| k | N | Source |
| 8 | 2401 | orthogonal array |
| 9 | 3629 | orthogonal array fuse postop NCK |
| 18 | 4795 | Sherwood-Martirosyan-Colbourn, Walker |
| 30 | 7189 | Sherwood-Martirosyan-Colbourn, Walker |
| 54 | 9583 | Sherwood-Martirosyan-Colbourn, Walker |
| 56 | 11269 | Colbourn-Martirosyan-Trung-Walker |
| 63 | 13565 | Colbourn-Martirosyan-Trung-Walker |
| 70 | 15949 | Colbourn-Martirosyan-Trung-Walker |
| 112 | 16897 | Colbourn-Martirosyan-Trung-Walker |
| 126 | 17149 | Colbourn-Martirosyan-Trung-Walker |
| 210 | 19543 | Colbourn-Martirosyan-Trung-Walker |
| 224 | 21937 | Colbourn-Martirosyan-Trung-Walker |
| 343 | 23449 | Colbourn-Martirosyan-Trung-Walker |
| 350 | 24037 | Colbourn-Martirosyan-Trung-Walker |
| 378 | 24441 | Colbourn-Martirosyan-Trung-Walker |
| 392 | 26127 | Colbourn-Martirosyan-Trung-Walker |
| 406 | 28927 | Colbourn-Martirosyan-Trung-Walker |
| 441 | 29593 | Colbourn-Martirosyan-Trung-Walker |
| 448 | 31977 | Colbourn-Martirosyan-Trung-Walker |
| 490 | 32565 | Colbourn-Martirosyan-Trung-Walker |
| 518 | 33751 | Colbourn-Martirosyan-Trung-Walker |
| 560 | 34123 | Colbourn-Martirosyan-Trung-Walker |
| 567 | 34513 | Colbourn-Martirosyan-Trung-Walker |
| 574 | 36865 | Colbourn-Martirosyan-Trung-Walker |
| 602 | 37117 | Colbourn-Martirosyan-Trung-Walker |
| 784 | 37399 | Colbourn-Martirosyan-Trung-Walker |
| 882 | 37651 | Colbourn-Martirosyan-Trung-Walker |
| 1050 | 40045 | Colbourn-Martirosyan-Trung-Walker |
| 1386 | 40255 | Colbourn-Martirosyan-Trung-Walker |
| 1470 | 40801 | Colbourn-Martirosyan-Trung-Walker |
| 1484 | 43195 | Colbourn-Martirosyan-Trung-Walker |
| 1568 | 43447 | Colbourn-Martirosyan-Trung-Walker |
| 1792 | 45505 | Colbourn-Martirosyan-Trung-Walker |
| 2401 | 46471 | Colbourn-Martirosyan-Trung-Walker |
| 2450 | 47941 | Colbourn-Martirosyan-Trung-Walker |
| 2646 | 48345 | Colbourn-Martirosyan-Trung-Walker |
| 2744 | 50031 | Colbourn-Martirosyan-Trung-Walker |
| 2842 | 53335 | Colbourn-Martirosyan-Trung-Walker |
| 3087 | 54001 | Colbourn-Martirosyan-Trung-Walker |
| 3136 | 56601 | Colbourn-Martirosyan-Trung-Walker |
| 3185 | 57333 | Colbourn-Martirosyan-Trung-Walker |
| 3430 | 57405 | Colbourn-Martirosyan-Trung-Walker |
| 4914 | 57528 | Power N17^3+1 |
| 4915 | 65382 | Add a factor |
| 5047 | 65749 | Colbourn-Martirosyan-Trung-Walker |
| 5341 | 65785 | Colbourn-Martirosyan-Trung-Walker |
| 5488 | 65857 | Colbourn-Martirosyan-Trung-Walker |
| 5586 | 66145 | Colbourn-Martirosyan-Trung-Walker |
| 5831 | 66181 | Colbourn-Martirosyan-Trung-Walker |
| 5929 | 66217 | Colbourn-Martirosyan-Trung-Walker |
| 6174 | 66253 | Colbourn-Martirosyan-Trung-Walker |
| 6223 | 68647 | Colbourn-Martirosyan-Trung-Walker |
| 6272 | 68683 | Colbourn-Martirosyan-Trung-Walker |
| 6615 | 68719 | Colbourn-Martirosyan-Trung-Walker |
| 7301 | 68791 | Colbourn-Martirosyan-Trung-Walker |
| 7350 | 68863 | Colbourn-Martirosyan-Trung-Walker |
| 9702 | 69283 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 70375 | Colbourn-Martirosyan-Trung-Walker |