39 | 976 | projection (Colbourn) fuse postop NCK |
| 40 | 977 | projection (Colbourn) postop NCK |
| 41 | 1188 | projection (Colbourn) postop NCK |
| 50 | 1218 | projection (Colbourn) postop NCK |
| 675 | 1225 | CMMSSY 2.3 |
| 676 | 1249 | CMMSSY 2.3 |
| 677 | 1322 | CMMSSY 2.3 |
| 702 | 1323 | CMMSSY 2.3 |
| 727 | 1324 | CMMSSY 2.3 |
| 754 | 1326 | CMMSSY 2.3 |
| 780 | 1327 | CMMSSY 2.2 |
| 783 | 1423 | CMMSSY 2.2 |
| 812 | 1424 | CMMSSY 2.2 |
| 840 | 1425 | CMMSSY 2.2 |
| 841 | 1426 | CMMSSY 2.2 |
| 870 | 1427 | CMMSSY 2.2 |
| 900 | 1429 | CMMSSY 2.2 |
| 930 | 1523 | CMMSSY 2.2 |
| 960 | 1528 | CMMSSY 2.2 |
| 990 | 1529 | CMMSSY 2.2 |
| 1020 | 1534 | CMMSSY 2.2 |
| 1040 | 1601 | CMMSSY 2.3 |
| 1050 | 1622 | CMMSSY 2.2 |
| 1080 | 1625 | CMMSSY 2.2 |
| 1110 | 1628 | CMMSSY 2.2 |
| 1140 | 1632 | CMMSSY 2.2 |
| 1156 | 1644 | CMMSSY 2.2 |
| 1170 | 1678 | CMMSSY 2.2 |
| 1200 | 1679 | CMMSSY 2.2 |
| 1224 | 1735 | CMMSSY 2.2 |
| 1258 | 1738 | CMMSSY 2.2 |
| 1292 | 1742 | CMMSSY 2.2 |
| 1326 | 1788 | CMMSSY 2.2 |
| 1360 | 1789 | CMMSSY 2.2 |
| 17525 | 1825 | CMMSSY 2.3 |
| 17550 | 1849 | CMMSSY 2.3 |
| 17576 | 1873 | CMMSSY 2.2 |
| 17600 | 1922 | CMMSSY 2.3 |
| 18250 | 1923 | CMMSSY 2.3 |
| 18875 | 1924 | CMMSSY 2.3 |
| 18900 | 1925 | CMMSSY 2.2 |
| 19575 | 1926 | CMMSSY 2.3 |
| 20000 | 1927 | CMMSSY 2.2 |