| k | N | Source |
| 12 | 14641 | orthogonal array |
| 13 | 27951 | extend by one factor |
| 14 | 28559 | fuse symbols |
| 23 | 29271 | Sherwood-Martirosyan-Colbourn, Walker |
| 24 | 42461 | Colbourn-Martirosyan-Trung-Walker |
| 26 | 64522 | Colbourn-Martirosyan-Trung-Walker |
| 28 | 65130 | Colbourn-Martirosyan-Trung-Walker |
| 121 | 69211 | Colbourn-Martirosyan-Trung-Walker |
| 132 | 71631 | Colbourn-Martirosyan-Trung-Walker |
| 143 | 93561 | Colbourn-Martirosyan-Trung-Walker |
| 154 | 97799 | Colbourn-Martirosyan-Trung-Walker |
| 176 | 101991 | Colbourn-Martirosyan-Trung-Walker |
| 253 | 108041 | Colbourn-Martirosyan-Trung-Walker |
| 264 | 121231 | Colbourn-Martirosyan-Trung-Walker |
| 286 | 144392 | Colbourn-Martirosyan-Trung-Walker |
| 308 | 145000 | Colbourn-Martirosyan-Trung-Walker |
| 550 | 149081 | Colbourn-Martirosyan-Trung-Walker |
| 1331 | 160081 | Colbourn-Martirosyan-Trung-Walker |
| 1342 | 167341 | Colbourn-Martirosyan-Trung-Walker |
| 1430 | 168321 | Colbourn-Martirosyan-Trung-Walker |
| 1452 | 168823 | Colbourn-Martirosyan-Trung-Walker |
| 1474 | 192953 | Colbourn-Martirosyan-Trung-Walker |
| 1496 | 193207 | Colbourn-Martirosyan-Trung-Walker |
| 1562 | 193981 | Colbourn-Martirosyan-Trung-Walker |
| 1573 | 195583 | Colbourn-Martirosyan-Trung-Walker |
| 1606 | 199821 | Colbourn-Martirosyan-Trung-Walker |
| 1694 | 210241 | Colbourn-Martirosyan-Trung-Walker |
| 1738 | 218463 | Colbourn-Martirosyan-Trung-Walker |
| 1859 | 221333 | Colbourn-Martirosyan-Trung-Walker |
| 1936 | 228593 | Colbourn-Martirosyan-Trung-Walker |
| 1958 | 235643 | Colbourn-Martirosyan-Trung-Walker |
| 2002 | 236241 | Colbourn-Martirosyan-Trung-Walker |
| 2057 | 238083 | Colbourn-Martirosyan-Trung-Walker |
| 2134 | 238983 | Colbourn-Martirosyan-Trung-Walker |
| 2178 | 240897 | Colbourn-Martirosyan-Trung-Walker |
| 2266 | 241997 | Colbourn-Martirosyan-Trung-Walker |
| 2299 | 243313 | Colbourn-Martirosyan-Trung-Walker |
| 2354 | 244313 | Colbourn-Martirosyan-Trung-Walker |
| 2398 | 244983 | Colbourn-Martirosyan-Trung-Walker |
| 2420 | 245631 | Colbourn-Martirosyan-Trung-Walker |
| 2541 | 246631 | Colbourn-Martirosyan-Trung-Walker |
| 2662 | 247631 | Colbourn-Martirosyan-Trung-Walker |
| 2783 | 248431 | Colbourn-Martirosyan-Trung-Walker |
| 2904 | 261621 | Colbourn-Martirosyan-Trung-Walker |
| 3146 | 286082 | Colbourn-Martirosyan-Trung-Walker |
| 3388 | 286690 | Colbourn-Martirosyan-Trung-Walker |
| 6050 | 290771 | Colbourn-Martirosyan-Trung-Walker |
| 6600 | 304081 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 312771 | Colbourn-Martirosyan-Trung-Walker |