| k | N | Source |
| 6 | 13824 | orthogonal array (Ji-Yin) |
| 26 | 15623 | orthogonal array fuse |
| 28 | 19677 | orthogonal array fuse fuse fuse |
| 30 | 24379 | orthogonal array fuse fuse fuse fuse fuse |
| 32 | 29777 | orthogonal array fuse fuse fuse fuse fuse fuse fuse |
| 52 | 29929 | Chateauneuf-Kreher doubling |
| 54 | 34029 | Chateauneuf-Kreher doubling |
| 56 | 36122 | Chateauneuf-Kreher doubling |
| 58 | 40893 | Chateauneuf-Kreher doubling |
| 60 | 40985 | Chateauneuf-Kreher doubling |
| 150 | 43824 | Colbourn-Martirosyan-Trung-Walker |
| 156 | 44447 | Cohen-Colbourn-Ling |
| 650 | 45623 | Colbourn-Martirosyan-Trung-Walker fuse |
| 675 | 52005 | Colbourn-Martirosyan-Trung-Walker fuse |
| 700 | 52029 | Colbourn-Martirosyan-Trung-Walker fuse |
| 725 | 56779 | Colbourn-Martirosyan-Trung-Walker fuse |
| 750 | 56827 | Colbourn-Martirosyan-Trung-Walker fuse |
| 775 | 64481 | Colbourn-Martirosyan-Trung-Walker fuse |
| 800 | 64601 | Colbourn-Martirosyan-Trung-Walker fuse |
| 825 | 64777 | Colbourn-Martirosyan-Trung-Walker |
| 850 | 64897 | Colbourn-Martirosyan-Trung-Walker |
| 875 | 67009 | Colbourn-Martirosyan-Trung-Walker |
| 900 | 67081 | Colbourn-Martirosyan-Trung-Walker |
| 925 | 67153 | Colbourn-Martirosyan-Trung-Walker |
| 950 | 67249 | Colbourn-Martirosyan-Trung-Walker |
| 975 | 68353 | Colbourn-Martirosyan-Trung-Walker |
| 1000 | 68377 | Colbourn-Martirosyan-Trung-Walker |
| 1025 | 73441 | Colbourn-Martirosyan-Trung-Walker |
| 1300 | 73683 | Chateauneuf-Kreher doubling |
| 1352 | 75552 | Cohen-Colbourn-Ling |
| 3314 | 79512 | Cyclotomy (Colbourn) |
| 3361 | 80664 | Cyclotomy (Colbourn) |
| 3458 | 82968 | Cyclotomy (Colbourn) |
| 3530 | 84696 | Cyclotomy (Colbourn) |
| 3674 | 88152 | Cyclotomy (Colbourn) |
| 3750 | 88224 | Colbourn-Martirosyan-Trung-Walker |
| 3900 | 88847 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 90023 | Colbourn-Martirosyan-Trung-Walker fuse |