| k | N | Source |
| 10 | 512 | orthogonal array |
| 18 | 960 | Chateauneuf-Kreher doubling |
| 40 | 1016 | Sherwood-Martirosyan-Colbourn |
| 72 | 1408 | Colbourn-Martirosyan-Trung-Walker |
| 80 | 1492 | Colbourn-Martirosyan-Trung-Walker |
| 91 | 1520 | Sherwood-Martirosyan-Colbourn |
| 194 | 1552 | Cyclotomy (Colbourn) |
| 233 | 1864 | Cyclotomy (Colbourn) |
| 242 | 1936 | Cyclotomy (Colbourn) |
| 257 | 2056 | Cyclotomy (Colbourn) |
| 282 | 2248 | Cyclotomy (Colbourn) |
| 320 | 2304 | Colbourn-Martirosyan-Trung-Walker |
| 360 | 2424 | Cohen-Colbourn-Ling |
| 400 | 2592 | Cohen-Colbourn-Ling |
| 576 | 2696 | Colbourn-Martirosyan-Trung-Walker |
| 640 | 2780 | Colbourn-Martirosyan-Trung-Walker |
| 648 | 2850 | Colbourn-Martirosyan-Trung-Walker |
| 712 | 2892 | Colbourn-Martirosyan-Trung-Walker |
| 720 | 2899 | Colbourn-Martirosyan-Trung-Walker |
| 728 | 2906 | Colbourn-Martirosyan-Trung-Walker |
| 784 | 2938 | Colbourn-Martirosyan-Trung-Walker |
| 792 | 2945 | Colbourn-Martirosyan-Trung-Walker |
| 904 | 2980 | Colbourn-Martirosyan-Trung-Walker |
| 920 | 3001 | Colbourn-Martirosyan-Trung-Walker |
| 936 | 3008 | Colbourn-Martirosyan-Trung-Walker |
| 968 | 3036 | Colbourn-Martirosyan-Trung-Walker |
| 984 | 3057 | Colbourn-Martirosyan-Trung-Walker |
| 1048 | 3064 | Colbourn-Martirosyan-Trung-Walker |
| 1104 | 3078 | Colbourn-Martirosyan-Trung-Walker |
| 1144 | 3085 | Colbourn-Martirosyan-Trung-Walker |
| 1232 | 3120 | Colbourn-Martirosyan-Trung-Walker |
| 1248 | 3127 | Colbourn-Martirosyan-Trung-Walker |
| 1304 | 3141 | Colbourn-Martirosyan-Trung-Walker |
| 1360 | 3148 | Colbourn-Martirosyan-Trung-Walker |
| 1384 | 3155 | Colbourn-Martirosyan-Trung-Walker |
| 1392 | 3162 | Colbourn-Martirosyan-Trung-Walker |
| 1400 | 3169 | Colbourn-Martirosyan-Trung-Walker |
| 1552 | 3176 | Colbourn-Martirosyan-Trung-Walker |
| 1746 | 3408 | Cohen-Colbourn-Ling |
| 1864 | 3502 | Colbourn-Martirosyan-Trung-Walker |
| 1936 | 3581 | Colbourn-Martirosyan-Trung-Walker |
| 1940 | 3660 | Cohen-Colbourn-Ling |
| 2008 | 3701 | Colbourn-Martirosyan-Trung-Walker |
| 2097 | 3720 | Cohen-Colbourn-Ling |
| 2178 | 3792 | Cohen-Colbourn-Ling |
| 2313 | 3912 | Cohen-Colbourn-Ling |
| 2330 | 3972 | Cohen-Colbourn-Ling |
| 2560 | 3984 | Colbourn-Martirosyan-Trung-Walker |
| 2880 | 4104 | Colbourn-Martirosyan-Trung-Walker |
| 3200 | 4188 | Cohen-Colbourn-Ling |
| 3240 | 4280 | Cohen-Colbourn-Ling |
| 4608 | 4376 | Colbourn-Martirosyan-Trung-Walker |
| 5120 | 4460 | Colbourn-Martirosyan-Trung-Walker |
| 5184 | 4530 | Colbourn-Martirosyan-Trung-Walker |
| 5696 | 4572 | Colbourn-Martirosyan-Trung-Walker |
| 5760 | 4621 | Colbourn-Martirosyan-Trung-Walker |
| 5824 | 4642 | Colbourn-Martirosyan-Trung-Walker |
| 5840 | 4674 | Colbourn-Martirosyan-Trung-Walker |
| 5920 | 4681 | Colbourn-Martirosyan-Trung-Walker |
| 6272 | 4702 | Colbourn-Martirosyan-Trung-Walker |
| 6336 | 4709 | Colbourn-Martirosyan-Trung-Walker |
| 6408 | 4751 | Colbourn-Martirosyan-Trung-Walker |
| 7056 | 4758 | Colbourn-Martirosyan-Trung-Walker |
| 7128 | 4772 | Colbourn-Martirosyan-Trung-Walker |
| 7232 | 4800 | Colbourn-Martirosyan-Trung-Walker |
| 7360 | 4821 | Colbourn-Martirosyan-Trung-Walker |
| 7488 | 4828 | Colbourn-Martirosyan-Trung-Walker |
| 7744 | 4856 | Colbourn-Martirosyan-Trung-Walker |
| 7872 | 4877 | Colbourn-Martirosyan-Trung-Walker |
| 8064 | 4884 | Colbourn-Martirosyan-Trung-Walker |
| 8192 | 4905 | Colbourn-Martirosyan-Trung-Walker |
| 8320 | 4912 | Colbourn-Martirosyan-Trung-Walker |
| 8384 | 4940 | Colbourn-Martirosyan-Trung-Walker |
| 8624 | 4954 | Colbourn-Martirosyan-Trung-Walker |
| 8832 | 4968 | Colbourn-Martirosyan-Trung-Walker |
| 8904 | 4975 | Colbourn-Martirosyan-Trung-Walker |
| 8968 | 4982 | Colbourn-Martirosyan-Trung-Walker |
| 9152 | 4989 | Colbourn-Martirosyan-Trung-Walker |
| 9344 | 5024 | Colbourn-Martirosyan-Trung-Walker |
| 9856 | 5038 | Colbourn-Martirosyan-Trung-Walker |
| 9984 | 5045 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 5059 | Colbourn-Martirosyan-Trung-Walker |