| k | N | Source |
| 18 | 4096 | orthogonal array |
| 20 | 6674 | orthogonal array fuse fuse fuse postop NCK |
| 34 | 7936 | Chateauneuf-Kreher doubling |
| 36 | 8386 | Chateauneuf-Kreher doubling |
| 38 | 10994 | Chateauneuf-Kreher doubling |
| 272 | 11776 | Colbourn-Martirosyan-Trung-Walker |
| 288 | 12226 | Colbourn-Martirosyan-Trung-Walker |
| 306 | 14159 | Colbourn-Martirosyan-Trung-Walker fuse |
| 320 | 15644 | Colbourn-Martirosyan-Trung-Walker |
| 324 | 15914 | Cohen-Colbourn-Ling |
| 336 | 16936 | Colbourn-Martirosyan-Trung-Walker |
| 352 | 16966 | Colbourn-Martirosyan-Trung-Walker |
| 368 | 17026 | Colbourn-Martirosyan-Trung-Walker |
| 400 | 17416 | Colbourn-Martirosyan-Trung-Walker |
| 432 | 17866 | Colbourn-Martirosyan-Trung-Walker |
| 448 | 18091 | Colbourn-Martirosyan-Trung-Walker |
| 464 | 18316 | Colbourn-Martirosyan-Trung-Walker |
| 544 | 18406 | Colbourn-Martirosyan-Trung-Walker |
| 1154 | 18448 | Cyclotomy (Colbourn) |
| 1201 | 19216 | Cyclotomy (Colbourn) |
| 1362 | 21776 | Cyclotomy (Colbourn) |
| 1379 | 21992 | Power N-CT19^3T4T4T4T4T4T4T4 |
| 1409 | 22544 | Cyclotomy (Colbourn) |
| 4352 | 23056 | Colbourn-Martirosyan-Trung-Walker |
| 4608 | 23506 | Colbourn-Martirosyan-Trung-Walker |
| 4968 | 24570 | Power N-CT19^3Line(6) |
| 5238 | 27148 | Power N-CT19^3Line(5) |
| 5376 | 28936 | Colbourn-Martirosyan-Trung-Walker |
| 5488 | 28966 | Colbourn-Martirosyan-Trung-Walker |
| 5632 | 29191 | Colbourn-Martirosyan-Trung-Walker |
| 5760 | 29251 | Colbourn-Martirosyan-Trung-Walker |
| 5776 | 29266 | Colbourn-Martirosyan-Trung-Walker |
| 5888 | 29476 | Colbourn-Martirosyan-Trung-Walker |
| 6080 | 29866 | Colbourn-Martirosyan-Trung-Walker |
| 6192 | 30091 | Colbourn-Martirosyan-Trung-Walker |
| 6256 | 30106 | Colbourn-Martirosyan-Trung-Walker |
| 6272 | 30121 | Colbourn-Martirosyan-Trung-Walker |
| 6384 | 30136 | Colbourn-Martirosyan-Trung-Walker |
| 6400 | 30316 | Colbourn-Martirosyan-Trung-Walker |
| 6576 | 30766 | Colbourn-Martirosyan-Trung-Walker |
| 6672 | 30796 | Colbourn-Martirosyan-Trung-Walker |
| 6688 | 30826 | Colbourn-Martirosyan-Trung-Walker |
| 6720 | 30916 | Colbourn-Martirosyan-Trung-Walker |
| 6784 | 30946 | Colbourn-Martirosyan-Trung-Walker |
| 6816 | 30991 | Colbourn-Martirosyan-Trung-Walker |
| 6832 | 31006 | Colbourn-Martirosyan-Trung-Walker |
| 6912 | 31021 | Colbourn-Martirosyan-Trung-Walker |
| 6992 | 31246 | Colbourn-Martirosyan-Trung-Walker |
| 7008 | 31261 | Colbourn-Martirosyan-Trung-Walker |
| 7024 | 31276 | Colbourn-Martirosyan-Trung-Walker |
| 7168 | 31291 | Colbourn-Martirosyan-Trung-Walker |
| 7184 | 31516 | Colbourn-Martirosyan-Trung-Walker |
| 7248 | 31606 | Colbourn-Martirosyan-Trung-Walker |
| 7312 | 31636 | Colbourn-Martirosyan-Trung-Walker |
| 7376 | 31681 | Colbourn-Martirosyan-Trung-Walker |
| 7424 | 31726 | Colbourn-Martirosyan-Trung-Walker |
| 7440 | 31816 | Colbourn-Martirosyan-Trung-Walker |
| 7488 | 31936 | Colbourn-Martirosyan-Trung-Walker |
| 7600 | 31966 | Colbourn-Martirosyan-Trung-Walker |
| 7632 | 32011 | Colbourn-Martirosyan-Trung-Walker |
| 7728 | 32056 | Colbourn-Martirosyan-Trung-Walker |
| 7776 | 32206 | Colbourn-Martirosyan-Trung-Walker |
| 7824 | 32221 | Colbourn-Martirosyan-Trung-Walker |
| 7872 | 32236 | Colbourn-Martirosyan-Trung-Walker |
| 7936 | 32251 | Colbourn-Martirosyan-Trung-Walker |
| 8048 | 32266 | Colbourn-Martirosyan-Trung-Walker |
| 8080 | 32281 | Colbourn-Martirosyan-Trung-Walker |
| 8096 | 32296 | Colbourn-Martirosyan-Trung-Walker |
| 8192 | 32401 | Colbourn-Martirosyan-Trung-Walker |
| 8208 | 32416 | Colbourn-Martirosyan-Trung-Walker |
| 8240 | 32431 | Colbourn-Martirosyan-Trung-Walker |
| 8416 | 32446 | Colbourn-Martirosyan-Trung-Walker |
| 8704 | 32476 | Colbourn-Martirosyan-Trung-Walker |
| 9632 | 32518 | Colbourn-Martirosyan-Trung-Walker |
| 9792 | 32713 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 32760 | Power N-CT19^4S8 |