| k | N | Source |
| 12 | 121 | orthogonal array |
| 16 | 161 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 17 | 171 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 18 | 180 | heuristic exchange (Nayeri-Colbourn) |
| 19 | 191 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 20 | 201 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 21 | 211 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 22 | 221 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 24 | 229 | density (Ronneseth) |
| 143 | 231 | CMMSSY 2.3 |
| 144 | 241 | CMMSSY 2.3 |
| 191 | 271 | CMMSSY 2.3 |
| 192 | 277 | CMMSSY 2.2 |
| 203 | 281 | CMMSSY 2.3 |
| 215 | 291 | CMMSSY 2.3 |
| 227 | 301 | CMMSSY 2.3 |
| 255 | 311 | CMMSSY 2.2 |
| 256 | 317 | CMMSSY 2.2 |
| 271 | 321 | CMMSSY 2.2 |
| 272 | 327 | CMMSSY 2.2 |
| 288 | 331 | CMMSSY 2.2 |
| 1705 | 341 | CMMSSY 2.3 |
| 1716 | 351 | CMMSSY 2.3 |
| 2277 | 381 | CMMSSY 2.3 |
| 2304 | 387 | CMMSSY 2.3 |
| 2420 | 391 | CMMSSY 2.3 |
| 2563 | 401 | CMMSSY 2.3 |
| 2706 | 411 | CMMSSY 2.3 |
| 3041 | 421 | CMMSSY 2.2 |
| 3072 | 427 | CMMSSY 2.2 |
| 3232 | 431 | CMMSSY 2.2 |
| 3264 | 437 | CMMSSY 2.2 |
| 3435 | 441 | CMMSSY 2.2 |
| 3456 | 447 | CMMSSY 2.2 |
| 20000 | 451 | CMMSSY 2.3 |