| k | N | Source |
| 6 | 13824 | orthogonal array (Ji-Yin) |
| 11 | 15180 | ordered design (CCL) |
| 26 | 15623 | orthogonal array fuse |
| 28 | 19665 | orthogonal array fuse fuse fuse postop NCK |
| 30 | 24234 | orthogonal array fuse fuse fuse fuse fuse postop NCK |
| 32 | 29420 | orthogonal array fuse fuse fuse fuse fuse fuse fuse postop NCK |
| 34 | 29883 | Chateauneuf-Kreher doubling |
| 44 | 29906 | Chateauneuf-Kreher doubling |
| 52 | 29929 | Chateauneuf-Kreher doubling |
| 54 | 34017 | Chateauneuf-Kreher doubling |
| 56 | 36064 | Chateauneuf-Kreher doubling |
| 58 | 40702 | Chateauneuf-Kreher doubling |
| 60 | 40748 | Chateauneuf-Kreher doubling |
| 66 | 43218 | Cohen-Colbourn-Ling |
| 72 | 43608 | Cohen-Colbourn-Ling |
| 84 | 43684 | Cohen-Colbourn-Ling |
| 102 | 43707 | Cohen-Colbourn-Ling |
| 132 | 43730 | Cohen-Colbourn-Ling |
| 156 | 43753 | Cohen-Colbourn-Ling |
| 176 | 45086 | Cohen-Colbourn-Ling |
| 208 | 45109 | Cohen-Colbourn-Ling |
| 275 | 45180 | Colbourn-Martirosyan-Trung-Walker |
| 650 | 45623 | Colbourn-Martirosyan-Trung-Walker |
| 700 | 51921 | Colbourn-Martirosyan-Trung-Walker |
| 725 | 56634 | Colbourn-Martirosyan-Trung-Walker |
| 750 | 56658 | Colbourn-Martirosyan-Trung-Walker |
| 775 | 64100 | Colbourn-Martirosyan-Trung-Walker |
| 800 | 64172 | Colbourn-Martirosyan-Trung-Walker |
| 825 | 64707 | Colbourn-Martirosyan-Trung-Walker |
| 850 | 64755 | Colbourn-Martirosyan-Trung-Walker |
| 875 | 66842 | Colbourn-Martirosyan-Trung-Walker |
| 900 | 66914 | Colbourn-Martirosyan-Trung-Walker |
| 925 | 66962 | Colbourn-Martirosyan-Trung-Walker |
| 950 | 67058 | Colbourn-Martirosyan-Trung-Walker |
| 1000 | 68186 | Colbourn-Martirosyan-Trung-Walker |
| 1152 | 73154 | Chateauneuf-Kreher doubling |
| 1300 | 73177 | Chateauneuf-Kreher doubling |
| 1352 | 74164 | Cohen-Colbourn-Ling |
| 1404 | 78252 | Cohen-Colbourn-Ling |
| 3314 | 79512 | Cyclotomy (Colbourn) |
| 3361 | 80664 | Cyclotomy (Colbourn) |
| 3458 | 82968 | Cyclotomy (Colbourn) |
| 3530 | 84696 | Cyclotomy (Colbourn) |
| 3900 | 87001 | Cohen-Colbourn-Ling |
| 4608 | 88334 | Cohen-Colbourn-Ling |
| 5200 | 88357 | Cohen-Colbourn-Ling |
| 6875 | 89580 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 90023 | Colbourn-Martirosyan-Trung-Walker |