| k | N | Source |
| 9 | 4096 | orthogonal array |
| 10 | 6128 | orthogonal array fuse postop NCK |
| 20 | 8184 | Sherwood-Martirosyan-Colbourn, Walker |
| 36 | 12272 | Sherwood-Martirosyan-Colbourn, Walker |
| 64 | 18943 | Colbourn-Martirosyan-Trung-Walker |
| 72 | 19391 | Colbourn-Martirosyan-Trung-Walker |
| 80 | 22319 | Colbourn-Martirosyan-Trung-Walker |
| 88 | 27511 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 29303 | Colbourn-Martirosyan-Trung-Walker |
| 160 | 29695 | Colbourn-Martirosyan-Trung-Walker |
| 288 | 33783 | Colbourn-Martirosyan-Trung-Walker |
| 320 | 40454 | Colbourn-Martirosyan-Trung-Walker |
| 512 | 43198 | Colbourn-Martirosyan-Trung-Walker |
| 520 | 44542 | Colbourn-Martirosyan-Trung-Walker |
| 568 | 44932 | Colbourn-Martirosyan-Trung-Walker |
| 576 | 45480 | Colbourn-Martirosyan-Trung-Walker |
| 632 | 48800 | Colbourn-Martirosyan-Trung-Walker |
| 640 | 49086 | Colbourn-Martirosyan-Trung-Walker |
| 648 | 54670 | Colbourn-Martirosyan-Trung-Walker |
| 664 | 56462 | Colbourn-Martirosyan-Trung-Walker |
| 704 | 57368 | Colbourn-Martirosyan-Trung-Walker |
| 728 | 59160 | Colbourn-Martirosyan-Trung-Walker |
| 760 | 59384 | Colbourn-Martirosyan-Trung-Walker |
| 792 | 59702 | Colbourn-Martirosyan-Trung-Walker |
| 824 | 60028 | Colbourn-Martirosyan-Trung-Walker |
| 920 | 61054 | Colbourn-Martirosyan-Trung-Walker |
| 968 | 61286 | Colbourn-Martirosyan-Trung-Walker |
| 1152 | 61734 | Colbourn-Martirosyan-Trung-Walker |
| 1280 | 62126 | Colbourn-Martirosyan-Trung-Walker |
| 1552 | 66214 | Colbourn-Martirosyan-Trung-Walker |
| 1864 | 68398 | Colbourn-Martirosyan-Trung-Walker |
| 1936 | 68902 | Colbourn-Martirosyan-Trung-Walker |
| 2056 | 69742 | Colbourn-Martirosyan-Trung-Walker |
| 2256 | 71086 | Colbourn-Martirosyan-Trung-Walker |
| 2304 | 71478 | Colbourn-Martirosyan-Trung-Walker |
| 2560 | 78149 | Colbourn-Martirosyan-Trung-Walker |
| 2880 | 81733 | Colbourn-Martirosyan-Trung-Walker |
| 3200 | 82517 | Colbourn-Martirosyan-Trung-Walker |
| 4096 | 83637 | Colbourn-Martirosyan-Trung-Walker |
| 4160 | 86325 | Colbourn-Martirosyan-Trung-Walker |
| 4544 | 86715 | Colbourn-Martirosyan-Trung-Walker |
| 4608 | 87263 | Colbourn-Martirosyan-Trung-Walker |
| 5056 | 90975 | Colbourn-Martirosyan-Trung-Walker |
| 5120 | 91261 | Colbourn-Martirosyan-Trung-Walker |
| 5184 | 97580 | Colbourn-Martirosyan-Trung-Walker |
| 6860 | 98196 | Power N19^3+1 |
| 7040 | 106813 | Colbourn-Martirosyan-Trung-Walker |
| 7360 | 107009 | Colbourn-Martirosyan-Trung-Walker |
| 7424 | 107241 | Colbourn-Martirosyan-Trung-Walker |
| 7744 | 107339 | Colbourn-Martirosyan-Trung-Walker |
| 8000 | 108032 | Colbourn-Martirosyan-Trung-Walker |
| 8448 | 108130 | Colbourn-Martirosyan-Trung-Walker |
| 9152 | 108375 | Colbourn-Martirosyan-Trung-Walker |
| 9216 | 108620 | Colbourn-Martirosyan-Trung-Walker |
| 9664 | 109012 | Colbourn-Martirosyan-Trung-Walker |
| 9920 | 109110 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 109208 | Colbourn-Martirosyan-Trung-Walker |