| k | N | Source |
| 8 | 49 | orthogonal array |
| 10 | 61 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 11 | 67 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 12 | 73 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 13 | 78 | simulated annealing (Cohen) |
| 14 | 80 | tabu search (Zekaoui) |
| 15 | 82 | tabu search (Zekaoui) |
| 16 | 84 | tabu search (Zekaoui) |
| 17 | 86 | tabu search (Zekaoui) |
| 18 | 87 | tabu search (Zekaoui) |
| 19 | 89 | tabu search (Zekaoui) |
| 63 | 91 | CMMSSY 2.3 |
| 64 | 97 | CMMSSY 2.3 |
| 79 | 103 | CMMSSY 2.3 |
| 80 | 105 | CMMSSY 2.2 |
| 87 | 109 | CMMSSY 2.3 |
| 99 | 115 | CMMSSY 2.2 |
| 100 | 117 | CMMSSY 2.2 |
| 103 | 120 | CMMSSY 2.3 |
| 109 | 121 | CMMSSY 2.2 |
| 112 | 123 | CMMSSY 2.3 |
| 119 | 125 | CMMSSY 2.3 |
| 120 | 126 | CMMSSY 2.3 |
| 127 | 127 | CMMSSY 2.3 |
| 135 | 129 | CMMSSY 2.3 |
| 143 | 131 | CMMSSY 2.3 |
| 497 | 133 | CMMSSY 2.3 |
| 504 | 139 | CMMSSY 2.3 |
| 623 | 145 | CMMSSY 2.3 |
| 640 | 147 | CMMSSY 2.3 |
| 686 | 151 | CMMSSY 2.3 |
| 781 | 157 | CMMSSY 2.2 |
| 800 | 159 | CMMSSY 2.2 |
| 812 | 162 | CMMSSY 2.3 |
| 860 | 163 | CMMSSY 2.2 |
| 882 | 165 | CMMSSY 2.3 |
| 938 | 167 | CMMSSY 2.3 |
| 945 | 168 | CMMSSY 2.3 |
| 1001 | 169 | CMMSSY 2.3 |
| 1064 | 171 | CMMSSY 2.3 |
| 1127 | 173 | CMMSSY 2.3 |
| 3920 | 175 | CMMSSY 2.3 |
| 3976 | 181 | CMMSSY 2.3 |
| 4914 | 187 | CMMSSY 2.3 |
| 5040 | 189 | CMMSSY 2.3 |
| 5411 | 193 | CMMSSY 2.3 |
| 6160 | 199 | CMMSSY 2.2 |
| 6320 | 201 | CMMSSY 2.3 |
| 6400 | 203 | CMMSSY 2.2 |
| 6405 | 204 | CMMSSY 2.3 |
| 6783 | 205 | CMMSSY 2.2 |
| 6960 | 207 | CMMSSY 2.3 |
| 7399 | 209 | CMMSSY 2.3 |
| 7455 | 210 | CMMSSY 2.3 |
| 7896 | 211 | CMMSSY 2.3 |
| 8393 | 213 | CMMSSY 2.3 |
| 8890 | 215 | CMMSSY 2.3 |
| 20000 | 217 | CMMSSY 2.3 |
| | Graph:
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