| k | N | Source |
| 26 | 390625 | orthogonal array |
| 28 | 531437 | orthogonal array fuse fuse |
| 30 | 707273 | orthogonal array fuse fuse fuse fuse |
| 51 | 886875 | Derive from strength 5 |
| 52 | 1155601 | Colbourn-Martirosyan-Trung-Walker |
| 53 | 1224203 | Derive from strength 5 |
| 55 | 1224397 | Derive from strength 5 |
| 56 | 1394358 | Colbourn-Martirosyan-Trung-Walker |
| 57 | 1640077 | Derive from strength 5 |
| 59 | 1640465 | Derive from strength 5 |
| 60 | 1683042 | Colbourn-Martirosyan-Trung-Walker |
| 61 | 1897549 | Derive from strength 5 |
| 63 | 1898519 | Derive from strength 5 |
| 65 | 1898713 | Derive from strength 5 |
| 67 | 1899683 | Derive from strength 5 |
| 625 | 1906249 | Colbourn-Martirosyan-Trung-Walker |
| 650 | 1936249 | Colbourn-Martirosyan-Trung-Walker |
| 675 | 2174357 | Colbourn-Martirosyan-Trung-Walker |
| 700 | 2204357 | Colbourn-Martirosyan-Trung-Walker |
| 725 | 2493041 | Colbourn-Martirosyan-Trung-Walker |
| 750 | 2523041 | Colbourn-Martirosyan-Trung-Walker |
| 775 | 2832195 | Colbourn-Martirosyan-Trung-Walker |
| 800 | 2847195 | Colbourn-Martirosyan-Trung-Walker |
| 925 | 2942499 | Colbourn-Martirosyan-Trung-Walker |
| 1275 | 3122499 | Colbourn-Martirosyan-Trung-Walker |
| 1300 | 3391225 | Colbourn-Martirosyan-Trung-Walker |
| 1325 | 3612995 | Colbourn-Martirosyan-Trung-Walker |
| 1350 | 3613189 | Colbourn-Martirosyan-Trung-Walker |
| 1375 | 3613765 | Colbourn-Martirosyan-Trung-Walker |
| 1400 | 3783726 | Colbourn-Martirosyan-Trung-Walker |
| 1425 | 4143445 | Colbourn-Martirosyan-Trung-Walker |
| 1450 | 4143833 | Colbourn-Martirosyan-Trung-Walker |
| 1475 | 4144985 | Colbourn-Martirosyan-Trung-Walker |
| 1500 | 4187562 | Colbourn-Martirosyan-Trung-Walker |
| 1587 | 4296864 | Power N23^3Tlev |
| 1625 | 4494337 | Colbourn-Martirosyan-Trung-Walker |
| 1675 | 4495307 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 4501873 | Colbourn-Martirosyan-Trung-Walker |