| k | N | Source |
| 6 | 25 | orthogonal array |
| 7 | 29 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 8 | 33 | group 1-rotational (Meagher-Stevens, Colbourn) |
| 9 | 35 | simulated annealing (Cohen) |
| 10 | 37 | simulated annealing (Cohen) |
| 11 | 38 | simulated annealing (Cohen) |
| 12 | 40 | simulated annealing (Cohen) |
| 13 | 41 | simulated annealing (Cohen) |
| 14 | 42 | simulated annealing (Cohen) |
| 16 | 43 | tabu search (Zekaoui) |
| 17 | 44 | tabu search (Zekaoui) |
| 35 | 45 | CMMSSY 2.3 |
| 41 | 49 | CMMSSY 2.3 |
| 42 | 52 | CMMSSY 2.3 |
| 48 | 53 | CMMSSY 2.2 |
| 52 | 55 | CMMSSY 2.3 |
| 54 | 56 | CMMSSY 2.3 |
| 59 | 57 | CMMSSY 2.3 |
| 65 | 58 | CMMSSY 2.3 |
| 71 | 60 | CMMSSY 2.3 |
| 77 | 61 | CMMSSY 2.3 |
| 83 | 62 | CMMSSY 2.3 |
| 90 | 63 | CMMSSY 2.3 |
| 95 | 64 | CMMSSY 2.3 |
| 205 | 65 | CMMSSY 2.3 |
| 240 | 69 | CMMSSY 2.3 |
| 245 | 72 | CMMSSY 2.3 |
| 281 | 73 | CMMSSY 2.2 |
| 305 | 75 | CMMSSY 2.3 |
| 315 | 76 | CMMSSY 2.3 |
| 345 | 77 | CMMSSY 2.3 |
| 380 | 78 | CMMSSY 2.3 |
| 415 | 80 | CMMSSY 2.3 |
| 450 | 81 | CMMSSY 2.3 |
| 485 | 82 | CMMSSY 2.3 |
| 525 | 83 | CMMSSY 2.3 |
| 555 | 84 | CMMSSY 2.3 |
| 1200 | 85 | CMMSSY 2.3 |
| 1405 | 89 | CMMSSY 2.3 |
| 1435 | 92 | CMMSSY 2.3 |
| 1645 | 93 | CMMSSY 2.2 |
| 1785 | 95 | CMMSSY 2.3 |
| 1845 | 96 | CMMSSY 2.3 |
| 2020 | 97 | CMMSSY 2.3 |
| 2225 | 98 | CMMSSY 2.3 |
| 2430 | 100 | CMMSSY 2.3 |
| 2635 | 101 | CMMSSY 2.3 |
| 2840 | 102 | CMMSSY 2.3 |
| 3075 | 103 | CMMSSY 2.3 |
| 3250 | 104 | CMMSSY 2.3 |
| 7025 | 105 | CMMSSY 2.3 |
| 8225 | 109 | CMMSSY 2.3 |
| 8400 | 112 | CMMSSY 2.3 |
| 9630 | 113 | CMMSSY 2.2 |
| 10450 | 115 | CMMSSY 2.3 |
| 10800 | 116 | CMMSSY 2.3 |
| 11825 | 117 | CMMSSY 2.3 |
| 13025 | 118 | CMMSSY 2.3 |
| 14225 | 120 | CMMSSY 2.3 |
| 15425 | 121 | CMMSSY 2.3 |
| 16625 | 122 | CMMSSY 2.3 |
| 18000 | 123 | CMMSSY 2.3 |
| 19025 | 124 | CMMSSY 2.3 |
| 20000 | 125 | CMMSSY 2.3 |