| k | N | Source |
| 24 | 12167 | orthogonal array |
| 26 | 15621 | orthogonal array fuse fuse |
| 28 | 19675 | orthogonal array fuse fuse fuse fuse |
| 48 | 23805 | Chateauneuf-Kreher doubling |
| 52 | 29217 | Chateauneuf-Kreher doubling |
| 54 | 33337 | Chateauneuf-Kreher doubling |
| 56 | 33381 | Chateauneuf-Kreher doubling |
| 552 | 35443 | Colbourn-Martirosyan-Trung-Walker |
| 598 | 40855 | Colbourn-Martirosyan-Trung-Walker |
| 600 | 42167 | Colbourn-Martirosyan-Trung-Walker |
| 621 | 44975 | Colbourn-Martirosyan-Trung-Walker |
| 644 | 45019 | Colbourn-Martirosyan-Trung-Walker |
| 650 | 45621 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 667 | 51041 | Colbourn-Martirosyan-Trung-Walker |
| 690 | 51085 | Colbourn-Martirosyan-Trung-Walker |
| 713 | 51195 | Colbourn-Martirosyan-Trung-Walker |
| 736 | 51239 | Colbourn-Martirosyan-Trung-Walker |
| 759 | 53043 | Colbourn-Martirosyan-Trung-Walker |
| 782 | 53065 | Colbourn-Martirosyan-Trung-Walker |
| 805 | 53131 | Colbourn-Martirosyan-Trung-Walker |
| 828 | 53153 | Colbourn-Martirosyan-Trung-Walker |
| 851 | 55045 | Colbourn-Martirosyan-Trung-Walker |
| 874 | 55243 | Colbourn-Martirosyan-Trung-Walker |
| 897 | 55287 | Colbourn-Martirosyan-Trung-Walker |
| 920 | 55353 | Colbourn-Martirosyan-Trung-Walker |
| 943 | 56035 | Colbourn-Martirosyan-Trung-Walker |
| 966 | 56101 | Colbourn-Martirosyan-Trung-Walker |
| 1104 | 58213 | Colbourn-Martirosyan-Trung-Walker |
| 1152 | 59248 | Cohen-Colbourn-Ling |
| 1196 | 63625 | Colbourn-Martirosyan-Trung-Walker |
| 1248 | 64660 | Cohen-Colbourn-Ling |
| 1288 | 67789 | Colbourn-Martirosyan-Trung-Walker |
| 1296 | 68780 | Cohen-Colbourn-Ling |
| 1344 | 68824 | Cohen-Colbourn-Ling |
| 10000 | 69851 | Colbourn-Martirosyan-Trung-Walker |