| 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 | 210239 | Colbourn-Martirosyan-Trung-Walker |
| 48 | 257536 | Colbourn-Martirosyan-Trung-Walker |
| 51 | 306496 | Colbourn-Martirosyan-Trung-Walker |
| 256 | 315136 | Colbourn-Martirosyan-Trung-Walker |
| 272 | 361216 | Colbourn-Martirosyan-Trung-Walker |
| 288 | 379199 | Colbourn-Martirosyan-Trung-Walker |
| 289 | 402575 | Colbourn-Martirosyan-Trung-Walker fuse |
| 306 | 435465 | Colbourn-Martirosyan-Trung-Walker |
| 320 | 464665 | Colbourn-Martirosyan-Trung-Walker |
| 324 | 471397 | Colbourn-Martirosyan-Trung-Walker |
| 432 | 511488 | Colbourn-Martirosyan-Trung-Walker |
| 464 | 515328 | Colbourn-Martirosyan-Trung-Walker |
| 480 | 519168 | Colbourn-Martirosyan-Trung-Walker |
| 528 | 523008 | Colbourn-Martirosyan-Trung-Walker |
| 544 | 557041 | Colbourn-Martirosyan-Trung-Walker |
| 560 | 571247 | Colbourn-Martirosyan-Trung-Walker |
| 576 | 581789 | Colbourn-Martirosyan-Trung-Walker |
| 578 | 660152 | Colbourn-Martirosyan-Trung-Walker |
| 594 | 662051 | Colbourn-Martirosyan-Trung-Walker |
| 595 | 666721 | Colbourn-Martirosyan-Trung-Walker fuse |
| 608 | 668206 | Colbourn-Martirosyan-Trung-Walker |
| 768 | 679936 | Colbourn-Martirosyan-Trung-Walker |
| 867 | 720885 | Power N-CT17^3Tlev |
| 4096 | 737536 | Colbourn-Martirosyan-Trung-Walker |
| 4913 | 786420 | Power N-CT17^3 |
| 4914 | 966900 | Add a factor |
| 4976 | 1005946 | Colbourn-Martirosyan-Trung-Walker |
| 5120 | 1009372 | Colbourn-Martirosyan-Trung-Walker |
| 5168 | 1020154 | Colbourn-Martirosyan-Trung-Walker |
| 5184 | 1022478 | Colbourn-Martirosyan-Trung-Walker |
| 5296 | 1077899 | Colbourn-Martirosyan-Trung-Walker |
| 5376 | 1086285 | Colbourn-Martirosyan-Trung-Walker |
| 5632 | 1086735 | Colbourn-Martirosyan-Trung-Walker |
| 5744 | 1087635 | Colbourn-Martirosyan-Trung-Walker |
| 5872 | 1090103 | Colbourn-Martirosyan-Trung-Walker |
| 5888 | 1091349 | Colbourn-Martirosyan-Trung-Walker |
| 5936 | 1097199 | Colbourn-Martirosyan-Trung-Walker |
| 6064 | 1099715 | Colbourn-Martirosyan-Trung-Walker |
| 6400 | 1108773 | Colbourn-Martirosyan-Trung-Walker |
| 6512 | 1115523 | Colbourn-Martirosyan-Trung-Walker |
| 6704 | 1119525 | Colbourn-Martirosyan-Trung-Walker |
| 6896 | 1123599 | Colbourn-Martirosyan-Trung-Walker |
| 6912 | 1126355 | Colbourn-Martirosyan-Trung-Walker |
| 7024 | 1137410 | Colbourn-Martirosyan-Trung-Walker |
| 7088 | 1138800 | Colbourn-Martirosyan-Trung-Walker |
| 7168 | 1141604 | Colbourn-Martirosyan-Trung-Walker |
| 7216 | 1144979 | Colbourn-Martirosyan-Trung-Walker |
| 7408 | 1149245 | Colbourn-Martirosyan-Trung-Walker |
| 7424 | 1150683 | Colbourn-Martirosyan-Trung-Walker |
| 7472 | 1159713 | Colbourn-Martirosyan-Trung-Walker |
| 7680 | 1160058 | Colbourn-Martirosyan-Trung-Walker |
| 8448 | 1167738 | Colbourn-Martirosyan-Trung-Walker |
| 8704 | 1201771 | Colbourn-Martirosyan-Trung-Walker |
| 8960 | 1216607 | Colbourn-Martirosyan-Trung-Walker |
| 9216 | 1227149 | Colbourn-Martirosyan-Trung-Walker |
| 9826 | 1285530 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 1325296 | Colbourn-Martirosyan-Trung-Walker |