| k | N | Source |
| 18 | 83521 | orthogonal array |
| 20 | 130319 | fuse symbols |
| 21 | 227151 | extend by one factor |
| 34 | 240721 | Colbourn-Martirosyan-Trung-Walker |
| 36 | 245345 | Colbourn-Martirosyan-Trung-Walker |
| 40 | 323520 | Colbourn-Martirosyan-Trung-Walker |
| 289 | 402865 | Colbourn-Martirosyan-Trung-Walker |
| 306 | 412113 | Colbourn-Martirosyan-Trung-Walker |
| 323 | 489983 | Colbourn-Martirosyan-Trung-Walker |
| 340 | 508479 | Colbourn-Martirosyan-Trung-Walker |
| 361 | 631025 | fuse symbols |
| 380 | 657017 | fuse symbols |
| 391 | 661793 | Colbourn-Martirosyan-Trung-Walker |
| 425 | 671041 | Colbourn-Martirosyan-Trung-Walker |
| 578 | 708033 | Colbourn-Martirosyan-Trung-Walker |
| 612 | 712657 | Colbourn-Martirosyan-Trung-Walker |
| 680 | 839056 | Colbourn-Martirosyan-Trung-Walker |
| 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 | 1108709 | Colbourn-Martirosyan-Trung-Walker |
| 5542 | 1127205 | Colbourn-Martirosyan-Trung-Walker |
| 5678 | 1129673 | Colbourn-Martirosyan-Trung-Walker |
| 5746 | 1130919 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 1133435 | Colbourn-Martirosyan-Trung-Walker |
| 5814 | 1267725 | Colbourn-Martirosyan-Trung-Walker |
| 5882 | 1298797 | Colbourn-Martirosyan-Trung-Walker |
| 6137 | 1307855 | Colbourn-Martirosyan-Trung-Walker |
| 6358 | 1370839 | Colbourn-Martirosyan-Trung-Walker |
| 6460 | 1374841 | Colbourn-Martirosyan-Trung-Walker |
| 6562 | 1415809 | Colbourn-Martirosyan-Trung-Walker |
| 6647 | 1419883 | Colbourn-Martirosyan-Trung-Walker |
| 6766 | 1429131 | Colbourn-Martirosyan-Trung-Walker |
| 6902 | 1431887 | Colbourn-Martirosyan-Trung-Walker |
| 6970 | 1433277 | Colbourn-Martirosyan-Trung-Walker |
| 7106 | 1436081 | Colbourn-Martirosyan-Trung-Walker |
| 7225 | 1440347 | Colbourn-Martirosyan-Trung-Walker |
| 7310 | 1477339 | Colbourn-Martirosyan-Trung-Walker |
| 7378 | 1478777 | Colbourn-Martirosyan-Trung-Walker |
| 7582 | 1483139 | Colbourn-Martirosyan-Trung-Walker |
| 7786 | 1487573 | Colbourn-Martirosyan-Trung-Walker |
| 7990 | 1492079 | Colbourn-Martirosyan-Trung-Walker |
| 8126 | 1495123 | Colbourn-Martirosyan-Trung-Walker |
| 8330 | 1499749 | Colbourn-Martirosyan-Trung-Walker |
| 8602 | 1506029 | Colbourn-Martirosyan-Trung-Walker |
| 8738 | 1509217 | Colbourn-Martirosyan-Trung-Walker |
| 8959 | 1515281 | Colbourn-Martirosyan-Trung-Walker |
| 8993 | 1519377 | Colbourn-Martirosyan-Trung-Walker |
| 9248 | 1537873 | Colbourn-Martirosyan-Trung-Walker |
| 9537 | 1541969 | Colbourn-Martirosyan-Trung-Walker |
| 9826 | 1546065 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 1554785 | Colbourn-Martirosyan-Trung-Walker |