| k | N | Source |
| 4 | 100 | orthogonal array |
| 6 | 101 | simulated annealing (Cohen) |
| 12 | 118 | orthogonal array |
| 13 | 120 | projection (Colbourn) |
| 14 | 126 | Lobb |
| 15 | 136 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 16 | 145 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 17 | 152 | heuristic exchange (Nayeri-Colbourn) |
| 18 | 155 | heuristic exchange (Nayeri-Colbourn) |
| 19 | 159 | heuristic exchange (Nayeri-Colbourn) |
| 20 | 162 | heuristic exchange (Nayeri-Colbourn) |
| 21 | 171 | heuristic exchange (Nayeri-Colbourn) |
| 22 | 184 | heuristic exchange (Nayeri-Colbourn) |
| 24 | 191 | CMMSSY 2.2 |
| 35 | 192 | CMMSSY 2.3 |
| 36 | 201 | CMMSSY 2.2 |
| 48 | 208 | CMMSSY 2.2 |
| 71 | 209 | CMMSSY 2.3 |
| 78 | 211 | CMMSSY 2.2 |
| 143 | 226 | CMMSSY 2.2 |
| 156 | 228 | CMMSSY 2.2 |
| 169 | 230 | CMMSSY 2.2 |
| 182 | 236 | CMMSSY 2.2 |
| 195 | 246 | CMMSSY 2.2 |
| 197 | 252 | CMMSSY 2.2 |
| 208 | 255 | CMMSSY 2.2 |
| 211 | 261 | CMMSSY 2.2 |
| 224 | 262 | CMMSSY 2.2 |
| 234 | 265 | CMMSSY 2.2 |
| 247 | 269 | CMMSSY 2.2 |
| 260 | 272 | CMMSSY 2.2 |
| 267 | 285 | CMMSSY 2.2 |
| 281 | 288 | CMMSSY 2.2 |
| 286 | 294 | CMMSSY 2.2 |
| 301 | 297 | CMMSSY 2.2 |
| 415 | 300 | CMMSSY 2.3 |
| 468 | 302 | CMMSSY 2.3 |
| 572 | 316 | CMMSSY 2.2 |
| 841 | 317 | CMMSSY 2.2 |
| 936 | 319 | CMMSSY 2.2 |
| 1014 | 321 | CMMSSY 2.2 |
| 1092 | 327 | CMMSSY 2.2 |
| 1694 | 334 | CMMSSY 2.2 |
| 1872 | 336 | CMMSSY 2.2 |
| 2028 | 338 | CMMSSY 2.2 |
| 2197 | 340 | CMMSSY 2.2 |
| 2366 | 346 | CMMSSY 2.2 |
| 2535 | 356 | CMMSSY 2.2 |
| 2730 | 362 | CMMSSY 2.2 |
| 2912 | 371 | CMMSSY 2.2 |
| 2925 | 372 | CMMSSY 2.2 |
| 3042 | 375 | CMMSSY 2.2 |
| 3211 | 379 | CMMSSY 2.2 |
| 3380 | 382 | CMMSSY 2.2 |
| 3510 | 391 | CMMSSY 2.2 |
| 3705 | 395 | CMMSSY 2.2 |
| 3900 | 398 | CMMSSY 2.2 |
| 3952 | 404 | CMMSSY 2.2 |
| 4160 | 407 | CMMSSY 2.2 |
| 4920 | 408 | CMMSSY 2.2 |
| 5538 | 410 | CMMSSY 2.3 |
| 6084 | 412 | CMMSSY 2.2 |
| 6370 | 418 | CMMSSY 2.2 |
| 6776 | 424 | CMMSSY 2.2 |
| 9911 | 425 | CMMSSY 2.2 |
| 11154 | 427 | CMMSSY 2.2 |
| 12168 | 429 | CMMSSY 2.2 |
| 13182 | 431 | CMMSSY 2.2 |
| 14196 | 437 | CMMSSY 2.2 |
| 19965 | 442 | CMMSSY 2.2 |
| 20000 | 444 | CMMSSY 2.2 |