| k | N | Source |
| 5 | 1728 | orthogonal array (Ji-Yin) |
| 6 | 2112 | composition |
| 12 | 2190 | simulated annealing (Cohen) |
| 14 | 2195 | fuse symbols |
| 24 | 4016 | Chateauneuf-Kreher doubling |
| 28 | 4021 | Chateauneuf-Kreher doubling |
| 59 | 4379 | fuse symbols |
| 65 | 5784 | Colbourn-Martirosyan-Trung-Walker |
| 70 | 5951 | Cohen-Colbourn-Ling |
| 78 | 6168 | Colbourn-Martirosyan-Trung-Walker |
| 156 | 6246 | Colbourn-Martirosyan-Trung-Walker |
| 182 | 6251 | fuse symbols |
| 200 | 6563 | fuse symbols |
| 260 | 8996 | Colbourn-Martirosyan-Trung-Walker |
| 273 | 9080 | Colbourn-Martirosyan-Trung-Walker |
| 286 | 9224 | Colbourn-Martirosyan-Trung-Walker |
| 299 | 9368 | Colbourn-Martirosyan-Trung-Walker |
| 312 | 9512 | Colbourn-Martirosyan-Trung-Walker |
| 325 | 9661 | Colbourn-Martirosyan-Trung-Walker |
| 364 | 9771 | Chateauneuf-Kreher doubling |
| 390 | 10083 | Chateauneuf-Kreher doubling |
| 400 | 10105 | Chateauneuf-Kreher doubling |
| 767 | 10307 | fuse symbols |
| 826 | 10630 | Cohen-Colbourn-Ling |
| 845 | 11712 | Colbourn-Martirosyan-Trung-Walker |
| 910 | 11879 | Colbourn-Martirosyan-Trung-Walker |
| 1014 | 12096 | Colbourn-Martirosyan-Trung-Walker |
| 2028 | 12174 | Colbourn-Martirosyan-Trung-Walker |
| 2366 | 12179 | fuse symbols |
| 2535 | 12491 | fuse symbols |
| 2548 | 12635 | fuse symbols |
| 2600 | 13415 | fuse symbols |
| 2800 | 14842 | Cohen-Colbourn-Ling |
| 3380 | 15848 | Colbourn-Martirosyan-Trung-Walker |
| 3393 | 15932 | Colbourn-Martirosyan-Trung-Walker |
| 3458 | 16004 | Colbourn-Martirosyan-Trung-Walker |
| 3549 | 16016 | Colbourn-Martirosyan-Trung-Walker |
| 3718 | 16160 | Colbourn-Martirosyan-Trung-Walker |
| 3809 | 16304 | Colbourn-Martirosyan-Trung-Walker |
| 3887 | 16448 | Colbourn-Martirosyan-Trung-Walker |
| 3991 | 16592 | Colbourn-Martirosyan-Trung-Walker |
| 4056 | 16736 | Colbourn-Martirosyan-Trung-Walker |
| 4173 | 16885 | Colbourn-Martirosyan-Trung-Walker |
| 4225 | 17029 | Colbourn-Martirosyan-Trung-Walker |
| 4355 | 17139 | Colbourn-Martirosyan-Trung-Walker |
| 4537 | 17283 | Colbourn-Martirosyan-Trung-Walker |
| 4732 | 17393 | Chateauneuf-Kreher doubling |
| 5070 | 17705 | Chateauneuf-Kreher doubling |
| 5096 | 17849 | Chateauneuf-Kreher doubling |
| 5200 | 17905 | Colbourn-Martirosyan-Trung-Walker |
| 9971 | 18107 | fuse symbols |
| 10000 | 18430 | Colbourn-Martirosyan-Trung-Walker |