| k | N | Source |
| 6 | 125 | orthogonal array |
| 7 | 180 | cross-sum (CKRS) |
| 10 | 185 | Chateauneuf-Kreher NRB |
| 12 | 225 | Chateauneuf-Kreher doubling |
| 24 | 245 | Sherwood-Martirosyan-Colbourn |
| 30 | 325 | Colbourn-Martirosyan-Trung-Walker |
| 48 | 365 | Sherwood-Martirosyan-Colbourn |
| 50 | 429 | Colbourn-Martirosyan-Trung-Walker |
| 55 | 473 | Colbourn-Martirosyan-Trung-Walker |
| 60 | 477 | Colbourn-Martirosyan-Trung-Walker |
| 95 | 485 | Sherwood-Martirosyan-Colbourn |
| 120 | 525 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 570 | Cohen-Colbourn-Ling |
| 160 | 605 | Sherwood-Martirosyan-Colbourn |
| 175 | 645 | Colbourn-Martirosyan-Trung-Walker |
| 180 | 649 | Colbourn-Martirosyan-Trung-Walker |
| 190 | 657 | Colbourn-Martirosyan-Trung-Walker |
| 215 | 661 | Colbourn-Martirosyan-Trung-Walker |
| 225 | 665 | Colbourn-Martirosyan-Trung-Walker |
| 235 | 669 | Colbourn-Martirosyan-Trung-Walker |
| 240 | 677 | Colbourn-Martirosyan-Trung-Walker |
| 250 | 741 | Colbourn-Martirosyan-Trung-Walker |
| 288 | 765 | Cohen-Colbourn-Ling |
| 312 | 794 | Cohen-Colbourn-Ling |
| 336 | 802 | Cohen-Colbourn-Ling |
| 360 | 810 | Cohen-Colbourn-Ling |
| 385 | 817 | Colbourn-Martirosyan-Trung-Walker |
| 415 | 821 | Colbourn-Martirosyan-Trung-Walker |
| 475 | 825 | Colbourn-Martirosyan-Trung-Walker |
| 576 | 850 | Cohen-Colbourn-Ling |
| 600 | 885 | Colbourn-Martirosyan-Trung-Walker |
| 720 | 930 | Colbourn-Martirosyan-Trung-Walker |
| 800 | 965 | Colbourn-Martirosyan-Trung-Walker |
| 840 | 970 | Cohen-Colbourn-Ling |
| 864 | 978 | Cohen-Colbourn-Ling |
| 912 | 994 | Cohen-Colbourn-Ling |
| 1032 | 1002 | Cohen-Colbourn-Ling |
| 1080 | 1010 | Cohen-Colbourn-Ling |
| 1128 | 1018 | Cohen-Colbourn-Ling |
| 1152 | 1034 | Cohen-Colbourn-Ling |
| 1175 | 1045 | Colbourn-Martirosyan-Trung-Walker |
| 1200 | 1053 | Colbourn-Martirosyan-Trung-Walker |
| 1250 | 1117 | Colbourn-Martirosyan-Trung-Walker |
| 1260 | 1141 | Colbourn-Martirosyan-Trung-Walker |
| 1310 | 1145 | Colbourn-Martirosyan-Trung-Walker |
| 1365 | 1149 | Colbourn-Martirosyan-Trung-Walker |
| 1440 | 1157 | Colbourn-Martirosyan-Trung-Walker |
| 1464 | 1178 | Cohen-Colbourn-Ling |
| 1656 | 1186 | Cohen-Colbourn-Ling |
| 1848 | 1194 | Cohen-Colbourn-Ling |
| 1992 | 1202 | Cohen-Colbourn-Ling |
| 2280 | 1210 | Cohen-Colbourn-Ling |
| 2375 | 1241 | Colbourn-Martirosyan-Trung-Walker |
| 2544 | 1258 | Cohen-Colbourn-Ling |
| 2568 | 1266 | Cohen-Colbourn-Ling |
| 2790 | 1270 | Colbourn-Martirosyan-Trung-Walker |
| 2880 | 1274 | Colbourn-Martirosyan-Trung-Walker |
| 3000 | 1309 | Colbourn-Martirosyan-Trung-Walker |
| 3456 | 1335 | Cohen-Colbourn-Ling |
| 3840 | 1370 | Cohen-Colbourn-Ling |
| 5290 | 1404 | Power N-CT23^3T13 |
| 6348 | 1444 | Power N-CT23^3T11 |
| 10000 | 1464 | Power N-CT23^3 |