| k | N | Source |
| 17 | 65536 | orthogonal array |
| 18 | 83519 | orthogonal array fuse |
| 20 | 130315 | orthogonal array fuse fuse fuse |
| 33 | 158208 | Derive from strength 5 |
| 34 | 192241 | Colbourn-Martirosyan-Trung-Walker |
| 35 | 199697 | Derive from strength 5 fuse |
| 36 | 210495 | Colbourn-Martirosyan-Trung-Walker |
| 40 | 296876 | Colbourn-Martirosyan-Trung-Walker |
| 256 | 315391 | Colbourn-Martirosyan-Trung-Walker |
| 272 | 319231 | Colbourn-Martirosyan-Trung-Walker |
| 288 | 344894 | Colbourn-Martirosyan-Trung-Walker |
| 289 | 402863 | Colbourn-Martirosyan-Trung-Walker fuse |
| 306 | 412111 | Colbourn-Martirosyan-Trung-Walker fuse |
| 320 | 446635 | Colbourn-Martirosyan-Trung-Walker |
| 323 | 489035 | Colbourn-Martirosyan-Trung-Walker fuse |
| 368 | 492543 | Colbourn-Martirosyan-Trung-Walker |
| 528 | 523263 | Colbourn-Martirosyan-Trung-Walker |
| 544 | 557296 | Colbourn-Martirosyan-Trung-Walker |
| 560 | 571502 | Colbourn-Martirosyan-Trung-Walker |
| 576 | 582300 | Colbourn-Martirosyan-Trung-Walker |
| 595 | 667009 | Colbourn-Martirosyan-Trung-Walker fuse |
| 598 | 688979 | Colbourn-Martirosyan-Trung-Walker |
| 612 | 691207 | Colbourn-Martirosyan-Trung-Walker |
| 640 | 719531 | Colbourn-Martirosyan-Trung-Walker |
| 867 | 720885 | Power N17^3Tlev |
| 4096 | 738046 | Colbourn-Martirosyan-Trung-Walker |
| 4112 | 749566 | Colbourn-Martirosyan-Trung-Walker |
| 4144 | 750078 | Colbourn-Martirosyan-Trung-Walker |
| 4336 | 753192 | Colbourn-Martirosyan-Trung-Walker |
| 4352 | 756378 | Colbourn-Martirosyan-Trung-Walker |
| 4913 | 786420 | Power N17^3 |
| 4976 | 966466 | Colbourn-Martirosyan-Trung-Walker |
| 5120 | 969892 | Colbourn-Martirosyan-Trung-Walker |
| 5202 | 982613 | Colbourn-Martirosyan-Trung-Walker fuse |
| 5296 | 1036589 | Colbourn-Martirosyan-Trung-Walker |
| 5376 | 1044975 | Colbourn-Martirosyan-Trung-Walker |
| 5632 | 1045200 | Colbourn-Martirosyan-Trung-Walker |
| 5744 | 1045875 | Colbourn-Martirosyan-Trung-Walker |
| 5776 | 1048343 | Colbourn-Martirosyan-Trung-Walker |
| 5872 | 1079063 | Colbourn-Martirosyan-Trung-Walker |
| 5888 | 1080309 | Colbourn-Martirosyan-Trung-Walker |
| 5936 | 1126779 | Colbourn-Martirosyan-Trung-Walker |
| 6064 | 1129295 | Colbourn-Martirosyan-Trung-Walker |
| 6512 | 1138353 | Colbourn-Martirosyan-Trung-Walker |
| 6704 | 1142355 | Colbourn-Martirosyan-Trung-Walker |
| 6896 | 1146429 | Colbourn-Martirosyan-Trung-Walker |
| 7024 | 1149185 | Colbourn-Martirosyan-Trung-Walker |
| 7088 | 1150575 | Colbourn-Martirosyan-Trung-Walker |
| 7168 | 1153379 | Colbourn-Martirosyan-Trung-Walker |
| 7216 | 1156754 | Colbourn-Martirosyan-Trung-Walker |
| 7408 | 1161020 | Colbourn-Martirosyan-Trung-Walker |
| 7424 | 1162458 | Colbourn-Martirosyan-Trung-Walker |
| 7472 | 1164438 | Colbourn-Martirosyan-Trung-Walker |
| 8448 | 1165038 | Colbourn-Martirosyan-Trung-Walker |
| 8464 | 1199071 | Colbourn-Martirosyan-Trung-Walker |
| 8704 | 1202911 | Colbourn-Martirosyan-Trung-Walker |
| 8960 | 1217117 | Colbourn-Martirosyan-Trung-Walker |
| 9216 | 1227915 | Colbourn-Martirosyan-Trung-Walker |
| 9826 | 1285786 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 1365146 | Colbourn-Martirosyan-Trung-Walker |