| k | N | Source |
| 18 | 83521 | orthogonal array |
| 20 | 130317 | orthogonal array fuse fuse |
| 35 | 199699 | Derive from strength 5 |
| 36 | 245345 | Colbourn-Martirosyan-Trung-Walker |
| 39 | 306485 | Derive from strength 5 fuse fuse |
| 40 | 322237 | Colbourn-Martirosyan-Trung-Walker |
| 51 | 328593 | Colbourn-Martirosyan-Trung-Walker |
| 54 | 397137 | Colbourn-Martirosyan-Trung-Walker |
| 289 | 402577 | Colbourn-Martirosyan-Trung-Walker |
| 306 | 467313 | Colbourn-Martirosyan-Trung-Walker |
| 323 | 543997 | Colbourn-Martirosyan-Trung-Walker |
| 340 | 544189 | Colbourn-Martirosyan-Trung-Walker |
| 361 | 630663 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 510 | 657475 | Colbourn-Martirosyan-Trung-Walker |
| 544 | 662099 | Colbourn-Martirosyan-Trung-Walker |
| 595 | 666723 | Colbourn-Martirosyan-Trung-Walker |
| 612 | 712369 | Colbourn-Martirosyan-Trung-Walker |
| 630 | 809716 | Colbourn-Martirosyan-Trung-Walker |
| 646 | 819269 | Colbourn-Martirosyan-Trung-Walker |
| 663 | 819717 | Colbourn-Martirosyan-Trung-Walker |
| 680 | 835469 | Colbourn-Martirosyan-Trung-Walker |
| 867 | 869601 | Colbourn-Martirosyan-Trung-Walker |
| 918 | 938145 | Colbourn-Martirosyan-Trung-Walker |
| 4913 | 943585 | Colbourn-Martirosyan-Trung-Walker |
| 4914 | 1002240 | Power N-CT17^3+1 |
| 4930 | 1073344 | Colbourn-Martirosyan-Trung-Walker |
| 4981 | 1075377 | Colbourn-Martirosyan-Trung-Walker |
| 4998 | 1075664 | Colbourn-Martirosyan-Trung-Walker |
| 5066 | 1075669 | Colbourn-Martirosyan-Trung-Walker |
| 5202 | 1083749 | Colbourn-Martirosyan-Trung-Walker |
| 5219 | 1206193 | Colbourn-Martirosyan-Trung-Walker |
| 5236 | 1206480 | Colbourn-Martirosyan-Trung-Walker |
| 5491 | 1206499 | Colbourn-Martirosyan-Trung-Walker |
| 5542 | 1207139 | Colbourn-Martirosyan-Trung-Walker |
| 5678 | 1209607 | Colbourn-Martirosyan-Trung-Walker |
| 5746 | 1210853 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 1213369 | Colbourn-Martirosyan-Trung-Walker |
| 5882 | 1344259 | Colbourn-Martirosyan-Trung-Walker |
| 6069 | 1353317 | Colbourn-Martirosyan-Trung-Walker |
| 6137 | 1353717 | Colbourn-Martirosyan-Trung-Walker |
| 6358 | 1380529 | Colbourn-Martirosyan-Trung-Walker |
| 6460 | 1384531 | Colbourn-Martirosyan-Trung-Walker |
| 6562 | 1412547 | Colbourn-Martirosyan-Trung-Walker |
| 6647 | 1416621 | Colbourn-Martirosyan-Trung-Walker |
| 6766 | 1417133 | Colbourn-Martirosyan-Trung-Walker |
| 6902 | 1419889 | Colbourn-Martirosyan-Trung-Walker |
| 6936 | 1421279 | Colbourn-Martirosyan-Trung-Walker |
| 6970 | 1421791 | Colbourn-Martirosyan-Trung-Walker |
| 7106 | 1424595 | Colbourn-Martirosyan-Trung-Walker |
| 7225 | 1428861 | Colbourn-Martirosyan-Trung-Walker |
| 7310 | 1429373 | Colbourn-Martirosyan-Trung-Walker |
| 7378 | 1430811 | Colbourn-Martirosyan-Trung-Walker |
| 7514 | 1435173 | Colbourn-Martirosyan-Trung-Walker |
| 7582 | 1435685 | Colbourn-Martirosyan-Trung-Walker |
| 7786 | 1440119 | Colbourn-Martirosyan-Trung-Walker |
| 7803 | 1444625 | Colbourn-Martirosyan-Trung-Walker |
| 7990 | 1444881 | Colbourn-Martirosyan-Trung-Walker |
| 8092 | 1447925 | Colbourn-Martirosyan-Trung-Walker |
| 8126 | 1448693 | Colbourn-Martirosyan-Trung-Walker |
| 8330 | 1453319 | Colbourn-Martirosyan-Trung-Walker |
| 8381 | 1459599 | Colbourn-Martirosyan-Trung-Walker |
| 8602 | 1460111 | Colbourn-Martirosyan-Trung-Walker |
| 8670 | 1463299 | Colbourn-Martirosyan-Trung-Walker |
| 8738 | 1477155 | Colbourn-Martirosyan-Trung-Walker |
| 8959 | 1482931 | Colbourn-Martirosyan-Trung-Walker |
| 9248 | 1487027 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 1497299 | Colbourn-Martirosyan-Trung-Walker |