| k | N | Source |
| 6 | 1728 | orthogonal array (Ji-Yin) |
| 14 | 2174 | orthogonal array fuse postop NCK |
| 18 | 3673 | orthogonal array fuse fuse fuse fuse postop NCK |
| 24 | 3978 | Chateauneuf-Kreher doubling |
| 28 | 3989 | Chateauneuf-Kreher doubling |
| 59 | 4379 | Sherwood-Martirosyan-Colbourn fuse |
| 78 | 5784 | Colbourn-Martirosyan-Trung-Walker |
| 84 | 5930 | Cohen-Colbourn-Ling |
| 182 | 6230 | Colbourn-Martirosyan-Trung-Walker |
| 200 | 6563 | Sherwood-Martirosyan-Colbourn fuse |
| 602 | 7224 | Cyclotomy (Colbourn) |
| 614 | 7356 | Cyclotomy (Colbourn) |
| 661 | 7932 | Cyclotomy (Colbourn) |
| 710 | 8520 | Cyclotomy (Colbourn) |
| 733 | 8796 | Cyclotomy (Colbourn) |
| 758 | 9084 | Cyclotomy (Colbourn) |
| 769 | 9228 | Cyclotomy (Colbourn) |
| 770 | 9360 | Cyclotomy (Colbourn) |
| 830 | 9948 | Cyclotomy (Colbourn) |
| 854 | 10236 | Cyclotomy (Colbourn) |
| 877 | 10524 | Cyclotomy (Colbourn) |
| 938 | 11244 | Cyclotomy (Colbourn) |
| 1014 | 11712 | Colbourn-Martirosyan-Trung-Walker |
| 1092 | 11858 | Colbourn-Martirosyan-Trung-Walker |
| 1200 | 11943 | Chateauneuf-Kreher doubling |
| 1204 | 11954 | Chateauneuf-Kreher doubling |
| 1228 | 12086 | Chateauneuf-Kreher doubling |
| 2366 | 12158 | Colbourn-Martirosyan-Trung-Walker |
| 2535 | 12491 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2548 | 12635 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2561 | 13283 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2600 | 13295 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2899 | 13956 | Colbourn-Martirosyan-Trung-Walker |
| 3068 | 13968 | Colbourn-Martirosyan-Trung-Walker |
| 3237 | 14004 | Colbourn-Martirosyan-Trung-Walker |
| 3406 | 14052 | Colbourn-Martirosyan-Trung-Walker |
| 3458 | 14148 | Colbourn-Martirosyan-Trung-Walker |
| 3809 | 14160 | Colbourn-Martirosyan-Trung-Walker |
| 3991 | 14304 | Colbourn-Martirosyan-Trung-Walker |
| 4004 | 14436 | Colbourn-Martirosyan-Trung-Walker |
| 4173 | 14448 | Colbourn-Martirosyan-Trung-Walker |
| 4355 | 14592 | Colbourn-Martirosyan-Trung-Walker |
| 4537 | 14736 | Colbourn-Martirosyan-Trung-Walker |
| 4719 | 14880 | Colbourn-Martirosyan-Trung-Walker |
| 4966 | 15012 | Colbourn-Martirosyan-Trung-Walker |
| 7826 | 15024 | Colbourn-Martirosyan-Trung-Walker |
| 7982 | 15156 | Colbourn-Martirosyan-Trung-Walker |
| 8428 | 15482 | Cohen-Colbourn-Ling |
| 8596 | 15614 | Cohen-Colbourn-Ling |
| 9254 | 16190 | Cohen-Colbourn-Ling |
| 9529 | 16596 | Colbourn-Martirosyan-Trung-Walker |
| 9940 | 16778 | Cohen-Colbourn-Ling |
| 9997 | 17028 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 17054 | Cohen-Colbourn-Ling |