| k | N | Source |
| 6 | 625 | orthogonal array |
| 7 | 910 | cross-sum (CKRS) |
| 15 | 1245 | Sherwood-Martirosyan-Colbourn, Walker |
| 24 | 1865 | Sherwood-Martirosyan-Colbourn, Walker |
| 37 | 2485 | Sherwood-Martirosyan-Colbourn, Walker |
| 62 | 3105 | Sherwood-Martirosyan-Colbourn, Walker |
| 75 | 4225 | Colbourn-Martirosyan-Trung-Walker |
| 120 | 4845 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 5571 | Colbourn-Martirosyan-Trung-Walker |
| 145 | 6286 | Colbourn-Martirosyan-Trung-Walker |
| 150 | 6287 | Colbourn-Martirosyan-Trung-Walker |
| 151 | 6550 | IPOG-F (NIST) |
| 155 | 6554 | Colbourn-Martirosyan-Trung-Walker |
| 160 | 6555 | Colbourn-Martirosyan-Trung-Walker |
| 165 | 6556 | Colbourn-Martirosyan-Trung-Walker |
| 170 | 6557 | Colbourn-Martirosyan-Trung-Walker |
| 175 | 6664 | Colbourn-Martirosyan-Trung-Walker |
| 180 | 6667 | Colbourn-Martirosyan-Trung-Walker |
| 185 | 6670 | 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) |
| 1512 | 7555 | Cyclotomy (Colbourn) |
| 1513 | 9415 | 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) |
| 2792 | 13955 | Cyclotomy (Colbourn) |
| 2810 | 14044 | Colbourn-Martirosyan-Trung-Walker |
| 2880 | 14076 | Colbourn-Martirosyan-Trung-Walker |
| 3024 | 14156 | Colbourn-Martirosyan-Trung-Walker |
| 3125 | 14675 | Colbourn-Martirosyan-Trung-Walker |
| 3250 | 15075 | Colbourn-Martirosyan-Trung-Walker |
| 3375 | 15099 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 15123 | Colbourn-Martirosyan-Trung-Walker |
| 3500 | 15173 | Colbourn-Martirosyan-Trung-Walker |
| 3600 | 15176 | Colbourn-Martirosyan-Trung-Walker |
| 3625 | 15316 | Colbourn-Martirosyan-Trung-Walker |
| 3900 | 15317 | Colbourn-Martirosyan-Trung-Walker |
| 4000 | 15414 | Colbourn-Martirosyan-Trung-Walker |
| 4050 | 15434 | Colbourn-Martirosyan-Trung-Walker |
| 4200 | 15435 | Colbourn-Martirosyan-Trung-Walker |
| 4350 | 15565 | Colbourn-Martirosyan-Trung-Walker |
| 4500 | 15567 | Colbourn-Martirosyan-Trung-Walker |
| 4650 | 15661 | Colbourn-Martirosyan-Trung-Walker |
| 4800 | 15666 | Colbourn-Martirosyan-Trung-Walker |
| 4920 | 15667 | Colbourn-Martirosyan-Trung-Walker |
| 4950 | 15743 | Colbourn-Martirosyan-Trung-Walker |
| 5100 | 15748 | Colbourn-Martirosyan-Trung-Walker |
| 5125 | 15831 | Colbourn-Martirosyan-Trung-Walker |
| 5200 | 15883 | Colbourn-Martirosyan-Trung-Walker |
| 5250 | 15888 | Colbourn-Martirosyan-Trung-Walker |
| 5400 | 15891 | Colbourn-Martirosyan-Trung-Walker |
| 5550 | 15894 | Colbourn-Martirosyan-Trung-Walker |
| 5700 | 15898 | Colbourn-Martirosyan-Trung-Walker |
| 5760 | 15910 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 15986 | Colbourn-Martirosyan-Trung-Walker |
| 5850 | 16020 | Colbourn-Martirosyan-Trung-Walker |
| 6000 | 16021 | Colbourn-Martirosyan-Trung-Walker |
| 6120 | 16413 | Colbourn-Martirosyan-Trung-Walker |
| 6125 | 16416 | Colbourn-Martirosyan-Trung-Walker |
| 6250 | 16432 | Colbourn-Martirosyan-Trung-Walker |
| 6290 | 16532 | Colbourn-Martirosyan-Trung-Walker |
| 6460 | 16536 | Colbourn-Martirosyan-Trung-Walker |
| 6630 | 16582 | Colbourn-Martirosyan-Trung-Walker |
| 6800 | 16583 | Colbourn-Martirosyan-Trung-Walker |
| 7025 | 16619 | Colbourn-Martirosyan-Trung-Walker |
| 7200 | 16651 | Colbourn-Martirosyan-Trung-Walker |
| 7560 | 16731 | Colbourn-Martirosyan-Trung-Walker |
| 7565 | 18591 | Colbourn-Martirosyan-Trung-Walker |
| 7800 | 18681 | Colbourn-Martirosyan-Trung-Walker |
| 8520 | 18745 | Colbourn-Martirosyan-Trung-Walker |
| 9240 | 18777 | Colbourn-Martirosyan-Trung-Walker |
| 9510 | 18809 | Colbourn-Martirosyan-Trung-Walker |
| 9960 | 20009 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 20041 | Colbourn-Martirosyan-Trung-Walker |