| k | N | Source |
| 6 | 625 | orthogonal array |
| 7 | 1125 | extend by one factor |
| 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 |
| 150 | 6287 | Colbourn-Martirosyan-Trung-Walker |
| 151 | 6550 | IPOG-F (NIST) |
| 170 | 6557 | Colbourn-Martirosyan-Trung-Walker |
| 185 | 6675 | 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) |
| 240 | 7565 | Colbourn-Martirosyan-Trung-Walker |
| 250 | 7837 | Colbourn-Martirosyan-Trung-Walker |
| 275 | 8013 | Colbourn-Martirosyan-Trung-Walker |
| 310 | 8045 | Colbourn-Martirosyan-Trung-Walker |
| 375 | 9165 | Colbourn-Martirosyan-Trung-Walker |
| 475 | 9785 | Colbourn-Martirosyan-Trung-Walker |
| 600 | 9945 | Colbourn-Martirosyan-Trung-Walker |
| 625 | 10851 | Colbourn-Martirosyan-Trung-Walker |
| 720 | 11251 | Colbourn-Martirosyan-Trung-Walker |
| 750 | 12107 | Colbourn-Martirosyan-Trung-Walker |
| 755 | 12370 | Colbourn-Martirosyan-Trung-Walker |
| 800 | 12377 | Colbourn-Martirosyan-Trung-Walker |
| 850 | 12537 | Colbourn-Martirosyan-Trung-Walker |
| 875 | 12655 | Colbourn-Martirosyan-Trung-Walker |
| 925 | 12719 | Colbourn-Martirosyan-Trung-Walker |
| 930 | 12986 | Colbourn-Martirosyan-Trung-Walker |
| 935 | 12991 | Colbourn-Martirosyan-Trung-Walker |
| 940 | 13001 | Colbourn-Martirosyan-Trung-Walker |
| 945 | 13010 | Colbourn-Martirosyan-Trung-Walker |
| 950 | 13020 | Colbourn-Martirosyan-Trung-Walker |
| 955 | 13031 | Colbourn-Martirosyan-Trung-Walker |
| 960 | 13041 | Colbourn-Martirosyan-Trung-Walker |
| 965 | 13051 | Colbourn-Martirosyan-Trung-Walker |
| 970 | 13060 | Colbourn-Martirosyan-Trung-Walker |
| 975 | 13069 | Colbourn-Martirosyan-Trung-Walker |
| 980 | 13078 | Colbourn-Martirosyan-Trung-Walker |
| 985 | 13089 | Colbourn-Martirosyan-Trung-Walker |
| 990 | 13095 | Colbourn-Martirosyan-Trung-Walker |
| 995 | 13107 | Colbourn-Martirosyan-Trung-Walker |
| 1000 | 13117 | Colbourn-Martirosyan-Trung-Walker |
| 1005 | 13126 | Colbourn-Martirosyan-Trung-Walker |
| 1010 | 13136 | Colbourn-Martirosyan-Trung-Walker |
| 1015 | 13144 | Colbourn-Martirosyan-Trung-Walker |
| 1020 | 13151 | Colbourn-Martirosyan-Trung-Walker |
| 1025 | 13160 | Colbourn-Martirosyan-Trung-Walker |
| 1030 | 13219 | Colbourn-Martirosyan-Trung-Walker |
| 1035 | 13231 | Colbourn-Martirosyan-Trung-Walker |
| 1040 | 13237 | Colbourn-Martirosyan-Trung-Walker |
| 1050 | 13657 | Colbourn-Martirosyan-Trung-Walker |
| 1200 | 13673 | Colbourn-Martirosyan-Trung-Walker |
| 1250 | 14249 | Colbourn-Martirosyan-Trung-Walker |
| 1320 | 14509 | Colbourn-Martirosyan-Trung-Walker |
| 1375 | 14573 | Colbourn-Martirosyan-Trung-Walker |
| 1440 | 14605 | Colbourn-Martirosyan-Trung-Walker |
| 1470 | 14697 | Colbourn-Martirosyan-Trung-Walker |
| 1540 | 14713 | Colbourn-Martirosyan-Trung-Walker |
| 1550 | 14737 | Colbourn-Martirosyan-Trung-Walker |
| 1625 | 15833 | Colbourn-Martirosyan-Trung-Walker |
| 1760 | 15865 | Colbourn-Martirosyan-Trung-Walker |
| 1875 | 15881 | Colbourn-Martirosyan-Trung-Walker |
| 2199 | 16173 | Power 15^3 |
| 2250 | 16533 | Colbourn-Martirosyan-Trung-Walker |
| 2375 | 16549 | Colbourn-Martirosyan-Trung-Walker |
| 2880 | 16745 | Colbourn-Martirosyan-Trung-Walker |
| 3000 | 16885 | Colbourn-Martirosyan-Trung-Walker |
| 3125 | 17971 | Colbourn-Martirosyan-Trung-Walker |
| 3375 | 18795 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 18819 | Colbourn-Martirosyan-Trung-Walker |
| 3600 | 18873 | Colbourn-Martirosyan-Trung-Walker |
| 3750 | 19869 | Colbourn-Martirosyan-Trung-Walker |
| 3900 | 20139 | Colbourn-Martirosyan-Trung-Walker |
| 4000 | 20241 | Colbourn-Martirosyan-Trung-Walker |
| 4200 | 20421 | Colbourn-Martirosyan-Trung-Walker |
| 4250 | 20549 | Colbourn-Martirosyan-Trung-Walker |
| 4375 | 20667 | Colbourn-Martirosyan-Trung-Walker |
| 4500 | 20731 | Colbourn-Martirosyan-Trung-Walker |
| 4625 | 20841 | Colbourn-Martirosyan-Trung-Walker |
| 4650 | 21108 | Colbourn-Martirosyan-Trung-Walker |
| 4675 | 21113 | Colbourn-Martirosyan-Trung-Walker |
| 4700 | 21123 | Colbourn-Martirosyan-Trung-Walker |
| 4725 | 21132 | Colbourn-Martirosyan-Trung-Walker |
| 4750 | 21142 | Colbourn-Martirosyan-Trung-Walker |
| 4775 | 21153 | Colbourn-Martirosyan-Trung-Walker |
| 4800 | 21163 | Colbourn-Martirosyan-Trung-Walker |
| 4825 | 21173 | Colbourn-Martirosyan-Trung-Walker |
| 4850 | 21182 | Colbourn-Martirosyan-Trung-Walker |
| 4875 | 21191 | Colbourn-Martirosyan-Trung-Walker |
| 4900 | 21200 | Colbourn-Martirosyan-Trung-Walker |
| 4920 | 21211 | Colbourn-Martirosyan-Trung-Walker |
| 4925 | 21287 | Colbourn-Martirosyan-Trung-Walker |
| 4950 | 21293 | Colbourn-Martirosyan-Trung-Walker |
| 4975 | 21305 | Colbourn-Martirosyan-Trung-Walker |
| 5000 | 21315 | Colbourn-Martirosyan-Trung-Walker |
| 5025 | 21324 | Colbourn-Martirosyan-Trung-Walker |
| 5050 | 21334 | Colbourn-Martirosyan-Trung-Walker |
| 5075 | 21342 | Colbourn-Martirosyan-Trung-Walker |
| 5100 | 21349 | Colbourn-Martirosyan-Trung-Walker |
| 5125 | 21460 | Colbourn-Martirosyan-Trung-Walker |
| 5200 | 21565 | Colbourn-Martirosyan-Trung-Walker |
| 5250 | 22017 | Colbourn-Martirosyan-Trung-Walker |
| 5760 | 22033 | Colbourn-Martirosyan-Trung-Walker |
| 5780 | 22109 | Colbourn-Martirosyan-Trung-Walker |
| 6000 | 22179 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 22369 | linear hash family |