| k | N | Source |
| 20 | 2476099 | orthogonal array |
| 21 | 4815018 | extended OA (Colbourn) |
| 40 | 5823291 | Martirosyan-Tran van Trung |
| 41 | 10391385 | Add a factor |
| 42 | 10771936 | Martirosyan-Tran van Trung |
| 48 | 12255607 | Martirosyan-Tran van Trung |
| 50 | 12749285 | Martirosyan-Tran van Trung |
| 52 | 12754833 | Martirosyan-Tran van Trung |
| 54 | 12760381 | Martirosyan-Tran van Trung |
| 56 | 12768703 | Martirosyan-Tran van Trung |
| 58 | 12937917 | Martirosyan-Tran van Trung |
| 60 | 12957335 | Martirosyan-Tran van Trung |
| 62 | 12965657 | Martirosyan-Tran van Trung |
| 64 | 12973979 | Martirosyan-Tran van Trung |
| 66 | 13126549 | Martirosyan-Tran van Trung |
| 68 | 13132097 | Martirosyan-Tran van Trung |
| 70 | 13134871 | Martirosyan-Tran van Trung |
| 72 | 13140419 | Martirosyan-Tran van Trung |
| 74 | 13190351 | Martirosyan-Tran van Trung |
| 76 | 13240283 | Martirosyan-Tran van Trung |
| 78 | 13290215 | Martirosyan-Tran van Trung |
| 80 | 14680463 | Martirosyan-Tran van Trung |
| 81 | 21470873 | Add a factor |
| 87 | 22284739 | perfect hash family9,87,19,c |
| 98 | 22284882 | perfect hash family9,98,20 |
| 108 | 24760819 | perfect hash family10,108,19,c |
| 362 | 24760980 | Power N19^2+1 |
| 363 | 31551390 | Add a factor |
| 722 | 38069588 | Martirosyan-Tran van Trung |
| 724 | 38537444 | Martirosyan-Tran van Trung |
| 726 | 45327854 | Martirosyan-Tran van Trung |
| 760 | 51846052 | Martirosyan-Tran van Trung |
| 1348 | 52409610 | Power N41^2S9 |
| 1381 | 56977704 | Power N41^2S8 |
| 1438 | 59558836 | Martirosyan-Tran van Trung |
| 1444 | 59608768 | Martirosyan-Tran van Trung |
| 1448 | 60076624 | Martirosyan-Tran van Trung |
| 1450 | 66113892 | Power N41^2S6 |
| 1452 | 66867034 | Martirosyan-Tran van Trung |
| 1486 | 70681986 | Power N41^2S5 |
| 1512 | 74800446 | Martirosyan-Tran van Trung |
| 1520 | 74808768 | Martirosyan-Tran van Trung |
| 1523 | 75250080 | Power N41^2S4 |
| 1561 | 79818174 | Power N41^2S3 |
| 1568 | 81045224 | Martirosyan-Tran van Trung |
| 2166 | 81111800 | Martirosyan-Tran van Trung |
| 2696 | 81995690 | Martirosyan-Tran van Trung |
| 2762 | 86944335 | Martirosyan-Tran van Trung |
| 2876 | 89144916 | Martirosyan-Tran van Trung |
| 2888 | 89194848 | Martirosyan-Tran van Trung |
| 2896 | 89662704 | Martirosyan-Tran van Trung |
| 2904 | 96453114 | Martirosyan-Tran van Trung |
| 2972 | 101790270 | Martirosyan-Tran van Trung |
| 3024 | 104386526 | Martirosyan-Tran van Trung |
| 3040 | 104394848 | Martirosyan-Tran van Trung |
| 3046 | 106738915 | Martirosyan-Tran van Trung |
| 3116 | 110361700 | Martirosyan-Tran van Trung |
| 3136 | 110631304 | Martirosyan-Tran van Trung |
| 4332 | 110697880 | Martirosyan-Tran van Trung |
| 5392 | 111581770 | Martirosyan-Tran van Trung |
| 10000 | 115594706 | Power 25^3T5T5 |