| k | N | Source |
| 14 | 2197 | orthogonal array |
| 18 | 3912 | orthogonal array fuse fuse fuse postop NCK |
| 28 | 4225 | Chateauneuf-Kreher doubling |
| 59 | 4381 | Sherwood-Martirosyan-Colbourn |
| 182 | 6253 | Colbourn-Martirosyan-Trung-Walker |
| 200 | 6565 | Sherwood-Martirosyan-Colbourn |
| 201 | 8593 | Add a factor |
| 221 | 8772 | Colbourn-Martirosyan-Trung-Walker |
| 234 | 8784 | Colbourn-Martirosyan-Trung-Walker |
| 247 | 9133 | Colbourn-Martirosyan-Trung-Walker |
| 260 | 9181 | Colbourn-Martirosyan-Trung-Walker |
| 273 | 9289 | Colbourn-Martirosyan-Trung-Walker |
| 286 | 9421 | Colbourn-Martirosyan-Trung-Walker |
| 299 | 9577 | Colbourn-Martirosyan-Trung-Walker |
| 312 | 9721 | Colbourn-Martirosyan-Trung-Walker |
| 325 | 9865 | Colbourn-Martirosyan-Trung-Walker |
| 338 | 10009 | Colbourn-Martirosyan-Trung-Walker |
| 364 | 10153 | Colbourn-Martirosyan-Trung-Walker |
| 767 | 10309 | Colbourn-Martirosyan-Trung-Walker |
| 826 | 10634 | Cohen-Colbourn-Ling |
| 2366 | 12181 | Colbourn-Martirosyan-Trung-Walker |
| 2535 | 12493 | Colbourn-Martirosyan-Trung-Walker |
| 2548 | 12637 | Colbourn-Martirosyan-Trung-Walker |
| 2561 | 13285 | Colbourn-Martirosyan-Trung-Walker |
| 2600 | 13297 | Colbourn-Martirosyan-Trung-Walker |
| 2800 | 14846 | Cohen-Colbourn-Ling |
| 2873 | 15504 | Colbourn-Martirosyan-Trung-Walker |
| 2899 | 15516 | Colbourn-Martirosyan-Trung-Walker |
| 3042 | 15528 | Colbourn-Martirosyan-Trung-Walker |
| 3068 | 15877 | Colbourn-Martirosyan-Trung-Walker |
| 3211 | 15913 | Colbourn-Martirosyan-Trung-Walker |
| 3237 | 15961 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 16009 | Colbourn-Martirosyan-Trung-Walker |
| 3406 | 16117 | Colbourn-Martirosyan-Trung-Walker |
| 3458 | 16213 | Colbourn-Martirosyan-Trung-Walker |
| 3549 | 16225 | Colbourn-Martirosyan-Trung-Walker |
| 3718 | 16357 | Colbourn-Martirosyan-Trung-Walker |
| 3809 | 16513 | Colbourn-Martirosyan-Trung-Walker |
| 3887 | 16657 | Colbourn-Martirosyan-Trung-Walker |
| 3991 | 16801 | Colbourn-Martirosyan-Trung-Walker |
| 4004 | 16933 | Colbourn-Martirosyan-Trung-Walker |
| 4056 | 16945 | Colbourn-Martirosyan-Trung-Walker |
| 4173 | 17089 | Colbourn-Martirosyan-Trung-Walker |
| 4225 | 17233 | Colbourn-Martirosyan-Trung-Walker |
| 4355 | 17377 | Colbourn-Martirosyan-Trung-Walker |
| 4394 | 17521 | Colbourn-Martirosyan-Trung-Walker |
| 4537 | 17665 | Colbourn-Martirosyan-Trung-Walker |
| 4719 | 17809 | Colbourn-Martirosyan-Trung-Walker |
| 4732 | 17941 | Colbourn-Martirosyan-Trung-Walker |
| 4966 | 18097 | Colbourn-Martirosyan-Trung-Walker |
| 9971 | 18109 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 18434 | Colbourn-Martirosyan-Trung-Walker |