| k | N | Source |
| 7 | 144 | orthogonal array |
| 8 | 162 | simulated annealing (CKRS) |
| 9 | 163 | simulated annealing (CKRS) |
| 12 | 164 | simulated annealing (CKRS) |
| 14 | 165 | simulated annealing (CKRS) |
| 15 | 168 | projection (Colbourn) |
| 16 | 191 | double proj (Colbourn) postop NCK |
| 18 | 199 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 19 | 210 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 20 | 221 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 21 | 230 | projection (Colbourn) postop NCK |
| 22 | 243 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 23 | 251 | projection (Colbourn) postop NCK |
| 24 | 262 | double proj (Colbourn) fuse fuse postop NCK |
| 48 | 276 | CMMSSY 2.3 |
| 49 | 287 | CMMSSY 2.2 |
| 50 | 294 | CMMSSY 2.3 |
| 56 | 295 | CMMSSY 2.3 |
| 74 | 296 | CMMSSY 2.3 |
| 86 | 297 | CMMSSY 2.3 |
| 97 | 298 | CMMSSY 2.2 |
| 105 | 300 | CMMSSY 2.2 |
| 106 | 316 | CMMSSY 2.2 |
| 119 | 317 | CMMSSY 2.2 |
| 158 | 318 | CMMSSY 2.2 |
| 184 | 319 | CMMSSY 2.2 |
| 210 | 321 | CMMSSY 2.2 |
| 225 | 324 | CMMSSY 2.2 |
| 240 | 347 | CMMSSY 2.2 |
| 251 | 353 | CMMSSY 2.2 |
| 270 | 355 | CMMSSY 2.2 |
| 285 | 366 | CMMSSY 2.2 |
| 300 | 377 | CMMSSY 2.2 |
| 323 | 386 | CMMSSY 2.2 |
| 341 | 397 | CMMSSY 2.2 |
| 345 | 407 | CMMSSY 2.2 |
| 360 | 408 | CMMSSY 2.2 |
| 379 | 419 | CMMSSY 2.2 |
| 390 | 427 | CMMSSY 2.3 |
| 516 | 428 | CMMSSY 2.3 |
| 600 | 429 | CMMSSY 2.3 |
| 666 | 430 | CMMSSY 2.2 |
| 735 | 432 | CMMSSY 2.3 |
| 868 | 448 | CMMSSY 2.2 |
| 1012 | 449 | CMMSSY 2.2 |
| 1180 | 450 | CMMSSY 2.2 |
| 1202 | 451 | CMMSSY 2.2 |
| 1339 | 452 | CMMSSY 2.2 |
| 1470 | 453 | CMMSSY 2.3 |
| 1575 | 456 | CMMSSY 2.2 |
| 1680 | 471 | CMMSSY 2.2 |
| 2160 | 472 | CMMSSY 2.2 |
| 2520 | 473 | CMMSSY 2.2 |
| 2940 | 474 | CMMSSY 2.2 |
| 3150 | 477 | CMMSSY 2.2 |
| 3375 | 480 | CMMSSY 2.2 |
| 3600 | 503 | CMMSSY 2.2 |
| 3780 | 508 | CMMSSY 2.2 |
| 4050 | 511 | CMMSSY 2.2 |
| 4275 | 522 | CMMSSY 2.2 |
| 4500 | 533 | CMMSSY 2.2 |
| 4860 | 542 | CMMSSY 2.2 |
| 5130 | 553 | CMMSSY 2.2 |
| 5175 | 563 | CMMSSY 2.2 |
| 5415 | 564 | CMMSSY 2.2 |
| 5780 | 573 | CMMSSY 2.2 |
| 6360 | 581 | CMMSSY 2.2 |
| 7392 | 582 | CMMSSY 2.2 |
| 8316 | 583 | CMMSSY 2.2 |
| 9204 | 584 | CMMSSY 2.2 |
| 10080 | 585 | CMMSSY 2.3 |
| 10185 | 586 | CMMSSY 2.2 |
| 11025 | 588 | CMMSSY 2.2 |
| 11428 | 602 | CMMSSY 2.2 |
| 13324 | 603 | CMMSSY 2.2 |
| 15508 | 604 | CMMSSY 2.2 |
| 16718 | 605 | CMMSSY 2.2 |
| 18421 | 606 | CMMSSY 2.2 |
| 20000 | 607 | CMMSSY 2.2 |