| k | N | Source |
| 5 | 196 | orthogonal array |
| 6 | 222 | fuse symbols |
| 17 | 251 | orthogonal array |
| 19 | 253 | heuristic exchange (Nayeri-Colbourn) |
| 21 | 279 | heuristic exchange (Nayeri-Colbourn) |
| 23 | 300 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 24 | 310 | heuristic exchange (Nayeri-Colbourn) |
| 25 | 326 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 26 | 339 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 27 | 352 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 28 | 365 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 29 | 378 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 30 | 391 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 31 | 404 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 32 | 417 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 36 | 430 | CMMSSY 2.2 |
| 85 | 433 | CMMSSY 2.2 |
| 90 | 435 | CMMSSY 2.2 |
| 95 | 436 | CMMSSY 2.2 |
| 102 | 459 | CMMSSY 2.2 |
| 108 | 461 | CMMSSY 2.2 |
| 114 | 462 | CMMSSY 2.2 |
| 115 | 482 | CMMSSY 2.2 |
| 288 | 488 | CMMSSY 2.2 |
| 306 | 490 | CMMSSY 2.2 |
| 323 | 491 | CMMSSY 2.2 |
| 324 | 492 | CMMSSY 2.2 |
| 342 | 493 | CMMSSY 2.2 |
| 361 | 494 | CMMSSY 2.2 |
| 380 | 525 | CMMSSY 2.2 |
| 399 | 526 | CMMSSY 2.2 |
| 414 | 539 | CMMSSY 2.2 |
| 437 | 540 | CMMSSY 2.2 |
| 456 | 553 | CMMSSY 2.2 |
| 475 | 566 | CMMSSY 2.2 |
| 483 | 572 | CMMSSY 2.2 |
| 494 | 579 | CMMSSY 2.2 |
| 504 | 585 | CMMSSY 2.2 |
| 528 | 586 | CMMSSY 2.2 |
| 551 | 599 | CMMSSY 2.2 |
| 575 | 612 | CMMSSY 2.2 |
| 599 | 625 | CMMSSY 2.2 |
| 624 | 638 | CMMSSY 2.2 |
| 649 | 651 | CMMSSY 2.2 |
| 675 | 664 | CMMSSY 2.2 |
| 1440 | 670 | CMMSSY 2.2 |
| 1530 | 672 | CMMSSY 2.2 |
| 1615 | 673 | CMMSSY 2.2 |
| 1620 | 674 | CMMSSY 2.2 |
| 1710 | 675 | CMMSSY 2.2 |
| 1805 | 676 | CMMSSY 2.2 |
| 1836 | 698 | CMMSSY 2.2 |
| 1938 | 699 | CMMSSY 2.2 |
| 1944 | 700 | CMMSSY 2.2 |
| 2052 | 701 | CMMSSY 2.2 |
| 2166 | 702 | CMMSSY 2.2 |
| 2185 | 722 | CMMSSY 2.2 |
| 4864 | 725 | CMMSSY 2.2 |
| 5184 | 727 | CMMSSY 2.2 |
| 5491 | 728 | CMMSSY 2.2 |
| 5508 | 729 | CMMSSY 2.2 |
| 5814 | 730 | CMMSSY 2.2 |
| 6137 | 731 | CMMSSY 2.2 |
| 6156 | 732 | CMMSSY 2.2 |
| 6498 | 733 | CMMSSY 2.2 |
| 6859 | 734 | CMMSSY 2.2 |
| 7220 | 765 | CMMSSY 2.2 |
| 7581 | 766 | CMMSSY 2.2 |
| 7866 | 779 | CMMSSY 2.2 |
| 8303 | 780 | CMMSSY 2.2 |
| 8664 | 793 | CMMSSY 2.2 |
| 9025 | 806 | CMMSSY 2.2 |
| 9177 | 812 | CMMSSY 2.2 |
| 9386 | 819 | CMMSSY 2.2 |
| 9576 | 825 | CMMSSY 2.2 |
| 10051 | 826 | CMMSSY 2.2 |
| 10488 | 839 | CMMSSY 2.2 |
| 10944 | 852 | CMMSSY 2.2 |
| 11109 | 858 | CMMSSY 2.2 |
| 11400 | 865 | CMMSSY 2.2 |
| 11592 | 871 | CMMSSY 2.2 |
| 12100 | 872 | CMMSSY 2.2 |
| 12628 | 885 | CMMSSY 2.2 |
| 13179 | 898 | CMMSSY 2.2 |
| 20000 | 907 | CMMSSY 2.2 |