| k | N | Source |
| 3 | 36 | orthogonal array |
| 4 | 37 | simulated annealing (Cohen) |
| 5 | 39 | simulated annealing (Cohen) |
| 6 | 41 | tabu search (Nurmela) |
| 8 | 42 | tabu search (Nurmela) |
| 9 | 46 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 10 | 51 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 11 | 55 | simulated annealing (Cohen) |
| 12 | 56 | simulated annealing (Cohen) |
| 13 | 58 | simulated annealing (Cohen) |
| 14 | 60 | simulated annealing (Cohen) |
| 15 | 61 | simulated annealing (Cohen) |
| 16 | 62 | simulated annealing (Cohen) |
| 17 | 63 | tabu search (Zekaoui) |
| 19 | 65 | tabu search (Zekaoui) |
| 20 | 71 | CMMSSY 2.2 |
| 24 | 72 | CMMSSY 2.3 |
| 26 | 73 | CMMSSY 2.3 |
| 32 | 74 | CMMSSY 2.2 |
| 34 | 75 | CMMSSY 2.3 |
| 40 | 76 | CMMSSY 2.2 |
| 42 | 77 | CMMSSY 2.2 |
| 48 | 78 | CMMSSY 2.2 |
| 50 | 79 | CMMSSY 2.2 |
| 56 | 80 | CMMSSY 2.2 |
| 66 | 82 | CMMSSY 2.2 |
| 72 | 84 | CMMSSY 2.2 |
| 80 | 86 | CMMSSY 2.2 |
| 81 | 88 | CMMSSY 2.2 |
| 89 | 91 | CMMSSY 2.2 |
| 90 | 92 | CMMSSY 2.2 |
| 96 | 93 | CMMSSY 2.2 |
| 98 | 94 | CMMSSY 2.2 |
| 99 | 95 | CMMSSY 2.2 |
| 107 | 96 | CMMSSY 2.2 |
| 114 | 97 | CMMSSY 2.2 |
| 120 | 98 | CMMSSY 2.2 |
| 130 | 100 | CMMSSY 2.2 |
| 134 | 101 | CMMSSY 2.2 |
| 135 | 102 | CMMSSY 2.2 |
| 142 | 103 | CMMSSY 2.2 |
| 152 | 104 | CMMSSY 2.2 |
| 153 | 106 | CMMSSY 2.2 |
| 168 | 108 | CMMSSY 2.3 |
| 196 | 109 | CMMSSY 2.2 |
| 202 | 110 | CMMSSY 2.2 |
| 260 | 111 | CMMSSY 2.2 |
| 288 | 114 | CMMSSY 2.2 |
| 304 | 115 | CMMSSY 2.2 |
| 336 | 116 | CMMSSY 2.2 |
| 360 | 117 | CMMSSY 2.3 |
| 396 | 118 | CMMSSY 2.2 |
| 432 | 119 | CMMSSY 2.2 |
| 576 | 120 | CMMSSY 2.2 |
| 648 | 124 | CMMSSY 2.2 |
| 704 | 126 | CMMSSY 2.2 |
| 729 | 128 | CMMSSY 2.2 |
| 784 | 131 | CMMSSY 2.2 |
| 810 | 133 | CMMSSY 2.2 |
| 864 | 134 | CMMSSY 2.2 |
| 880 | 135 | CMMSSY 2.2 |
| 944 | 136 | CMMSSY 2.2 |
| 960 | 137 | CMMSSY 2.2 |
| 1024 | 138 | CMMSSY 2.2 |
| 1080 | 139 | CMMSSY 2.2 |
| 1152 | 140 | CMMSSY 2.2 |
| 1184 | 141 | CMMSSY 2.2 |
| 1224 | 142 | CMMSSY 2.2 |
| 1248 | 143 | CMMSSY 2.2 |
| 1344 | 144 | CMMSSY 2.2 |
| 1377 | 146 | CMMSSY 2.2 |
| 1560 | 147 | CMMSSY 2.2 |
| 1624 | 148 | CMMSSY 2.2 |
| 1820 | 149 | CMMSSY 2.2 |
| 2144 | 151 | CMMSSY 2.2 |
| 2304 | 152 | CMMSSY 2.2 |
| 2448 | 153 | CMMSSY 2.3 |
| 2880 | 154 | CMMSSY 2.2 |
| 3024 | 155 | CMMSSY 2.2 |
| 3456 | 156 | CMMSSY 2.2 |
| 3600 | 157 | CMMSSY 2.2 |
| 4032 | 158 | CMMSSY 2.2 |
| 4752 | 160 | CMMSSY 2.2 |
| 5184 | 162 | CMMSSY 2.2 |
| 5760 | 164 | CMMSSY 2.2 |
| 6144 | 166 | CMMSSY 2.2 |
| 6480 | 168 | CMMSSY 2.2 |
| 6561 | 170 | CMMSSY 2.2 |
| 6912 | 171 | CMMSSY 2.2 |
| 7056 | 172 | CMMSSY 2.2 |
| 7209 | 173 | CMMSSY 2.2 |
| 7704 | 174 | CMMSSY 2.2 |
| 8208 | 175 | CMMSSY 2.2 |
| 8640 | 176 | CMMSSY 2.2 |
| 9360 | 178 | CMMSSY 2.2 |
| 9648 | 179 | CMMSSY 2.2 |
| 9720 | 180 | CMMSSY 2.2 |
| 10368 | 181 | CMMSSY 2.2 |
| 10944 | 182 | CMMSSY 2.2 |
| 11776 | 184 | CMMSSY 2.2 |
| 12312 | 186 | CMMSSY 2.2 |
| 14112 | 187 | CMMSSY 2.2 |
| 14544 | 188 | CMMSSY 2.2 |
| 18720 | 189 | CMMSSY 2.2 |
| 20000 | 192 | CMMSSY 2.2 |