| k | N | Source |
| 20 | 130321 | orthogonal array |
| 21 | 253422 | extended orthogonal array (Colbourn) |
| 24 | 279833 | orthogonal array fuse fuse fuse fuse |
| 39 | 306489 | Derive from strength 5 |
| 40 | 383725 | Colbourn-Martirosyan-Trung-Walker |
| 41 | 566944 | Derive from strength 5 |
| 42 | 598699 | Colbourn-Martirosyan-Trung-Walker |
| 48 | 625110 | Colbourn-Martirosyan-Trung-Walker |
| 361 | 631027 | Colbourn-Martirosyan-Trung-Walker |
| 380 | 657019 | Colbourn-Martirosyan-Trung-Walker |
| 399 | 871614 | Colbourn-Martirosyan-Trung-Walker |
| 437 | 898025 | Colbourn-Martirosyan-Trung-Walker |
| 456 | 911021 | Colbourn-Martirosyan-Trung-Walker |
| 475 | 963147 | Colbourn-Martirosyan-Trung-Walker |
| 513 | 976143 | Colbourn-Martirosyan-Trung-Walker |
| 741 | 1041123 | Colbourn-Martirosyan-Trung-Walker |
| 760 | 1118359 | Colbourn-Martirosyan-Trung-Walker |
| 779 | 1418542 | Colbourn-Martirosyan-Trung-Walker |
| 1083 | 1433520 | Power N19^3Tlev |
| 6859 | 1482625 | Colbourn-Martirosyan-Trung-Walker |
| 6878 | 1560601 | Colbourn-Martirosyan-Trung-Walker |
| 7106 | 1564963 | Colbourn-Martirosyan-Trung-Walker |
| 7220 | 1569397 | Colbourn-Martirosyan-Trung-Walker |
| 7239 | 1900956 | Colbourn-Martirosyan-Trung-Walker |
| 7334 | 1907454 | Colbourn-Martirosyan-Trung-Walker |
| 7562 | 1911960 | Colbourn-Martirosyan-Trung-Walker |
| 7581 | 1915004 | Colbourn-Martirosyan-Trung-Walker |
| 7600 | 1941415 | Colbourn-Martirosyan-Trung-Walker |
| 7714 | 1955455 | Colbourn-Martirosyan-Trung-Walker |
| 7942 | 1960081 | Colbourn-Martirosyan-Trung-Walker |
| 8246 | 1966361 | Colbourn-Martirosyan-Trung-Walker |
| 8303 | 1969549 | Colbourn-Martirosyan-Trung-Walker |
| 8398 | 1982545 | Colbourn-Martirosyan-Trung-Walker |
| 8664 | 1989017 | Colbourn-Martirosyan-Trung-Walker |
| 8702 | 2068233 | Colbourn-Martirosyan-Trung-Walker |
| 9025 | 2076503 | Colbourn-Martirosyan-Trung-Walker |
| 9082 | 2090147 | Colbourn-Martirosyan-Trung-Walker |
| 9158 | 2091825 | Colbourn-Martirosyan-Trung-Walker |
| 9386 | 2100335 | Colbourn-Martirosyan-Trung-Walker |
| 9538 | 2100983 | Colbourn-Martirosyan-Trung-Walker |
| 9614 | 2102709 | Colbourn-Martirosyan-Trung-Walker |
| 9747 | 2107935 | Colbourn-Martirosyan-Trung-Walker |
| 9842 | 2173887 | Colbourn-Martirosyan-Trung-Walker |
| 9994 | 2177411 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 2182757 | Colbourn-Martirosyan-Trung-Walker |