| k | N | Source |
| 14 | 169 | orthogonal array |
| 20 | 246 | heuristic exchange (Nayeri-Colbourn) |
| 21 | 253 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 22 | 265 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 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 |
| 237 | 405 | CMMSSY 2.3 |
| 252 | 407 | CMMSSY 2.3 |
| 266 | 408 | CMMSSY 2.3 |
| 293 | 409 | CMMSSY 2.3 |
| 307 | 421 | CMMSSY 2.3 |
| 321 | 433 | CMMSSY 2.3 |
| 335 | 445 | CMMSSY 2.3 |
| 349 | 457 | CMMSSY 2.3 |
| 363 | 469 | CMMSSY 2.3 |
| 2717 | 481 | CMMSSY 2.3 |
| 2730 | 493 | CMMSSY 2.3 |
| 3302 | 561 | CMMSSY 2.3 |
| 3510 | 563 | CMMSSY 2.3 |
| 3705 | 564 | CMMSSY 2.3 |
| 4082 | 565 | CMMSSY 2.3 |
| 4277 | 577 | CMMSSY 2.3 |
| 4472 | 589 | CMMSSY 2.3 |
| 4667 | 601 | CMMSSY 2.3 |
| 4862 | 613 | CMMSSY 2.3 |
| 5057 | 625 | CMMSSY 2.3 |
| 20000 | 637 | CMMSSY 2.3 |