| k | N | Source |
| 10 | 6561 | orthogonal array |
| 11 | 12312 | extended orthogonal array (Colbourn) |
| 21 | 13113 | Walker-Colbourn |
| 39 | 19665 | Walker-Colbourn |
| 81 | 30537 | Colbourn-Martirosyan-Trung-Walker |
| 90 | 33129 | Colbourn-Martirosyan-Trung-Walker |
| 100 | 37074 | Colbourn-Martirosyan-Trung-Walker |
| 108 | 43417 | Colbourn-Martirosyan-Trung-Walker |
| 117 | 44865 | Colbourn-Martirosyan-Trung-Walker |
| 126 | 45513 | Colbourn-Martirosyan-Trung-Walker |
| 135 | 46161 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 46809 | Colbourn-Martirosyan-Trung-Walker |
| 180 | 47457 | Colbourn-Martirosyan-Trung-Walker |
| 189 | 48033 | Colbourn-Martirosyan-Trung-Walker |
| 200 | 54314 | Colbourn-Martirosyan-Trung-Walker |
| 351 | 54585 | Colbourn-Martirosyan-Trung-Walker |
| 390 | 61730 | Colbourn-Martirosyan-Trung-Walker |
| 729 | 70065 | Colbourn-Martirosyan-Trung-Walker |
| 738 | 75328 | Colbourn-Martirosyan-Trung-Walker |
| 747 | 75573 | Colbourn-Martirosyan-Trung-Walker |
| 756 | 75652 | Colbourn-Martirosyan-Trung-Walker |
| 774 | 75655 | Colbourn-Martirosyan-Trung-Walker |
| 801 | 76593 | Colbourn-Martirosyan-Trung-Walker |
| 810 | 76672 | Colbourn-Martirosyan-Trung-Walker |
| 882 | 81778 | Colbourn-Martirosyan-Trung-Walker |
| 900 | 83258 | Colbourn-Martirosyan-Trung-Walker |
| 972 | 89601 | Colbourn-Martirosyan-Trung-Walker |
| 1017 | 91049 | Colbourn-Martirosyan-Trung-Walker |
| 1026 | 96233 | Colbourn-Martirosyan-Trung-Walker |
| 1053 | 97405 | Colbourn-Martirosyan-Trung-Walker |
| 1098 | 98893 | Colbourn-Martirosyan-Trung-Walker |
| 1134 | 99299 | Colbourn-Martirosyan-Trung-Walker |
| 1206 | 101431 | Colbourn-Martirosyan-Trung-Walker |
| 1215 | 101861 | Colbourn-Martirosyan-Trung-Walker |
| 1242 | 103157 | Colbourn-Martirosyan-Trung-Walker |
| 1296 | 104041 | Colbourn-Martirosyan-Trung-Walker |
| 1314 | 105337 | Colbourn-Martirosyan-Trung-Walker |
| 1620 | 105561 | Colbourn-Martirosyan-Trung-Walker |
| 1701 | 106137 | Colbourn-Martirosyan-Trung-Walker |
| 1800 | 112418 | Colbourn-Martirosyan-Trung-Walker |
| 2025 | 112689 | Colbourn-Martirosyan-Trung-Walker |
| 2106 | 115633 | Colbourn-Martirosyan-Trung-Walker |
| 2268 | 115697 | Colbourn-Martirosyan-Trung-Walker |
| 2349 | 115761 | Colbourn-Martirosyan-Trung-Walker |
| 2430 | 115825 | Colbourn-Martirosyan-Trung-Walker |
| 2511 | 116081 | Colbourn-Martirosyan-Trung-Walker |
| 3159 | 116145 | Colbourn-Martirosyan-Trung-Walker |
| 3321 | 123290 | Colbourn-Martirosyan-Trung-Walker |
| 3420 | 124010 | Colbourn-Martirosyan-Trung-Walker |
| 3510 | 124514 | Colbourn-Martirosyan-Trung-Walker |
| 3690 | 132849 | Colbourn-Martirosyan-Trung-Walker |
| 6561 | 136233 | Colbourn-Martirosyan-Trung-Walker |
| 6642 | 144088 | Colbourn-Martirosyan-Trung-Walker |
| 6723 | 144333 | Colbourn-Martirosyan-Trung-Walker |
| 6804 | 144412 | Colbourn-Martirosyan-Trung-Walker |
| 6966 | 144415 | Colbourn-Martirosyan-Trung-Walker |
| 7209 | 145353 | Colbourn-Martirosyan-Trung-Walker |
| 7290 | 145432 | Colbourn-Martirosyan-Trung-Walker |
| 7938 | 151690 | Colbourn-Martirosyan-Trung-Walker |
| 8019 | 153170 | Colbourn-Martirosyan-Trung-Walker |
| 8100 | 153618 | Colbourn-Martirosyan-Trung-Walker |
| 8748 | 160601 | Colbourn-Martirosyan-Trung-Walker |
| 8910 | 162305 | Colbourn-Martirosyan-Trung-Walker |
| 9153 | 162497 | Colbourn-Martirosyan-Trung-Walker |
| 9234 | 169961 | Colbourn-Martirosyan-Trung-Walker |
| 9477 | 171133 | Colbourn-Martirosyan-Trung-Walker |
| 9882 | 173269 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 173675 | Colbourn-Martirosyan-Trung-Walker |