| k | N | Source |
| 6 | 3375 | orthogonal array (Ji-Yin) |
| 18 | 4087 | orthogonal array fuse postop NCK |
| 20 | 6544 | orthogonal array fuse fuse fuse fuse postop NCK |
| 34 | 7629 | Chateauneuf-Kreher doubling |
| 36 | 7657 | Chateauneuf-Kreher doubling |
| 38 | 10506 | Chateauneuf-Kreher doubling |
| 40 | 10548 | Chateauneuf-Kreher doubling |
| 96 | 11055 | Colbourn-Martirosyan-Trung-Walker |
| 102 | 11302 | Cohen-Colbourn-Ling |
| 108 | 11752 | Cohen-Colbourn-Ling |
| 272 | 11767 | Colbourn-Martirosyan-Trung-Walker |
| 288 | 12217 | Colbourn-Martirosyan-Trung-Walker |
| 306 | 13335 | Colbourn-Martirosyan-Trung-Walker |
| 320 | 15559 | Colbourn-Martirosyan-Trung-Walker |
| 324 | 16344 | Power 18^2 |
| 336 | 16674 | Colbourn-Martirosyan-Trung-Walker |
| 352 | 16689 | Colbourn-Martirosyan-Trung-Walker |
| 368 | 16734 | Colbourn-Martirosyan-Trung-Walker |
| 448 | 17784 | Colbourn-Martirosyan-Trung-Walker |
| 464 | 18009 | Colbourn-Martirosyan-Trung-Walker |
| 480 | 18234 | Colbourn-Martirosyan-Trung-Walker |
| 1154 | 18446 | Cyclotomy (Colbourn) fuse |
| 1232 | 18480 | Cyclotomy (Colbourn) |
| 1291 | 19365 | Cyclotomy (Colbourn) |
| 1292 | 19575 | Cyclotomy (Colbourn) |
| 1322 | 19815 | Cyclotomy (Colbourn) |
| 1382 | 20715 | Cyclotomy (Colbourn) |
| 1472 | 22065 | Cyclotomy (Colbourn) |
| 1536 | 22335 | Colbourn-Martirosyan-Trung-Walker |
| 1632 | 22582 | Colbourn-Martirosyan-Trung-Walker |
| 1728 | 23032 | Colbourn-Martirosyan-Trung-Walker |
| 4352 | 23047 | Colbourn-Martirosyan-Trung-Walker |
| 4608 | 23497 | Colbourn-Martirosyan-Trung-Walker |
| 4961 | 24516 | Power N19^3S6 |
| 5202 | 26935 | Colbourn-Martirosyan-Trung-Walker |
| 5236 | 26973 | Power N19^3S5 |
| 5376 | 28884 | Colbourn-Martirosyan-Trung-Walker |
| 5472 | 28899 | Colbourn-Martirosyan-Trung-Walker |
| 5632 | 28929 | Colbourn-Martirosyan-Trung-Walker |
| 5776 | 28974 | Colbourn-Martirosyan-Trung-Walker |
| 5888 | 29439 | Colbourn-Martirosyan-Trung-Walker |
| 5920 | 30489 | Colbourn-Martirosyan-Trung-Walker |
| 6256 | 30594 | Colbourn-Martirosyan-Trung-Walker |
| 6384 | 30909 | Colbourn-Martirosyan-Trung-Walker |
| 6688 | 30924 | Colbourn-Martirosyan-Trung-Walker |
| 6992 | 30969 | Colbourn-Martirosyan-Trung-Walker |
| 7168 | 31539 | Colbourn-Martirosyan-Trung-Walker |
| 7424 | 31764 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 31976 | Power N19^4T13S7 |