| k | N | Source |
| 10 | 512 | orthogonal array |
| 18 | 960 | Chateauneuf-Kreher doubling |
| 40 | 1016 | Sherwood-Martirosyan-Colbourn |
| 72 | 1408 | Colbourn-Martirosyan-Trung-Walker |
| 80 | 1464 | 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 | 2536 | Cohen-Colbourn-Ling |
| 576 | 2696 | Colbourn-Martirosyan-Trung-Walker |
| 640 | 2752 | Colbourn-Martirosyan-Trung-Walker |
| 648 | 2857 | Colbourn-Martirosyan-Trung-Walker |
| 656 | 2864 | Colbourn-Martirosyan-Trung-Walker |
| 720 | 2906 | Colbourn-Martirosyan-Trung-Walker |
| 728 | 2920 | Colbourn-Martirosyan-Trung-Walker |
| 792 | 2952 | Colbourn-Martirosyan-Trung-Walker |
| 856 | 2987 | Colbourn-Martirosyan-Trung-Walker |
| 880 | 3008 | Colbourn-Martirosyan-Trung-Walker |
| 928 | 3036 | Colbourn-Martirosyan-Trung-Walker |
| 968 | 3050 | Colbourn-Martirosyan-Trung-Walker |
| 1000 | 3085 | Colbourn-Martirosyan-Trung-Walker |
| 1056 | 3099 | Colbourn-Martirosyan-Trung-Walker |
| 1144 | 3134 | Colbourn-Martirosyan-Trung-Walker |
| 1208 | 3169 | Colbourn-Martirosyan-Trung-Walker |
| 1240 | 3183 | Colbourn-Martirosyan-Trung-Walker |
| 1280 | 3197 | Colbourn-Martirosyan-Trung-Walker |
| 1296 | 3204 | Colbourn-Martirosyan-Trung-Walker |
| 1360 | 3211 | Colbourn-Martirosyan-Trung-Walker |
| 1552 | 3232 | Colbourn-Martirosyan-Trung-Walker |
| 1746 | 3408 | Cohen-Colbourn-Ling |
| 1864 | 3544 | Colbourn-Martirosyan-Trung-Walker |
| 1940 | 3576 | Cohen-Colbourn-Ling |
| 2097 | 3720 | Cohen-Colbourn-Ling |
| 2178 | 3792 | Cohen-Colbourn-Ling |
| 2330 | 3888 | Cohen-Colbourn-Ling |
| 2420 | 3960 | Cohen-Colbourn-Ling |
| 2560 | 3984 | Colbourn-Martirosyan-Trung-Walker |
| 2570 | 4080 | Cohen-Colbourn-Ling |
| 2880 | 4104 | Colbourn-Martirosyan-Trung-Walker |
| 3200 | 4160 | Cohen-Colbourn-Ling |
| 3240 | 4280 | Cohen-Colbourn-Ling |
| 3280 | 4328 | Cohen-Colbourn-Ling |
| 4608 | 4376 | Colbourn-Martirosyan-Trung-Walker |
| 5120 | 4432 | Colbourn-Martirosyan-Trung-Walker |
| 5184 | 4537 | Colbourn-Martirosyan-Trung-Walker |
| 5248 | 4544 | Colbourn-Martirosyan-Trung-Walker |
| 5696 | 4586 | Colbourn-Martirosyan-Trung-Walker |
| 5760 | 4635 | Colbourn-Martirosyan-Trung-Walker |
| 5824 | 4656 | Colbourn-Martirosyan-Trung-Walker |
| 5888 | 4688 | Colbourn-Martirosyan-Trung-Walker |
| 6336 | 4730 | Colbourn-Martirosyan-Trung-Walker |
| 6464 | 4765 | Colbourn-Martirosyan-Trung-Walker |
| 6848 | 4779 | Colbourn-Martirosyan-Trung-Walker |
| 7040 | 4800 | Colbourn-Martirosyan-Trung-Walker |
| 7128 | 4828 | Colbourn-Martirosyan-Trung-Walker |
| 7424 | 4863 | Colbourn-Martirosyan-Trung-Walker |
| 7616 | 4877 | Colbourn-Martirosyan-Trung-Walker |
| 7744 | 4898 | Colbourn-Martirosyan-Trung-Walker |
| 7920 | 4933 | Colbourn-Martirosyan-Trung-Walker |
| 8000 | 4961 | Colbourn-Martirosyan-Trung-Walker |
| 8256 | 4975 | Colbourn-Martirosyan-Trung-Walker |
| 8448 | 4989 | Colbourn-Martirosyan-Trung-Walker |
| 8712 | 5024 | Colbourn-Martirosyan-Trung-Walker |
| 8800 | 5038 | Colbourn-Martirosyan-Trung-Walker |
| 8896 | 5059 | Colbourn-Martirosyan-Trung-Walker |
| 9152 | 5073 | Colbourn-Martirosyan-Trung-Walker |
| 9504 | 5108 | Colbourn-Martirosyan-Trung-Walker |
| 9664 | 5115 | Colbourn-Martirosyan-Trung-Walker |
| 9680 | 5129 | Colbourn-Martirosyan-Trung-Walker |
| 9920 | 5157 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 5171 | Colbourn-Martirosyan-Trung-Walker |