| k | N | Source |
| 10 | 6561 | orthogonal array |
| 11 | 12393 | extend by one factor |
| 21 | 13113 | Sherwood-Martirosyan-Colbourn, Walker |
| 39 | 19665 | Sherwood-Martirosyan-Colbourn, Walker |
| 81 | 30617 | Colbourn-Martirosyan-Trung-Walker |
| 90 | 31913 | Colbourn-Martirosyan-Trung-Walker |
| 99 | 42529 | Colbourn-Martirosyan-Trung-Walker |
| 108 | 44545 | Colbourn-Martirosyan-Trung-Walker |
| 117 | 44945 | Colbourn-Martirosyan-Trung-Walker |
| 180 | 47537 | Colbourn-Martirosyan-Trung-Walker |
| 189 | 48113 | Colbourn-Martirosyan-Trung-Walker |
| 351 | 54665 | Colbourn-Martirosyan-Trung-Walker |
| 369 | 65617 | Colbourn-Martirosyan-Trung-Walker |
| 729 | 70225 | Colbourn-Martirosyan-Trung-Walker |
| 738 | 74113 | Colbourn-Martirosyan-Trung-Walker |
| 774 | 74439 | Colbourn-Martirosyan-Trung-Walker |
| 810 | 75465 | Colbourn-Martirosyan-Trung-Walker |
| 882 | 87233 | Colbourn-Martirosyan-Trung-Walker |
| 891 | 88713 | Colbourn-Martirosyan-Trung-Walker |
| 972 | 90729 | Colbourn-Martirosyan-Trung-Walker |
| 1017 | 91129 | Colbourn-Martirosyan-Trung-Walker |
| 1026 | 96697 | Colbourn-Martirosyan-Trung-Walker |
| 1053 | 97485 | Colbourn-Martirosyan-Trung-Walker |
| 1089 | 100269 | Colbourn-Martirosyan-Trung-Walker |
| 1098 | 102861 | Colbourn-Martirosyan-Trung-Walker |
| 1134 | 103267 | Colbourn-Martirosyan-Trung-Walker |
| 1206 | 104103 | Colbourn-Martirosyan-Trung-Walker |
| 1242 | 104533 | Colbourn-Martirosyan-Trung-Walker |
| 1314 | 105417 | Colbourn-Martirosyan-Trung-Walker |
| 1620 | 105721 | Colbourn-Martirosyan-Trung-Walker |
| 1701 | 106297 | Colbourn-Martirosyan-Trung-Walker |
| 2025 | 112849 | Colbourn-Martirosyan-Trung-Walker |
| 3159 | 116305 | Colbourn-Martirosyan-Trung-Walker |
| 3321 | 127257 | Colbourn-Martirosyan-Trung-Walker |
| 3690 | 133089 | Colbourn-Martirosyan-Trung-Walker |
| 6561 | 136473 | Colbourn-Martirosyan-Trung-Walker |
| 6642 | 144249 | Colbourn-Martirosyan-Trung-Walker |
| 6966 | 144575 | Colbourn-Martirosyan-Trung-Walker |
| 7290 | 145601 | Colbourn-Martirosyan-Trung-Walker |
| 7938 | 158521 | Colbourn-Martirosyan-Trung-Walker |
| 8019 | 160001 | Colbourn-Martirosyan-Trung-Walker |
| 8100 | 162529 | Colbourn-Martirosyan-Trung-Walker |
| 8748 | 163553 | Colbourn-Martirosyan-Trung-Walker |
| 9153 | 163953 | Colbourn-Martirosyan-Trung-Walker |
| 9234 | 174393 | Colbourn-Martirosyan-Trung-Walker |
| 9477 | 175181 | Colbourn-Martirosyan-Trung-Walker |
| 9801 | 177965 | Colbourn-Martirosyan-Trung-Walker |
| 9882 | 180557 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 180963 | Colbourn-Martirosyan-Trung-Walker |