| k | N | Source |
| 18 | 4913 | orthogonal array |
| 20 | 6855 | fuse symbols |
| 36 | 9537 | Chateauneuf-Kreher doubling |
| 40 | 12551 | Chateauneuf-Kreher doubling |
| 306 | 14161 | Colbourn-Martirosyan-Trung-Walker |
| 340 | 17175 | Colbourn-Martirosyan-Trung-Walker |
| 342 | 17909 | Colbourn-Martirosyan-Trung-Walker |
| 380 | 19851 | fuse symbols |
| 527 | 22113 | Colbourn-Martirosyan-Trung-Walker |
| 544 | 22369 | Colbourn-Martirosyan-Trung-Walker |
| 561 | 22625 | Colbourn-Martirosyan-Trung-Walker |
| 578 | 22881 | Colbourn-Martirosyan-Trung-Walker |
| 612 | 23137 | Colbourn-Martirosyan-Trung-Walker |
| 648 | 23698 | Cohen-Colbourn-Ling |
| 680 | 26151 | Colbourn-Martirosyan-Trung-Walker |
| 720 | 26712 | Cohen-Colbourn-Ling |
| 5202 | 27761 | Colbourn-Martirosyan-Trung-Walker |
| 5491 | 30775 | Colbourn-Martirosyan-Trung-Walker |
| 5508 | 31031 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 31847 | Colbourn-Martirosyan-Trung-Walker |
| 5814 | 32581 | Colbourn-Martirosyan-Trung-Walker |
| 6103 | 34523 | Colbourn-Martirosyan-Trung-Walker |
| 6426 | 34555 | Colbourn-Martirosyan-Trung-Walker |
| 6460 | 34571 | Colbourn-Martirosyan-Trung-Walker |
| 6732 | 36833 | Colbourn-Martirosyan-Trung-Walker |
| 6783 | 37857 | Colbourn-Martirosyan-Trung-Walker |
| 7140 | 37889 | Colbourn-Martirosyan-Trung-Walker |
| 7480 | 37905 | Colbourn-Martirosyan-Trung-Walker |
| 7497 | 37921 | Colbourn-Martirosyan-Trung-Walker |
| 7854 | 37937 | Colbourn-Martirosyan-Trung-Walker |
| 8228 | 37953 | Colbourn-Martirosyan-Trung-Walker |
| 8959 | 39041 | Colbourn-Martirosyan-Trung-Walker |
| 9248 | 39297 | Colbourn-Martirosyan-Trung-Walker |
| 9469 | 39553 | Colbourn-Martirosyan-Trung-Walker |
| 9537 | 39809 | Colbourn-Martirosyan-Trung-Walker |
| 9775 | 40065 | Colbourn-Martirosyan-Trung-Walker |
| 9826 | 40321 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 40577 | Colbourn-Martirosyan-Trung-Walker |