| k | N | Source |
| 4 | 10648 | Derive from strength 4 |
| 5 | 10890 | Li-Ji-Yin |
| 6 | 11132 | Ji-Yin |
| 7 | 11865 | orthogonal array fuse postop NCK |
| 8 | 12065 | orthogonal array fuse postop NCK |
| 10 | 12103 | orthogonal array fuse postop NCK |
| 12 | 12133 | orthogonal array fuse postop NCK |
| 14 | 12135 | orthogonal array fuse postop NCK |
| 15 | 12137 | orthogonal array fuse postop NCK |
| 24 | 12165 | orthogonal array fuse |
| 26 | 15533 | orthogonal array fuse fuse fuse postop NCK |
| 28 | 19540 | orthogonal array fuse fuse fuse fuse fuse postop NCK |
| 30 | 23141 | Chateauneuf-Kreher doubling |
| 32 | 23169 | Chateauneuf-Kreher doubling |
| 42 | 23190 | Chateauneuf-Kreher doubling |
| 48 | 23211 | Chateauneuf-Kreher doubling |
| 50 | 26621 | Chateauneuf-Kreher doubling |
| 52 | 28322 | Chateauneuf-Kreher doubling |
| 54 | 32371 | Chateauneuf-Kreher doubling |
| 56 | 32413 | Chateauneuf-Kreher doubling |
| 92 | 33924 | Colbourn-Martirosyan-Trung-Walker |
| 115 | 34166 | Colbourn-Martirosyan-Trung-Walker |
| 138 | 34408 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 34935 | Cohen-Colbourn-Ling |
| 161 | 35141 | Colbourn-Martirosyan-Trung-Walker |
| 184 | 35341 | Colbourn-Martirosyan-Trung-Walker |
| 230 | 35379 | Colbourn-Martirosyan-Trung-Walker |
| 276 | 35409 | Colbourn-Martirosyan-Trung-Walker |
| 322 | 35411 | Colbourn-Martirosyan-Trung-Walker |
| 345 | 35413 | Colbourn-Martirosyan-Trung-Walker |
| 552 | 35441 | Colbourn-Martirosyan-Trung-Walker |
| 598 | 40723 | Colbourn-Martirosyan-Trung-Walker |
| 621 | 44796 | Colbourn-Martirosyan-Trung-Walker |
| 644 | 44862 | Colbourn-Martirosyan-Trung-Walker |
| 650 | 45619 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 667 | 50311 | Colbourn-Martirosyan-Trung-Walker |
| 690 | 50355 | Colbourn-Martirosyan-Trung-Walker |
| 713 | 50471 | Colbourn-Martirosyan-Trung-Walker |
| 736 | 50515 | Colbourn-Martirosyan-Trung-Walker |
| 2312 | 50864 | Cyclotomy (Colbourn) |
| 2333 | 51326 | Cyclotomy (Colbourn) |
| 2708 | 59554 | Cyclotomy (Colbourn) |
| 2729 | 60038 | Cyclotomy (Colbourn) |
| 2862 | 62964 | Cyclotomy (Colbourn) |
| 2927 | 64394 | Cyclotomy (Colbourn) |
| 2972 | 65384 | Cyclotomy (Colbourn) |
| 3037 | 66814 | Cyclotomy (Colbourn) |
| 3174 | 68816 | Colbourn-Martirosyan-Trung-Walker |
| 3312 | 69343 | Colbourn-Martirosyan-Trung-Walker |
| 3703 | 69549 | Colbourn-Martirosyan-Trung-Walker |
| 4232 | 69749 | Colbourn-Martirosyan-Trung-Walker |
| 5290 | 69787 | Colbourn-Martirosyan-Trung-Walker |
| 6348 | 69817 | Colbourn-Martirosyan-Trung-Walker |
| 7406 | 69819 | Colbourn-Martirosyan-Trung-Walker |
| 7935 | 69821 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 69849 | Colbourn-Martirosyan-Trung-Walker |