| k | N | Source |
| 4 | 100 | orthogonal array |
| 6 | 102 | Incomplete Transversal Design |
| 7 | 113 | simulated annealing (CKRS) |
| 8 | 115 | simulated annealing (CKRS) |
| 11 | 116 | simulated annealing (CKRS) |
| 12 | 117 | simulated annealing (CKRS) |
| 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 | double proj (Colbourn) postop NCK |
| 18 | 155 | double proj (Colbourn) postop NCK |
| 19 | 159 | double proj (Colbourn) postop NCK |
| 20 | 162 | double proj (Colbourn) postop NCK |
| 21 | 171 | double proj (Colbourn) postop NCK |
| 22 | 181 | double proj (Colbourn) postop NCK |
| 23 | 190 | local opt (Bakun) |
| 24 | 192 | CMMSSY 2.2 |
| 35 | 194 | CMMSSY 2.3 |
| 36 | 203 | CMMSSY 2.2 |
| 37 | 205 | CMMSSY 2.3 |
| 44 | 206 | CMMSSY 2.2 |
| 48 | 207 | CMMSSY 2.2 |
| 57 | 208 | CMMSSY 2.3 |
| 62 | 209 | CMMSSY 2.3 |
| 71 | 210 | CMMSSY 2.2 |
| 78 | 212 | CMMSSY 2.2 |
| 79 | 221 | CMMSSY 2.2 |
| 91 | 223 | CMMSSY 2.2 |
| 123 | 224 | CMMSSY 2.2 |
| 134 | 225 | CMMSSY 2.2 |
| 143 | 226 | CMMSSY 2.2 |
| 156 | 227 | CMMSSY 2.2 |
| 169 | 230 | CMMSSY 2.2 |
| 182 | 236 | CMMSSY 2.2 |
| 195 | 246 | CMMSSY 2.2 |
| 196 | 251 | CMMSSY 2.2 |
| 198 | 252 | CMMSSY 2.2 |
| 208 | 255 | CMMSSY 2.2 |
| 212 | 261 | CMMSSY 2.2 |
| 224 | 262 | CMMSSY 2.2 |
| 234 | 265 | CMMSSY 2.2 |
| 247 | 269 | CMMSSY 2.2 |
| 260 | 272 | CMMSSY 2.2 |
| 273 | 281 | CMMSSY 2.2 |
| 280 | 287 | CMMSSY 2.2 |
| 282 | 288 | CMMSSY 2.2 |
| 286 | 291 | CMMSSY 2.2 |
| 287 | 294 | CMMSSY 2.2 |
| 294 | 296 | CMMSSY 2.2 |
| 302 | 297 | CMMSSY 2.2 |
| 340 | 300 | CMMSSY 2.3 |
| 370 | 301 | CMMSSY 2.3 |
| 415 | 302 | CMMSSY 2.2 |
| 468 | 304 | CMMSSY 2.3 |
| 609 | 314 | CMMSSY 2.2 |
| 664 | 315 | CMMSSY 2.2 |
| 724 | 316 | CMMSSY 2.2 |
| 742 | 317 | CMMSSY 2.2 |
| 858 | 318 | CMMSSY 2.3 |
| 936 | 319 | CMMSSY 2.3 |
| 1014 | 322 | CMMSSY 2.2 |
| 1092 | 328 | CMMSSY 2.3 |
| 1144 | 331 | CMMSSY 2.2 |
| 1573 | 332 | CMMSSY 2.2 |
| 1716 | 333 | CMMSSY 2.2 |
| 1872 | 334 | CMMSSY 2.2 |
| 2028 | 337 | CMMSSY 2.2 |
| 2197 | 340 | CMMSSY 2.2 |
| 2366 | 346 | CMMSSY 2.2 |
| 2548 | 352 | CMMSSY 2.2 |
| 2730 | 362 | CMMSSY 2.2 |
| 2912 | 371 | CMMSSY 2.2 |
| 2925 | 372 | CMMSSY 2.2 |
| 3042 | 375 | CMMSSY 2.2 |
| 3094 | 378 | CMMSSY 2.2 |
| 3211 | 379 | CMMSSY 2.2 |
| 3276 | 381 | CMMSSY 2.2 |
| 3380 | 382 | CMMSSY 2.2 |
| 3458 | 385 | CMMSSY 2.2 |
| 3640 | 388 | CMMSSY 2.2 |
| 3705 | 395 | CMMSSY 2.2 |
| 3822 | 397 | CMMSSY 2.2 |
| 3900 | 398 | CMMSSY 2.2 |
| 3952 | 404 | CMMSSY 2.2 |
| 4160 | 407 | CMMSSY 2.2 |
| 4380 | 409 | CMMSSY 2.2 |
| 5005 | 410 | CMMSSY 2.3 |
| 5460 | 411 | CMMSSY 2.3 |
| 5538 | 412 | CMMSSY 2.2 |
| 6084 | 414 | CMMSSY 2.2 |
| 6370 | 420 | CMMSSY 2.3 |
| 6809 | 422 | CMMSSY 2.2 |
| 7424 | 423 | CMMSSY 2.2 |
| 8151 | 424 | CMMSSY 2.2 |
| 8892 | 425 | CMMSSY 2.2 |
| 10153 | 426 | CMMSSY 2.2 |
| 11076 | 427 | CMMSSY 2.2 |
| 11154 | 428 | CMMSSY 2.2 |
| 12168 | 429 | CMMSSY 2.2 |
| 13182 | 432 | CMMSSY 2.2 |
| 14196 | 438 | CMMSSY 2.2 |
| 17589 | 440 | CMMSSY 2.2 |
| 18737 | 441 | CMMSSY 2.2 |
| 20000 | 442 | CMMSSY 2.2 |