| k | N | Source |
| 4 | 5832 | orthogonal array |
| 5 | 5994 | Li-Ji-Yin |
| 6 | 6156 | Ji-Yin |
| 20 | 6857 | fuse symbols |
| 24 | 12157 | fuse symbols |
| 40 | 12943 | Chateauneuf-Kreher doubling |
| 42 | 18277 | Chateauneuf-Kreher doubling |
| 76 | 18828 | Colbourn-Martirosyan-Trung-Walker |
| 95 | 18990 | Colbourn-Martirosyan-Trung-Walker |
| 114 | 19152 | Colbourn-Martirosyan-Trung-Walker |
| 120 | 19511 | Cohen-Colbourn-Ling |
| 380 | 19853 | fuse symbols |
| 400 | 26710 | Cohen-Colbourn-Ling |
| 456 | 28015 | fuse symbols |
| 475 | 28837 | Colbourn-Martirosyan-Trung-Walker |
| 494 | 28855 | Colbourn-Martirosyan-Trung-Walker |
| 513 | 28873 | Colbourn-Martirosyan-Trung-Walker |
| 532 | 28891 | Colbourn-Martirosyan-Trung-Walker |
| 551 | 30529 | Colbourn-Martirosyan-Trung-Walker |
| 570 | 30547 | Colbourn-Martirosyan-Trung-Walker |
| 589 | 30565 | Colbourn-Martirosyan-Trung-Walker |
| 608 | 30583 | Colbourn-Martirosyan-Trung-Walker |
| 684 | 31123 | Colbourn-Martirosyan-Trung-Walker |
| 703 | 31447 | Colbourn-Martirosyan-Trung-Walker |
| 760 | 31719 | Chateauneuf-Kreher doubling |
| 800 | 32796 | Cohen-Colbourn-Ling |
| 1444 | 37980 | Colbourn-Martirosyan-Trung-Walker |
| 1805 | 38142 | Colbourn-Martirosyan-Trung-Walker |
| 2166 | 38304 | Colbourn-Martirosyan-Trung-Walker |
| 2280 | 38663 | Colbourn-Martirosyan-Trung-Walker |
| 7220 | 39005 | fuse symbols |
| 7581 | 45862 | Colbourn-Martirosyan-Trung-Walker |
| 7600 | 46186 | Colbourn-Martirosyan-Trung-Walker |
| 8664 | 50029 | fuse symbols |
| 9025 | 50851 | Colbourn-Martirosyan-Trung-Walker |
| 9101 | 50869 | Colbourn-Martirosyan-Trung-Walker |
| 9386 | 50905 | Colbourn-Martirosyan-Trung-Walker |
| 9500 | 50923 | Colbourn-Martirosyan-Trung-Walker |
| 9747 | 50941 | Colbourn-Martirosyan-Trung-Walker |
| 9880 | 50959 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 50977 | Colbourn-Martirosyan-Trung-Walker |