| k | N | Source |
| 6 | 625 | orthogonal array |
| 7 | 910 | cross-sum (CKRS) |
| 15 | 1245 | Walker-Colbourn |
| 24 | 1865 | Walker-Colbourn |
| 37 | 2485 | Walker-Colbourn |
| 62 | 3105 | Walker-Colbourn |
| 75 | 4225 | Colbourn-Martirosyan-Trung-Walker |
| 120 | 4845 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 5546 | Colbourn-Martirosyan-Trung-Walker |
| 145 | 6085 | Colbourn-Martirosyan-Trung-Walker |
| 150 | 6086 | Colbourn-Martirosyan-Trung-Walker |
| 155 | 6340 | Colbourn-Martirosyan-Trung-Walker |
| 160 | 6343 | Colbourn-Martirosyan-Trung-Walker |
| 165 | 6346 | Colbourn-Martirosyan-Trung-Walker |
| 170 | 6348 | Colbourn-Martirosyan-Trung-Walker |
| 175 | 6434 | Colbourn-Martirosyan-Trung-Walker |
| 180 | 6537 | Colbourn-Martirosyan-Trung-Walker |
| 185 | 6539 | Colbourn-Martirosyan-Trung-Walker |
| 186 | 6942 | IPOG-F (NIST) |
| 187 | 6947 | IPOG-F (NIST) |
| 188 | 6957 | IPOG-F (NIST) |
| 189 | 6966 | IPOG-F (NIST) |
| 190 | 6976 | IPOG-F (NIST) |
| 191 | 6987 | IPOG-F (NIST) |
| 192 | 6997 | IPOG-F (NIST) |
| 193 | 7007 | IPOG-F (NIST) |
| 194 | 7016 | IPOG-F (NIST) |
| 195 | 7025 | IPOG-F (NIST) |
| 196 | 7034 | IPOG-F (NIST) |
| 197 | 7045 | IPOG-F (NIST) |
| 198 | 7051 | IPOG-F (NIST) |
| 199 | 7063 | IPOG-F (NIST) |
| 200 | 7073 | IPOG-F (NIST) |
| 201 | 7082 | IPOG-F (NIST) |
| 202 | 7092 | IPOG-F (NIST) |
| 203 | 7100 | IPOG-F (NIST) |
| 204 | 7107 | IPOG-F (NIST) |
| 205 | 7116 | IPOG-F (NIST) |
| 206 | 7127 | IPOG-F (NIST) |
| 207 | 7139 | IPOG-F (NIST) |
| 208 | 7145 | IPOG-F (NIST) |
| 210 | 7423 | Colbourn-Martirosyan-Trung-Walker |
| 240 | 7443 | Colbourn-Martirosyan-Trung-Walker |
| 1512 | 7555 | Cyclotomy (Colbourn) |
| 1513 | 9355 | Add a factor |
| 1902 | 9505 | Cyclotomy (Colbourn) |
| 2142 | 10705 | Cyclotomy (Colbourn) |
| 2372 | 11855 | Cyclotomy (Colbourn) |
| 2442 | 12205 | Cyclotomy (Colbourn) |
| 2552 | 12755 | Cyclotomy (Colbourn) |
| 2672 | 13355 | Cyclotomy (Colbourn) |
| 2720 | 13899 | Colbourn-Martirosyan-Trung-Walker |
| 2730 | 13939 | Colbourn-Martirosyan-Trung-Walker |
| 2792 | 13955 | Cyclotomy (Colbourn) |
| 2880 | 13977 | Colbourn-Martirosyan-Trung-Walker |
| 2928 | 14061 | Colbourn-Martirosyan-Trung-Walker |
| 3024 | 14093 | Colbourn-Martirosyan-Trung-Walker |
| 3125 | 14675 | Colbourn-Martirosyan-Trung-Walker |
| 3250 | 14875 | Colbourn-Martirosyan-Trung-Walker |
| 3375 | 14899 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 14922 | Colbourn-Martirosyan-Trung-Walker |
| 3500 | 14924 | Colbourn-Martirosyan-Trung-Walker |
| 3520 | 14948 | Colbourn-Martirosyan-Trung-Walker |
| 3600 | 14972 | Colbourn-Martirosyan-Trung-Walker |
| 3640 | 15112 | Colbourn-Martirosyan-Trung-Walker |
| 3750 | 15116 | Colbourn-Martirosyan-Trung-Walker |
| 3770 | 15128 | Colbourn-Martirosyan-Trung-Walker |
| 3900 | 15140 | Colbourn-Martirosyan-Trung-Walker |
| 3920 | 15161 | Colbourn-Martirosyan-Trung-Walker |
| 4000 | 15164 | Colbourn-Martirosyan-Trung-Walker |
| 4060 | 15184 | Colbourn-Martirosyan-Trung-Walker |
| 4200 | 15186 | Colbourn-Martirosyan-Trung-Walker |
| 4205 | 15266 | Colbourn-Martirosyan-Trung-Walker |
| 4265 | 15267 | Colbourn-Martirosyan-Trung-Walker |
| 4320 | 15268 | Colbourn-Martirosyan-Trung-Walker |
| 4350 | 15332 | Colbourn-Martirosyan-Trung-Walker |
| 4375 | 15333 | Colbourn-Martirosyan-Trung-Walker |
| 4500 | 15433 | Colbourn-Martirosyan-Trung-Walker |
| 4560 | 15482 | Colbourn-Martirosyan-Trung-Walker |
| 4620 | 15514 | Colbourn-Martirosyan-Trung-Walker |
| 4760 | 15517 | Colbourn-Martirosyan-Trung-Walker |
| 4800 | 15562 | Colbourn-Martirosyan-Trung-Walker |
| 4805 | 15563 | Colbourn-Martirosyan-Trung-Walker |
| 4855 | 15564 | Colbourn-Martirosyan-Trung-Walker |
| 4950 | 15565 | Colbourn-Martirosyan-Trung-Walker |
| 4965 | 15566 | Colbourn-Martirosyan-Trung-Walker |
| 5100 | 15567 | Colbourn-Martirosyan-Trung-Walker |
| 5160 | 15609 | Colbourn-Martirosyan-Trung-Walker |
| 5180 | 15641 | Colbourn-Martirosyan-Trung-Walker |
| 5320 | 15644 | Colbourn-Martirosyan-Trung-Walker |
| 5400 | 15688 | Colbourn-Martirosyan-Trung-Walker |
| 5460 | 15721 | Colbourn-Martirosyan-Trung-Walker |
| 5550 | 15722 | Colbourn-Martirosyan-Trung-Walker |
| 5600 | 15725 | Colbourn-Martirosyan-Trung-Walker |
| 5640 | 15728 | Colbourn-Martirosyan-Trung-Walker |
| 5700 | 15792 | Colbourn-Martirosyan-Trung-Walker |
| 5760 | 15797 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 15841 | Colbourn-Martirosyan-Trung-Walker |
| 5845 | 15880 | Colbourn-Martirosyan-Trung-Walker |
| 5875 | 15881 | Colbourn-Martirosyan-Trung-Walker |
| 6000 | 15913 | Colbourn-Martirosyan-Trung-Walker |
| 6010 | 16217 | Colbourn-Martirosyan-Trung-Walker |
| 6135 | 16218 | Colbourn-Martirosyan-Trung-Walker |
| 6150 | 16219 | Colbourn-Martirosyan-Trung-Walker |
| 6250 | 16220 | Colbourn-Martirosyan-Trung-Walker |
| 6290 | 16316 | Colbourn-Martirosyan-Trung-Walker |
| 6295 | 16319 | Colbourn-Martirosyan-Trung-Walker |
| 6300 | 16320 | Colbourn-Martirosyan-Trung-Walker |
| 6305 | 16336 | Colbourn-Martirosyan-Trung-Walker |
| 6345 | 16337 | Colbourn-Martirosyan-Trung-Walker |
| 6460 | 16338 | Colbourn-Martirosyan-Trung-Walker |
| 6470 | 16379 | Colbourn-Martirosyan-Trung-Walker |
| 6550 | 16381 | Colbourn-Martirosyan-Trung-Walker |
| 6605 | 16397 | Colbourn-Martirosyan-Trung-Walker |
| 6645 | 16398 | Colbourn-Martirosyan-Trung-Walker |
| 6800 | 16399 | Colbourn-Martirosyan-Trung-Walker |
| 6825 | 16439 | Colbourn-Martirosyan-Trung-Walker |
| 6845 | 16471 | Colbourn-Martirosyan-Trung-Walker |
| 6850 | 16473 | Colbourn-Martirosyan-Trung-Walker |
| 6865 | 16475 | Colbourn-Martirosyan-Trung-Walker |
| 6920 | 16476 | Colbourn-Martirosyan-Trung-Walker |
| 7200 | 16477 | Colbourn-Martirosyan-Trung-Walker |
| 7320 | 16561 | Colbourn-Martirosyan-Trung-Walker |
| 7500 | 16593 | Colbourn-Martirosyan-Trung-Walker |
| 7560 | 16693 | Colbourn-Martirosyan-Trung-Walker |
| 7565 | 18493 | Colbourn-Martirosyan-Trung-Walker |
| 8280 | 18643 | Colbourn-Martirosyan-Trung-Walker |
| 8750 | 18675 | Colbourn-Martirosyan-Trung-Walker |
| 9240 | 18681 | Colbourn-Martirosyan-Trung-Walker |
| 9510 | 18713 | Colbourn-Martirosyan-Trung-Walker |
| 9960 | 19913 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 19945 | Colbourn-Martirosyan-Trung-Walker |