| k | N | Source |
| 6 | 9261 | orthogonal array (Ji-Yin) |
| 24 | 12141 | orthogonal array fuse fuse postop NCK |
| 26 | 15562 | orthogonal array fuse fuse fuse postop NCK fuse |
| 28 | 19671 | orthogonal array fuse fuse fuse fuse fuse fuse |
| 48 | 22581 | Chateauneuf-Kreher doubling |
| 50 | 26062 | Chateauneuf-Kreher doubling |
| 52 | 26102 | Chateauneuf-Kreher doubling |
| 54 | 31691 | Chateauneuf-Kreher doubling |
| 56 | 31791 | Chateauneuf-Kreher doubling |
| 138 | 32537 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 33040 | Cohen-Colbourn-Ling |
| 552 | 35417 | Colbourn-Martirosyan-Trung-Walker |
| 598 | 40796 | Colbourn-Martirosyan-Trung-Walker fuse |
| 600 | 42163 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 621 | 44971 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 644 | 45015 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 650 | 45562 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2270 | 47670 | Cyclotomy (Colbourn) |
| 2312 | 48531 | Cyclotomy (Colbourn) |
| 2437 | 51177 | Cyclotomy (Colbourn) |
| 2732 | 57372 | Cyclotomy (Colbourn) |
| 2857 | 59997 | Cyclotomy (Colbourn) |
| 2862 | 62962 | Cyclotomy (Colbourn) fuse |
| 2927 | 64392 | Cyclotomy (Colbourn) fuse |
| 3068 | 64428 | Cyclotomy (Colbourn) |
| 3109 | 65289 | Cyclotomy (Colbourn) |
| 3174 | 66945 | Colbourn-Martirosyan-Trung-Walker |
| 3312 | 67448 | Colbourn-Martirosyan-Trung-Walker |
| 3456 | 68457 | Cohen-Colbourn-Ling |
| 10000 | 69825 | Colbourn-Martirosyan-Trung-Walker |