| 4 | 216 | Derive from strength 4 |
| 5 | 240 | cross-sum (CKRS) |
| 6 | 258 | cross-sum (CKRS) |
| 7 | 290 | Torres Jimenez |
| 8 | 301 | Torres Jimenez |
| 9 | 361 | Torres Jimenez |
| 10 | 380 | Torres Jimenez |
| 11 | 420 | Torres Jimenez |
| 12 | 463 | Chateauneuf-Kreher doubling |
| 13 | 490 | Torres Jimenez |
| 14 | 498 | Chateauneuf-Kreher doubling postop NCK |
| 15 | 506 | Chateauneuf-Kreher doubling postop NCK |
| 16 | 510 | Chateauneuf-Kreher doubling postop NCK |
| 17 | 549 | Torres Jimenez |
| 18 | 591 | Torres Jimenez |
| 20 | 620 | Chateauneuf-Kreher doubling |
| 104 | 624 | Cyclotomy (Colbourn) |
| 122 | 726 | Cyclotomy (Torres-Jimenez) |
| 128 | 762 | Cyclotomy (Colbourn) |
| 152 | 906 | Cyclotomy (Colbourn) |
| 164 | 978 | Cyclotomy (Colbourn) |
| 170 | 1020 | Cyclotomy (Torres-Jimenez) |
| 172 | 1049 | Chateauneuf-Kreher doubling |
| 178 | 1054 | Chateauneuf-Kreher doubling |
| 188 | 1059 | Chateauneuf-Kreher doubling |
| 200 | 1064 | Chateauneuf-Kreher doubling |
| 204 | 1069 | Chateauneuf-Kreher doubling |
| 208 | 1074 | Chateauneuf-Kreher doubling |
| 220 | 1176 | Chateauneuf-Kreher doubling |
| 238 | 1181 | Chateauneuf-Kreher doubling |
| 244 | 1186 | Chateauneuf-Kreher doubling |
| 256 | 1222 | Chateauneuf-Kreher doubling |
| 264 | 1270 | Cohen-Colbourn-Ling |
| 268 | 1276 | Cohen-Colbourn-Ling |
| 272 | 1282 | Cohen-Colbourn-Ling |
| 296 | 1286 | Cohen-Colbourn-Ling |
| 316 | 1306 | Cohen-Colbourn-Ling |
| 344 | 1318 | Cohen-Colbourn-Ling |
| 356 | 1330 | Cohen-Colbourn-Ling |
| 372 | 1336 | Cohen-Colbourn-Ling |
| 392 | 1342 | Cohen-Colbourn-Ling |
| 404 | 1348 | Cohen-Colbourn-Ling |
| 416 | 1350 | Cohen-Colbourn-Ling |
| 424 | 1370 | Cohen-Colbourn-Ling |
| 504 | 1405 | Cohen-Colbourn-Ling |
| 520 | 1422 | Cohen-Colbourn-Ling |
| 552 | 1427 | Cohen-Colbourn-Ling |
| 624 | 1440 | Cohen-Colbourn-Ling |
| 664 | 1463 | Cohen-Colbourn-Ling |
| 728 | 1488 | Cohen-Colbourn-Ling |
| 832 | 1499 | Cohen-Colbourn-Ling |
| 854 | 1616 | Cohen-Colbourn-Ling |
| 976 | 1627 | Cohen-Colbourn-Ling |
| 992 | 1663 | Cohen-Colbourn-Ling |
| 1024 | 1670 | Cohen-Colbourn-Ling |
| 1040 | 1690 | Cohen-Colbourn-Ling |
| 1098 | 1773 | Cohen-Colbourn-Ling |
| 1144 | 1778 | Cohen-Colbourn-Ling |
| 1220 | 1792 | Cohen-Colbourn-Ling |
| 1240 | 1828 | Cohen-Colbourn-Ling |
| 1280 | 1836 | Cohen-Colbourn-Ling |
| 1855 | 1869 | perfect hash family3,1855,104 |
| 1856 | 2049 | Add a factor |
| 1868 | 2056 | Cohen-Colbourn-Ling |
| 1872 | 2061 | Cohen-Colbourn-Ling |
| 1952 | 2066 | Cohen-Colbourn-Ling |
| 2492 | 2073 | perfect hash family3,2906,122T18 |
| 2600 | 2145 | perfect hash family3,3125,125T21 |
| 2788 | 2169 | Cohen-Colbourn-Ling |
| 2907 | 2175 | perfect hash family3,2978,123S3 |
| 2964 | 2182 | Cohen-Colbourn-Ling |
| 3008 | 2195 | Cohen-Colbourn-Ling |
| 3052 | 2208 | Cohen-Colbourn-Ling |
| 3096 | 2221 | Cohen-Colbourn-Ling |
| 3560 | 2226 | Cohen-Colbourn-Ling |
| 4008 | 2240 | Cohen-Colbourn-Ling |
| 4264 | 2254 | Cohen-Colbourn-Ling |
| 4328 | 2268 | Cohen-Colbourn-Ling |
| 4392 | 2282 | Cohen-Colbourn-Ling |
| 4456 | 2296 | Cohen-Colbourn-Ling |
| 4584 | 2310 | Cohen-Colbourn-Ling |
| 4984 | 2311 | Cohen-Colbourn-Ling |
| 5304 | 2326 | Cohen-Colbourn-Ling |
| 5384 | 2341 | Cohen-Colbourn-Ling |
| 5464 | 2356 | Cohen-Colbourn-Ling |
| 5720 | 2366 | Cohen-Colbourn-Ling |
| 6448 | 2382 | Cohen-Colbourn-Ling |
| 6864 | 2398 | Cohen-Colbourn-Ling |
| 6968 | 2414 | Cohen-Colbourn-Ling |
| 7072 | 2430 | Cohen-Colbourn-Ling |
| 7176 | 2446 | Cohen-Colbourn-Ling |
| 7384 | 2462 | Cohen-Colbourn-Ling |
| 7592 | 2478 | Cohen-Colbourn-Ling |
| 10000 | 2492 | Power CT100^2 |