| 7 | 729 | orthogonal array |
| 8 | 1134 | Torres-Jimenez |
| 9 | 1377 | 4-Restricted SCPHF RE (CL) |
| 11 | 1431 | CPHF 3-stage (TJ-IM) |
| 12 | 1455 | SCPHF Sim Annealing (TJ-IM) |
| 13 | 2181 | SCPHF Sim Annealing (TJ-IM) |
| 14 | 2701 | CPHF 3-stage (TJ-IM) |
| 15 | 2901 | CPHF 3-stage (TJ-IM) |
| 16 | 3126 | CPHF 3-stage (TJ-IM) |
| 17 | 3633 | SCPHF Sim Annealing (TJ-IM) |
| 18 | 3839 | Density (Colbourn) postop NCK |
| 19 | 3961 | CPHF 3-stage (TJ-IM) |
| 20 | 4006 | CPHF 3-stage (TJ-IM) |
| 21 | 4200 | CPHF 3-stage (TJ-IM) |
| 22 | 4400 | CPHF 3-stage (TJ-IM) |
| 23 | 4600 | CPHF 3-stage (TJ-IM) |
| 24 | 4661 | CPHF 3-stage (TJ-IM) |
| 25 | 4880 | CPHF 3-stage (TJ-IM) |
| 26 | 5020 | CPHF 3-stage (TJ-IM) |
| 27 | 5200 | CPHF 3-stage (TJ-IM) |
| 28 | 5359 | CPHF 3-stage (TJ-IM) |
| 29 | 5410 | CPHF 3-stage (TJ-IM) |
| 30 | 5572 | CPHF 3-stage (TJ-IM) |
| 31 | 5691 | CPHF 3-stage (TJ-IM) |
| 32 | 5786 | CPHF 3-stage (TJ-IM) |
| 35 | 5825 | CPHF 3-stage (TJ-IM) |
| 36 | 6248 | CPHF 3-stage (TJ-IM) |
| 37 | 6316 | CPHF 3-stage (TJ-IM) |
| 38 | 6454 | CPHF 3-stage (TJ-IM) |
| 39 | 6583 | CPHF 3-stage (TJ-IM) |
| 40 | 6663 | CPHF 3-stage (TJ-IM) |
| 41 | 6755 | CPHF 3-stage (TJ-IM) |
| 42 | 6870 | CPHF 3-stage (TJ-IM) |
| 43 | 7153 | CPHF 3-stage (TJ-IM) |
| 44 | 7264 | CPHF 3-stage (TJ-IM) |
| 45 | 7348 | CPHF 3-stage (TJ-IM) |
| 46 | 7482 | CPHF 3-stage (TJ-IM) |
| 47 | 7567 | CPHF 3-stage (TJ-IM) |
| 50 | 7576 | CPHF 3-stage (TJ-IM) |
| 51 | 7635 | CPHF 3-stage (TJ-IM) |
| 52 | 7656 | CPHF 3-stage (TJ-IM) |
| 54 | 7746 | CPHF 3-stage (TJ-IM) |
| 55 | 7797 | CPHF 3-stage (TJ-IM) |
| 58 | 7999 | CPHF 3-stage (TJ-IM) |
| 61 | 8687 | CPHF 3-stage (TJ-IM) |
| 62 | 8758 | CPHF 3-stage (TJ-IM) |
| 63 | 8955 | CPHF 3-stage (TJ-IM) |
| 64 | 9025 | CPHF 3-stage (TJ-IM) |
| 66 | 9033 | CPHF 3-stage (TJ-IM) |
| 68 | 9154 | CPHF 3-stage (TJ-IM) |
| 73 | 9249 | CPHF 3-stage (TJ-IM) |
| 82 | 9997 | CPHF 3-stage (TJ-IM) |
| 86 | 10406 | CPHF 3-stage (TJ-IM) |
| 88 | 10490 | CPHF 3-stage (TJ-IM) |
| 90 | 10673 | CPHF 3-stage (TJ-IM) |
| 96 | 10927 | CPHF 3-stage (TJ-IM) |
| 98 | 10942 | CPHF 3-stage (TJ-IM) |
| 120 | 10974 | CPHF 3-stage (TJ-IM) |
| 136 | 12297 | CPHF 3-stage (TJ-IM) |
| 350 | 14467 | CPHF 3-stage (TJ-IM) |
| 351 | 19675 | Add 1 factors |
| 352 | 22969 | Add 2 factors |
| 353 | 24427 | Add 3 factors |
| 354 | 29635 | Add 3 factors |
| 355 | 32929 | Add 3 factors |
| 356 | 34387 | Add 3 factors |
| 357 | 39595 | Add 3 factors |
| 358 | 42889 | Add 3 factors |
| 359 | 44347 | Add 3 factors |
| 360 | 49555 | Add 3 factors |
| 361 | 49598 | Power CZ2-19.13 |
| 362 | 52065 | Power CT19^2+1 |
| 363 | 54587 | Power CT19^2+2 |
| 364 | 57187 | Power CT19^2+3 |
| 560 | 57864 | perfect hash family4,560,350 |
| 678 | 60140 | Martirosyan-Colbourn |
| 700 | 65212 | Martirosyan-Colbourn |
| 702 | 67327 | Power CZ2-27.12-26.1 |
| 729 | 67477 | Power CZ2-27.13 |
| 730 | 69654 | Power CT27^2+1 |
| 754 | 69927 | Power CT29^2T3 |
| 756 | 70056 | Power CT29^2T2T1 |
| 783 | 70107 | Power CT29^2T2 |
| 784 | 70215 | Power CT29^2T1T1 |
| 812 | 70266 | Power CT29^2T1 |
| 841 | 70317 | Power CT29^2 |
| 866 | 72330 | perfect hash family5,866,350 |
| 870 | 73570 | Power CT31^2T2T1 |
| 871 | 73613 | Power CT31^2Arc(3) |
| 899 | 73689 | Power CT31^2T2 |
| 900 | 73732 | Power CT31^2T1T1 |
| 930 | 73851 | Power CT31^2T1 |
| 961 | 73970 | Power CT31^2 |
| 992 | 75110 | Power CT32^2T1 |
| 1024 | 75205 | Power CT32^2 |
| 1027 | 75712 | Power CT32^2+3 |
| 1039 | 79640 | Power CT37^2Arc(10):5 twos,0 ones |
| 1040 | 79995 | Power CT37^2Arc(12):4 twos,2 ones |
| 1068 | 80063 | Power CT37^2Arc(10):4 twos,1 ones |
| 1097 | 80131 | Power CT37^2Arc(8):4 twos,0 ones |
| 1098 | 80486 | Power CT37^2Arc(10):3 twos,2 ones |
| 1128 | 80554 | Power CT37^2Arc(8):3 twos,1 ones |
| 1159 | 80622 | Power CT37^2Arc(6):3 twos,0 ones |
| 1160 | 80977 | Power CT37^2Arc(8):2 twos,2 ones |
| 1192 | 81045 | Power CT37^2Arc(6):2 twos,1 ones |
| 1225 | 81113 | Power CT37^2T2T2 |
| 1226 | 81468 | Power CT37^2Arc(2)T2 |
| 1260 | 81536 | Power CT37^2T2T1 |
| 1295 | 81604 | Power CT37^2T2 |
| 1296 | 81959 | Power CT37^2T1T1 |
| 1332 | 82027 | Power CT37^2T1 |
| 1369 | 82095 | Power CT37^2 |
| 1370 | 83889 | Power CT37^2+1 |
| 1371 | 85566 | Power CT37^2+2 |
| 1372 | 86606 | Power CT37^2+3 |
| 1400 | 86780 | Power CT41^2T6T1 |
| 1435 | 86872 | Power CT41^2T6 |
| 1444 | 87179 | Power CT41^2Arc(2)T4 |
| 1447 | 87225 | Power CT41^2Arc(3)T3 |
| 1450 | 87250 | Power CT41^2Arc(6) |
| 1480 | 87271 | Power CT41^2T4T1 |
| 1483 | 87317 | Power CT41^2Arc(2)T3 |
| 1486 | 87342 | Power CT41^2Arc(5) |
| 1517 | 87363 | Power CT41^2T4 |
| 1520 | 87409 | Power CT41^2T3T1 |
| 1523 | 87434 | Power CT41^2Arc(4) |
| 1558 | 87501 | Power CT41^2T3 |
| 1561 | 87526 | Power CT41^2Arc(3) |
| 1600 | 87618 | Power CT41^2T1T1 |
| 1640 | 87710 | Power CT41^2T1 |
| 1681 | 87802 | Power CT41^2 |
| 1682 | 89297 | Power CT41^2+1 |
| 1683 | 91844 | Power CT43^2Arc(4) |
| 1723 | 92127 | Power CT43^2Arc(3) |
| 1764 | 92410 | Power CT43^2T1T1 |
| 1806 | 92693 | Power CT43^2T1 |
| 1849 | 92976 | Power CT43^2 |
| 1850 | 94419 | Power CT43^2+1 |
| 1851 | 95511 | Power CT43^2+2 |
| 1852 | 97253 | Power CT43^2+3 |
| 1862 | 97353 | Power CT49^2T11 |
| 1890 | 97442 | Power CT47^2T5T2 |
| 1911 | 97482 | Power CT49^2T10 |
| 1927 | 97546 | Power CT47^2T6 |
| 1960 | 97562 | Power CT49^2T9 |
| 2009 | 97654 | Power CT49^2T8 |
| 2058 | 97769 | Power CT49^2T7 |
| 2107 | 98052 | Power CT49^2T6 |
| 2115 | 98139 | Power CT47^2T2 |
| 2156 | 98163 | Power CT49^2T5 |
| 2205 | 98247 | Power CT49^2T4 |
| 2209 | 98358 | Power CT47^2 |
| 2254 | 98381 | Power CT49^2T3 |
| 2303 | 98466 | Power CT49^2T2 |
| 2402 | 98475 | Power CT49^2+1 |
| 2403 | 99242 | Power CT49^2+2 |
| 2404 | 99515 | Power CT49^2+3 |
| 2413 | 99965 | Power CT53^2Arc(8) |
| 2459 | 100055 | Power CT53^2Arc(7) |
| 2506 | 100145 | Power CT53^2Arc(6) |
| 2554 | 100235 | Power CT53^2Arc(5) |
| 2603 | 100325 | Power CT53^2Arc(4) |
| 2653 | 100415 | Power CT53^2Arc(3) |
| 2704 | 100505 | Power CT53^2T1T1 |
| 2756 | 100595 | Power CT53^2T1 |
| 2810 | 100685 | Power CT53^2+1 |
| 2811 | 101348 | Power CT53^2+2 |
| 2814 | 103974 | Power CT53^2 +5 |
| 2839 | 104662 | Power CT59^2Arc(12) |
| 2887 | 105350 | Power CT59^2Arc(11) |
| 2936 | 106038 | Power CT59^2Arc(10) |
| 2986 | 106726 | Power CT59^2Arc(9) |
| 3037 | 107414 | Power CT59^2Arc(8) |
| 3089 | 108102 | Power CT59^2Arc(7) |
| 3142 | 108790 | Power CT59^2Arc(6) |
| 3196 | 109478 | Power CT59^2Arc(5) |
| 3251 | 110166 | Power CT59^2Arc(4) |
| 3307 | 110854 | Power CT59^2Arc(3) |
| 3364 | 111542 | Power CT59^2T1T1 |
| 3538 | 112230 | Power CT61^2T3 |
| 3721 | 112918 | Power CT61^2 |
| 3722 | 113841 | Power CT61^2+1 |
| 3913 | 114020 | Power CT25^3T12S24 |
| 3939 | 114239 | Power CT25^3T12S23 |
| 3978 | 114458 | Power CT25^3T12S22 |
| 4214 | 114540 | Power CT25^3T11S24 |
| 4515 | 114740 | Power CT25^3T10S24 |
| 4545 | 114959 | Power CT25^3T10S23 |
| 4816 | 114965 | Power CT25^3T9S24 |
| 4848 | 115184 | Power CT25^3T9S23 |
| 4896 | 115403 | Power CT25^3T9S22 |
| 5117 | 115472 | Power CT25^3T8S24 |
| 5418 | 115678 | Power CT25^3T7S24 |
| 5719 | 115800 | Power CT25^3T6S24 |
| 6020 | 115845 | Power CT25^3T5S24 |
| 6321 | 116039 | Power CT25^3T4S24 |
| 6622 | 116239 | Power CT25^3T3S24 |
| 6923 | 116439 | Power CT25^3T2S24 |
| 7224 | 116500 | Power CT25^3S25 |
| 7272 | 116719 | Power CT25^3S24 |
| 7344 | 116938 | Power CT25^3S23 |
| 7440 | 117157 | Power CT25^3S22 |
| 7560 | 117376 | Power CT25^3S21 |
| 7704 | 117595 | Power CT25^3S20 |
| 7872 | 117814 | Power CT25^3S19 |
| 8064 | 118033 | Power CT25^3S18 |
| 8280 | 118252 | Power CT25^3S17 |
| 8520 | 118471 | Power CT25^3S16 |
| 8784 | 118690 | Power CT25^3S15 |
| 9072 | 118909 | Power CT25^3S14 |
| 9384 | 119128 | Power CT25^3S13 |
| 9720 | 119347 | Power CT25^3S12 |
| 10000 | 119566 | Power CT25^3S11 |