| k | N | Source |
| 9 | 64 | orthogonal array |
| 10 | 72 | Lobb |
| 11 | 78 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 12 | 85 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 13 | 92 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 14 | 99 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 15 | 106 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 16 | 110 | tabu search (Zekaoui) |
| 17 | 111 | simulated annealing (Cohen) |
| 18 | 115 | simulated annealing (Cohen) |
| 19 | 117 | simulated annealing (Cohen) |
| 80 | 120 | CMMSSY 2.3 |
| 81 | 127 | CMMSSY 2.3 |
| 90 | 134 | CMMSSY 2.3 |
| 99 | 136 | CMMSSY 2.2 |
| 107 | 141 | CMMSSY 2.3 |
| 116 | 148 | CMMSSY 2.3 |
| 121 | 150 | CMMSSY 2.2 |
| 125 | 155 | CMMSSY 2.3 |
| 132 | 157 | CMMSSY 2.2 |
| 143 | 162 | CMMSSY 2.2 |
| 151 | 167 | CMMSSY 2.3 |
| 155 | 169 | CMMSSY 2.2 |
| 160 | 171 | CMMSSY 2.3 |
| 170 | 173 | CMMSSY 2.3 |
| 712 | 176 | CMMSSY 2.3 |
| 720 | 183 | CMMSSY 2.3 |
| 808 | 190 | CMMSSY 2.3 |
| 891 | 192 | CMMSSY 2.3 |
| 952 | 197 | CMMSSY 2.3 |
| 1032 | 204 | CMMSSY 2.3 |
| 1089 | 206 | CMMSSY 2.3 |
| 1112 | 211 | CMMSSY 2.3 |
| 1188 | 213 | CMMSSY 2.2 |
| 1273 | 218 | CMMSSY 2.2 |
| 1331 | 220 | CMMSSY 2.2 |
| 1344 | 223 | CMMSSY 2.3 |
| 1380 | 225 | CMMSSY 2.2 |
| 1452 | 227 | CMMSSY 2.2 |
| 1512 | 229 | CMMSSY 2.3 |
| 6336 | 232 | CMMSSY 2.3 |
| 6408 | 239 | CMMSSY 2.3 |
| 7184 | 246 | CMMSSY 2.3 |
| 7920 | 248 | CMMSSY 2.3 |
| 8472 | 253 | CMMSSY 2.3 |
| 9184 | 260 | CMMSSY 2.3 |
| 9680 | 262 | CMMSSY 2.3 |
| 9801 | 264 | CMMSSY 2.2 |
| 9896 | 267 | CMMSSY 2.3 |
| 10593 | 269 | CMMSSY 2.3 |
| 11328 | 274 | CMMSSY 2.2 |
| 11484 | 276 | CMMSSY 2.3 |
| 11979 | 278 | CMMSSY 2.2 |
| 12280 | 281 | CMMSSY 2.2 |
| 12947 | 283 | CMMSSY 2.3 |
| 13456 | 285 | CMMSSY 2.3 |
| 20000 | 288 | CMMSSY 2.3 |