| k | N | Source |
| 20 | 6859 | orthogonal array |
| 24 | 11942 | orthogonal array fuse fuse fuse fuse postop NCK |
| 40 | 13357 | Chateauneuf-Kreher doubling |
| 380 | 19855 | Colbourn-Martirosyan-Trung-Walker |
| 381 | 26353 | Add a factor |
| 400 | 26714 | Cohen-Colbourn-Ling |
| 456 | 27494 | Colbourn-Martirosyan-Trung-Walker |
| 475 | 28999 | Colbourn-Martirosyan-Trung-Walker |
| 494 | 29035 | Colbourn-Martirosyan-Trung-Walker |
| 513 | 29071 | Colbourn-Martirosyan-Trung-Walker |
| 532 | 29125 | Colbourn-Martirosyan-Trung-Walker |
| 551 | 30223 | Colbourn-Martirosyan-Trung-Walker |
| 570 | 30349 | Colbourn-Martirosyan-Trung-Walker |
| 589 | 30403 | Colbourn-Martirosyan-Trung-Walker |
| 608 | 30457 | Colbourn-Martirosyan-Trung-Walker |
| 627 | 31447 | Colbourn-Martirosyan-Trung-Walker |
| 646 | 31483 | Colbourn-Martirosyan-Trung-Walker |
| 665 | 31501 | Colbourn-Martirosyan-Trung-Walker |
| 684 | 31537 | Colbourn-Martirosyan-Trung-Walker |
| 703 | 31861 | Colbourn-Martirosyan-Trung-Walker |
| 722 | 32185 | Colbourn-Martirosyan-Trung-Walker |
| 760 | 32509 | Colbourn-Martirosyan-Trung-Walker |
| 800 | 33212 | Cohen-Colbourn-Ling |
| 1802 | 36038 | Cyclotomy (Colbourn) fuse |
| 1861 | 37218 | Cyclotomy (Colbourn) fuse |
| 7220 | 39007 | Colbourn-Martirosyan-Trung-Walker |
| 7239 | 45505 | Colbourn-Martirosyan-Trung-Walker |
| 7581 | 45866 | Colbourn-Martirosyan-Trung-Walker |
| 7600 | 46190 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 48006 | Power N19^4Tlev |