| k | N | Source |
| 24 | 279841 | orthogonal array |
| 26 | 390621 | orthogonal array fuse fuse |
| 28 | 531433 | orthogonal array fuse fuse fuse fuse |
| 47 | 641677 | Derive from strength 5 |
| 48 | 826805 | Colbourn-Martirosyan-Trung-Walker |
| 51 | 886871 | Derive from strength 5 fuse fuse |
| 52 | 1014124 | Colbourn-Martirosyan-Trung-Walker |
| 53 | 1224199 | Derive from strength 5 fuse fuse |
| 55 | 1224393 | Derive from strength 5 fuse fuse |
| 56 | 1244124 | Colbourn-Martirosyan-Trung-Walker |
| 529 | 1362703 | Colbourn-Martirosyan-Trung-Walker |
| 552 | 1385979 | Colbourn-Martirosyan-Trung-Walker |
| 575 | 1572747 | Colbourn-Martirosyan-Trung-Walker |
| 598 | 1596023 | Colbourn-Martirosyan-Trung-Walker |
| 621 | 1826023 | Colbourn-Martirosyan-Trung-Walker |
| 644 | 1849299 | Colbourn-Martirosyan-Trung-Walker |
| 650 | 1936245 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 667 | 2050403 | Colbourn-Martirosyan-Trung-Walker |
| 713 | 2073679 | Colbourn-Martirosyan-Trung-Walker |
| 736 | 2085317 | Colbourn-Martirosyan-Trung-Walker |
| 1081 | 2236611 | Colbourn-Martirosyan-Trung-Walker |
| 1104 | 2421739 | Colbourn-Martirosyan-Trung-Walker |
| 1173 | 2600869 | Colbourn-Martirosyan-Trung-Walker |
| 1196 | 2728122 | Colbourn-Martirosyan-Trung-Walker |
| 1219 | 3028837 | Colbourn-Martirosyan-Trung-Walker |
| 1242 | 3029031 | Colbourn-Martirosyan-Trung-Walker |
| 1265 | 3029999 | Colbourn-Martirosyan-Trung-Walker |
| 1288 | 3049730 | Colbourn-Martirosyan-Trung-Walker |
| 1587 | 3078240 | Power N23^3Tlev |
| 10000 | 3213673 | Colbourn-Martirosyan-Trung-Walker |