| k | N | Source |
| 12 | 14641 | orthogonal array |
| 13 | 27830 | extended orthogonal array (Colbourn) |
| 14 | 28277 | orthogonal array fuse fuse postop NCK |
| 23 | 29271 | Sherwood-Martirosyan-Colbourn, Walker |
| 24 | 42461 | Colbourn-Martirosyan-Trung-Walker |
| 26 | 63371 | Colbourn-Martirosyan-Trung-Walker |
| 28 | 63818 | Colbourn-Martirosyan-Trung-Walker |
| 121 | 69211 | Colbourn-Martirosyan-Trung-Walker |
| 132 | 71631 | Colbourn-Martirosyan-Trung-Walker |
| 143 | 92410 | Colbourn-Martirosyan-Trung-Walker |
| 154 | 96487 | Colbourn-Martirosyan-Trung-Walker |
| 176 | 101991 | Colbourn-Martirosyan-Trung-Walker |
| 253 | 108041 | Colbourn-Martirosyan-Trung-Walker |
| 264 | 121231 | Colbourn-Martirosyan-Trung-Walker |
| 286 | 143241 | Colbourn-Martirosyan-Trung-Walker |
| 308 | 143688 | 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 | 191802 | Colbourn-Martirosyan-Trung-Walker |
| 1496 | 192056 | Colbourn-Martirosyan-Trung-Walker |
| 1562 | 192830 | Colbourn-Martirosyan-Trung-Walker |
| 1573 | 194432 | Colbourn-Martirosyan-Trung-Walker |
| 1606 | 198509 | Colbourn-Martirosyan-Trung-Walker |
| 1694 | 202579 | Colbourn-Martirosyan-Trung-Walker |
| 1738 | 208633 | Colbourn-Martirosyan-Trung-Walker |
| 1859 | 211503 | Colbourn-Martirosyan-Trung-Walker |
| 1936 | 218763 | Colbourn-Martirosyan-Trung-Walker |
| 1958 | 224813 | Colbourn-Martirosyan-Trung-Walker |
| 2002 | 225411 | Colbourn-Martirosyan-Trung-Walker |
| 2134 | 227253 | Colbourn-Martirosyan-Trung-Walker |
| 2266 | 229167 | Colbourn-Martirosyan-Trung-Walker |
| 2354 | 230483 | Colbourn-Martirosyan-Trung-Walker |
| 2398 | 231153 | Colbourn-Martirosyan-Trung-Walker |
| 2783 | 231801 | Colbourn-Martirosyan-Trung-Walker |
| 2904 | 244991 | Colbourn-Martirosyan-Trung-Walker |
| 3146 | 267001 | Colbourn-Martirosyan-Trung-Walker |
| 3388 | 267448 | Colbourn-Martirosyan-Trung-Walker |
| 4378 | 272841 | Colbourn-Martirosyan-Trung-Walker |
| 4609 | 275151 | Colbourn-Martirosyan-Trung-Walker |
| 4620 | 287251 | Colbourn-Martirosyan-Trung-Walker |
| 6050 | 290771 | Colbourn-Martirosyan-Trung-Walker |
| 6600 | 304081 | Colbourn-Martirosyan-Trung-Walker |
| 6622 | 312281 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 312771 | Colbourn-Martirosyan-Trung-Walker |