| k | N | Source |
| 18 | 4913 | orthogonal array |
| 20 | 6796 | orthogonal array fuse fuse postop NCK |
| 36 | 9537 | Chateauneuf-Kreher doubling |
| 38 | 12444 | Chateauneuf-Kreher doubling |
| 40 | 12460 | Chateauneuf-Kreher doubling |
| 306 | 14161 | Colbourn-Martirosyan-Trung-Walker |
| 323 | 17068 | Colbourn-Martirosyan-Trung-Walker |
| 340 | 17084 | Colbourn-Martirosyan-Trung-Walker |
| 342 | 17909 | Colbourn-Martirosyan-Trung-Walker |
| 380 | 19792 | Colbourn-Martirosyan-Trung-Walker |
| 391 | 21633 | Colbourn-Martirosyan-Trung-Walker |
| 408 | 21665 | Colbourn-Martirosyan-Trung-Walker |
| 425 | 21713 | Colbourn-Martirosyan-Trung-Walker |
| 442 | 21761 | Colbourn-Martirosyan-Trung-Walker |
| 459 | 21793 | Colbourn-Martirosyan-Trung-Walker |
| 476 | 21825 | Colbourn-Martirosyan-Trung-Walker |
| 493 | 21841 | Colbourn-Martirosyan-Trung-Walker |
| 510 | 21857 | Colbourn-Martirosyan-Trung-Walker |
| 527 | 22113 | Colbourn-Martirosyan-Trung-Walker |
| 544 | 22369 | Colbourn-Martirosyan-Trung-Walker |
| 561 | 22625 | Colbourn-Martirosyan-Trung-Walker |
| 578 | 22817 | Colbourn-Martirosyan-Trung-Walker |
| 612 | 23137 | Colbourn-Martirosyan-Trung-Walker |
| 1298 | 23362 | Cyclotomy (Colbourn) fuse |
| 1423 | 25612 | Cyclotomy (Colbourn) fuse |
| 1532 | 27574 | Cyclotomy (Colbourn) fuse |
| 5202 | 27761 | Colbourn-Martirosyan-Trung-Walker |
| 5491 | 30668 | Colbourn-Martirosyan-Trung-Walker |
| 5508 | 30940 | Colbourn-Martirosyan-Trung-Walker |
| 5525 | 31708 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 31724 | Colbourn-Martirosyan-Trung-Walker |
| 5814 | 32549 | Colbourn-Martirosyan-Trung-Walker |
| 6103 | 34464 | Colbourn-Martirosyan-Trung-Walker |
| 6392 | 34496 | Colbourn-Martirosyan-Trung-Walker |
| 6460 | 34512 | Colbourn-Martirosyan-Trung-Walker |
| 6647 | 36353 | Colbourn-Martirosyan-Trung-Walker |
| 6732 | 36385 | Colbourn-Martirosyan-Trung-Walker |
| 6936 | 37409 | Colbourn-Martirosyan-Trung-Walker |
| 7106 | 37457 | Colbourn-Martirosyan-Trung-Walker |
| 7225 | 37473 | Colbourn-Martirosyan-Trung-Walker |
| 7480 | 37521 | Colbourn-Martirosyan-Trung-Walker |
| 7514 | 37553 | Colbourn-Martirosyan-Trung-Walker |
| 7803 | 37585 | Colbourn-Martirosyan-Trung-Walker |
| 7854 | 37617 | Colbourn-Martirosyan-Trung-Walker |
| 8092 | 37649 | Colbourn-Martirosyan-Trung-Walker |
| 8228 | 37665 | Colbourn-Martirosyan-Trung-Walker |
| 8381 | 38497 | Colbourn-Martirosyan-Trung-Walker |
| 8415 | 38513 | Colbourn-Martirosyan-Trung-Walker |
| 8670 | 38529 | Colbourn-Martirosyan-Trung-Walker |
| 8704 | 38785 | Colbourn-Martirosyan-Trung-Walker |
| 8874 | 39025 | Colbourn-Martirosyan-Trung-Walker |
| 8959 | 39041 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 39296 | Power N19^4S8 |