| 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 | 322574 | Colbourn-Martirosyan-Trung-Walker |
| 289 | 402865 | Colbourn-Martirosyan-Trung-Walker |
| 306 | 412113 | Colbourn-Martirosyan-Trung-Walker |
| 323 | 489037 | Colbourn-Martirosyan-Trung-Walker |
| 340 | 507533 | Colbourn-Martirosyan-Trung-Walker |
| 391 | 620771 | Colbourn-Martirosyan-Trung-Walker |
| 425 | 630019 | Colbourn-Martirosyan-Trung-Walker |
| 595 | 667011 | Colbourn-Martirosyan-Trung-Walker |
| 612 | 712657 | Colbourn-Martirosyan-Trung-Walker |
| 646 | 820309 | Colbourn-Martirosyan-Trung-Walker |
| 663 | 820565 | Colbourn-Martirosyan-Trung-Walker |
| 680 | 836654 | Colbourn-Martirosyan-Trung-Walker |
| 867 | 918720 | Power N17^3Tlev |
| 4913 | 944161 | Colbourn-Martirosyan-Trung-Walker |
| 4930 | 971905 | Colbourn-Martirosyan-Trung-Walker |
| 5066 | 974229 | Colbourn-Martirosyan-Trung-Walker |
| 5202 | 982615 | Colbourn-Martirosyan-Trung-Walker |
| 5491 | 1106051 | Colbourn-Martirosyan-Trung-Walker |
| 5542 | 1124803 | Colbourn-Martirosyan-Trung-Walker |
| 5678 | 1127271 | Colbourn-Martirosyan-Trung-Walker |
| 5746 | 1128517 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 1131033 | Colbourn-Martirosyan-Trung-Walker |
| 5814 | 1257471 | Colbourn-Martirosyan-Trung-Walker |
| 5882 | 1287599 | Colbourn-Martirosyan-Trung-Walker |
| 6137 | 1296657 | Colbourn-Martirosyan-Trung-Walker |
| 6358 | 1333649 | Colbourn-Martirosyan-Trung-Walker |
| 6460 | 1337651 | Colbourn-Martirosyan-Trung-Walker |
| 6562 | 1367107 | Colbourn-Martirosyan-Trung-Walker |
| 6647 | 1371181 | Colbourn-Martirosyan-Trung-Walker |
| 6766 | 1380941 | Colbourn-Martirosyan-Trung-Walker |
| 6902 | 1383697 | Colbourn-Martirosyan-Trung-Walker |
| 6936 | 1385087 | Colbourn-Martirosyan-Trung-Walker |
| 6970 | 1385855 | Colbourn-Martirosyan-Trung-Walker |
| 7106 | 1388659 | Colbourn-Martirosyan-Trung-Walker |
| 7225 | 1392925 | Colbourn-Martirosyan-Trung-Walker |
| 7310 | 1430685 | Colbourn-Martirosyan-Trung-Walker |
| 7378 | 1432123 | Colbourn-Martirosyan-Trung-Walker |
| 7514 | 1436485 | Colbourn-Martirosyan-Trung-Walker |
| 7582 | 1436997 | Colbourn-Martirosyan-Trung-Walker |
| 7786 | 1441431 | Colbourn-Martirosyan-Trung-Walker |
| 7803 | 1445937 | Colbourn-Martirosyan-Trung-Walker |
| 7990 | 1446449 | Colbourn-Martirosyan-Trung-Walker |
| 8092 | 1449493 | Colbourn-Martirosyan-Trung-Walker |
| 8126 | 1449749 | Colbourn-Martirosyan-Trung-Walker |
| 8330 | 1454375 | Colbourn-Martirosyan-Trung-Walker |
| 8381 | 1460655 | Colbourn-Martirosyan-Trung-Walker |
| 8602 | 1460911 | Colbourn-Martirosyan-Trung-Walker |
| 8670 | 1464099 | Colbourn-Martirosyan-Trung-Walker |
| 8738 | 1468195 | Colbourn-Martirosyan-Trung-Walker |
| 8959 | 1474259 | Colbourn-Martirosyan-Trung-Walker |
| 8993 | 1478355 | Colbourn-Martirosyan-Trung-Walker |
| 9248 | 1496851 | Colbourn-Martirosyan-Trung-Walker |
| 9537 | 1500947 | Colbourn-Martirosyan-Trung-Walker |
| 9826 | 1504019 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 1509139 | Colbourn-Martirosyan-Trung-Walker |