| k | N | Source |
| 14 | 169 | orthogonal array |
| 15 | 235 | orthogonal array fuse fuse fuse postop NCK |
| 17 | 236 | orthogonal array fuse fuse fuse postop NCK |
| 18 | 237 | projection (Colbourn) fuse fuse postop NCK |
| 19 | 240 | projection (Colbourn) fuse postop NCK |
| 20 | 244 | projection (Colbourn) postop NCK |
| 21 | 253 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 22 | 264 | projection (Colbourn) postop NCK |
| 23 | 277 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 24 | 289 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 25 | 301 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 26 | 313 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 195 | 325 | CMMSSY 2.3 |
| 196 | 337 | CMMSSY 2.3 |
| 197 | 391 | CMMSSY 2.3 |
| 223 | 392 | CMMSSY 2.3 |
| 236 | 393 | CMMSSY 2.3 |
| 249 | 396 | CMMSSY 2.3 |
| 262 | 400 | CMMSSY 2.3 |
| 266 | 408 | CMMSSY 2.3 |
| 293 | 409 | CMMSSY 2.3 |
| 307 | 421 | CMMSSY 2.3 |
| 308 | 432 | CMMSSY 2.3 |
| 321 | 433 | CMMSSY 2.3 |
| 335 | 445 | CMMSSY 2.3 |
| 349 | 457 | CMMSSY 2.3 |
| 363 | 469 | CMMSSY 2.3 |
| 382 | 480 | CMMSSY 2.2 |
| 2717 | 481 | CMMSSY 2.3 |
| 2730 | 493 | CMMSSY 2.3 |
| 2744 | 505 | CMMSSY 2.2 |
| 2756 | 547 | CMMSSY 2.3 |
| 3120 | 548 | CMMSSY 2.3 |
| 3302 | 549 | CMMSSY 2.3 |
| 3484 | 552 | CMMSSY 2.3 |
| 3666 | 556 | CMMSSY 2.3 |
| 3705 | 564 | CMMSSY 2.3 |
| 4082 | 565 | CMMSSY 2.3 |
| 4277 | 577 | CMMSSY 2.3 |
| 4290 | 588 | CMMSSY 2.3 |
| 4472 | 589 | CMMSSY 2.3 |
| 4667 | 601 | CMMSSY 2.3 |
| 4862 | 613 | CMMSSY 2.3 |
| 5057 | 625 | CMMSSY 2.3 |
| 5204 | 631 | CMMSSY 2.2 |
| 5320 | 636 | CMMSSY 2.3 |
| 20000 | 637 | CMMSSY 2.2 |