| k | N | Source |
| 4 | 1000 | orthogonal array |
| 5 | 1050 | Li-Ji-Yin |
| 6 | 1100 | Ji-Yin |
| 10 | 1219 | simulated annealing (Cohen) |
| 12 | 1329 | fuse symbols |
| 14 | 2191 | fuse symbols |
| 20 | 2281 | Chateauneuf-Kreher doubling |
| 24 | 2391 | Chateauneuf-Kreher doubling |
| 50 | 2649 | fuse symbols |
| 55 | 3470 | Colbourn-Martirosyan-Trung-Walker |
| 66 | 3520 | Colbourn-Martirosyan-Trung-Walker |
| 110 | 3639 | Colbourn-Martirosyan-Trung-Walker |
| 132 | 3749 | fuse symbols |
| 146 | 3969 | fuse symbols |
| 154 | 5011 | fuse symbols |
| 176 | 5101 | Colbourn-Martirosyan-Trung-Walker |
| 187 | 5201 | Colbourn-Martirosyan-Trung-Walker |
| 198 | 5291 | Colbourn-Martirosyan-Trung-Walker |
| 209 | 5401 | Colbourn-Martirosyan-Trung-Walker |
| 220 | 5501 | Colbourn-Martirosyan-Trung-Walker |
| 231 | 5711 | Colbourn-Martirosyan-Trung-Walker |
| 264 | 5783 | Chateauneuf-Kreher doubling |
| 286 | 6003 | Chateauneuf-Kreher doubling |
| 292 | 6021 | Chateauneuf-Kreher doubling |
| 300 | 6059 | Cohen-Colbourn-Ling |
| 550 | 6169 | fuse symbols |
| 600 | 6398 | Cohen-Colbourn-Ling |
| 605 | 6990 | Colbourn-Martirosyan-Trung-Walker |
| 726 | 7040 | Colbourn-Martirosyan-Trung-Walker |
| 1210 | 7159 | Colbourn-Martirosyan-Trung-Walker |
| 1452 | 7269 | fuse symbols |
| 1573 | 7489 | fuse symbols |
| 1584 | 7589 | fuse symbols |
| 1606 | 7889 | fuse symbols |
| 1752 | 8928 | Cohen-Colbourn-Ling |
| 1936 | 9021 | Colbourn-Martirosyan-Trung-Walker |
| 2057 | 9121 | Colbourn-Martirosyan-Trung-Walker |
| 2101 | 9211 | Colbourn-Martirosyan-Trung-Walker |
| 2112 | 9271 | Colbourn-Martirosyan-Trung-Walker |
| 2178 | 9311 | Colbourn-Martirosyan-Trung-Walker |
| 2233 | 9421 | Colbourn-Martirosyan-Trung-Walker |
| 2299 | 9521 | Colbourn-Martirosyan-Trung-Walker |
| 2365 | 9621 | Colbourn-Martirosyan-Trung-Walker |
| 2376 | 9711 | Colbourn-Martirosyan-Trung-Walker |
| 2420 | 9721 | Colbourn-Martirosyan-Trung-Walker |
| 2500 | 9918 | Cohen-Colbourn-Ling |
| 2541 | 10031 | Colbourn-Martirosyan-Trung-Walker |
| 2805 | 10103 | Colbourn-Martirosyan-Trung-Walker |
| 2816 | 10163 | Colbourn-Martirosyan-Trung-Walker |
| 2904 | 10203 | Colbourn-Martirosyan-Trung-Walker |
| 2981 | 10423 | Colbourn-Martirosyan-Trung-Walker |
| 2992 | 10483 | Colbourn-Martirosyan-Trung-Walker |
| 3146 | 10495 | Chateauneuf-Kreher doubling |
| 3168 | 10541 | Colbourn-Martirosyan-Trung-Walker |
| 3179 | 10631 | Colbourn-Martirosyan-Trung-Walker |
| 3212 | 10641 | Colbourn-Martirosyan-Trung-Walker |
| 3300 | 10679 | Colbourn-Martirosyan-Trung-Walker |
| 6050 | 10789 | fuse symbols |
| 6600 | 11018 | Colbourn-Martirosyan-Trung-Walker |
| 7150 | 11238 | Cohen-Colbourn-Ling |
| 7200 | 11357 | Cohen-Colbourn-Ling |
| 7986 | 11660 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 11779 | Colbourn-Martirosyan-Trung-Walker |