| k | N | Source |
| 14 | 2197 | orthogonal array |
| 15 | 3823 | orthogonal array fuse fuse fuse postop NCK |
| 16 | 3853 | orthogonal array fuse fuse fuse postop NCK |
| 17 | 3876 | orthogonal array fuse fuse fuse postop NCK |
| 18 | 3894 | 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 |
| 208 | 8485 | Colbourn-Martirosyan-Trung-Walker |
| 221 | 8508 | Colbourn-Martirosyan-Trung-Walker |
| 234 | 8526 | Colbourn-Martirosyan-Trung-Walker |
| 247 | 9001 | Colbourn-Martirosyan-Trung-Walker |
| 260 | 9145 | Colbourn-Martirosyan-Trung-Walker |
| 273 | 9289 | Colbourn-Martirosyan-Trung-Walker |
| 286 | 9397 | Colbourn-Martirosyan-Trung-Walker |
| 312 | 9505 | Colbourn-Martirosyan-Trung-Walker |
| 325 | 9613 | Colbourn-Martirosyan-Trung-Walker |
| 351 | 9625 | Colbourn-Martirosyan-Trung-Walker |
| 364 | 9637 | Colbourn-Martirosyan-Trung-Walker |
| 377 | 9901 | Colbourn-Martirosyan-Trung-Walker |
| 390 | 9997 | Colbourn-Martirosyan-Trung-Walker |
| 416 | 10021 | Colbourn-Martirosyan-Trung-Walker |
| 429 | 10117 | Colbourn-Martirosyan-Trung-Walker |
| 507 | 10213 | 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 | 12625 | Colbourn-Martirosyan-Trung-Walker |
| 2600 | 12937 | Colbourn-Martirosyan-Trung-Walker |
| 2800 | 14001 | Cohen-Colbourn-Ling |
| 2873 | 14880 | Colbourn-Martirosyan-Trung-Walker |
| 3042 | 15030 | Colbourn-Martirosyan-Trung-Walker |
| 3211 | 15505 | Colbourn-Martirosyan-Trung-Walker |
| 3263 | 15649 | Colbourn-Martirosyan-Trung-Walker |
| 3276 | 15781 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 15793 | Colbourn-Martirosyan-Trung-Walker |
| 3445 | 15937 | Colbourn-Martirosyan-Trung-Walker |
| 3458 | 16057 | Colbourn-Martirosyan-Trung-Walker |
| 3549 | 16081 | Colbourn-Martirosyan-Trung-Walker |
| 3627 | 16189 | Colbourn-Martirosyan-Trung-Walker |
| 3640 | 16201 | Colbourn-Martirosyan-Trung-Walker |
| 3666 | 16261 | Colbourn-Martirosyan-Trung-Walker |
| 3718 | 16333 | Colbourn-Martirosyan-Trung-Walker |
| 3809 | 16441 | Colbourn-Martirosyan-Trung-Walker |
| 3874 | 16477 | Colbourn-Martirosyan-Trung-Walker |
| 3952 | 16513 | Colbourn-Martirosyan-Trung-Walker |
| 4004 | 16549 | Colbourn-Martirosyan-Trung-Walker |
| 4056 | 16585 | Colbourn-Martirosyan-Trung-Walker |
| 4199 | 16693 | Colbourn-Martirosyan-Trung-Walker |
| 4225 | 16777 | Colbourn-Martirosyan-Trung-Walker |
| 4316 | 16789 | Colbourn-Martirosyan-Trung-Walker |
| 4433 | 16849 | Colbourn-Martirosyan-Trung-Walker |
| 4563 | 16897 | Colbourn-Martirosyan-Trung-Walker |
| 4719 | 16909 | Colbourn-Martirosyan-Trung-Walker |
| 4732 | 16921 | Colbourn-Martirosyan-Trung-Walker |
| 4901 | 17185 | Colbourn-Martirosyan-Trung-Walker |
| 4992 | 17281 | Colbourn-Martirosyan-Trung-Walker |
| 5070 | 17389 | Colbourn-Martirosyan-Trung-Walker |
| 5174 | 17413 | Colbourn-Martirosyan-Trung-Walker |
| 5356 | 17521 | Colbourn-Martirosyan-Trung-Walker |
| 5408 | 17533 | Colbourn-Martirosyan-Trung-Walker |
| 5577 | 17641 | Colbourn-Martirosyan-Trung-Walker |
| 5694 | 17737 | Colbourn-Martirosyan-Trung-Walker |
| 5876 | 17833 | Colbourn-Martirosyan-Trung-Walker |
| 6591 | 17917 | Colbourn-Martirosyan-Trung-Walker |
| 6643 | 18013 | Colbourn-Martirosyan-Trung-Walker |
| 9971 | 18109 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 18434 | Colbourn-Martirosyan-Trung-Walker |