| k | N | Source |
| 4 | 216 | Derive from strength 4 |
| 5 | 240 | cross-sum (CKRS) |
| 6 | 258 | cross-sum (CKRS) |
| 7 | 293 | simulated annealing (CKRS) |
| 8 | 304 | simulated annealing (CKRS) |
| 9 | 379 | simulated annealing (CKRS) |
| 10 | 393 | simulated annealing (CKRS) |
| 12 | 463 | Chateauneuf-Kreher doubling |
| 13 | 494 | Chateauneuf-Kreher doubling postop NCK |
| 14 | 498 | Chateauneuf-Kreher doubling postop NCK |
| 15 | 508 | Chateauneuf-Kreher doubling postop NCK |
| 16 | 510 | Chateauneuf-Kreher doubling postop NCK |
| 17 | 604 | Chateauneuf-Kreher doubling postop NCK |
| 18 | 608 | Chateauneuf-Kreher doubling postop NCK |
| 104 | 624 | Cyclotomy (Colbourn) |
| 109 | 654 | Cyclotomy (Colbourn) |
| 128 | 762 | Cyclotomy (Colbourn) |
| 139 | 834 | Cyclotomy (Colbourn) |
| 152 | 906 | Cyclotomy (Colbourn) |
| 157 | 942 | Cyclotomy (Colbourn) |
| 158 | 972 | Cyclotomy (Colbourn) |
| 164 | 978 | Cyclotomy (Colbourn) |
| 168 | 1044 | Chateauneuf-Kreher doubling |
| 172 | 1049 | Chateauneuf-Kreher doubling |
| 178 | 1054 | Chateauneuf-Kreher doubling |
| 186 | 1059 | Chateauneuf-Kreher doubling |
| 194 | 1064 | Chateauneuf-Kreher doubling |
| 198 | 1069 | Chateauneuf-Kreher doubling |
| 208 | 1074 | Chateauneuf-Kreher doubling |
| 214 | 1114 | Chateauneuf-Kreher doubling |
| 218 | 1119 | Chateauneuf-Kreher doubling |
| 226 | 1227 | Chateauneuf-Kreher doubling |
| 240 | 1232 | Chateauneuf-Kreher doubling |
| 248 | 1237 | Chateauneuf-Kreher doubling |
| 256 | 1242 | Chateauneuf-Kreher doubling |
| 260 | 1302 | Cohen-Colbourn-Ling |
| 276 | 1308 | Cohen-Colbourn-Ling |
| 300 | 1314 | Cohen-Colbourn-Ling |
| 312 | 1320 | Cohen-Colbourn-Ling |
| 316 | 1326 | Cohen-Colbourn-Ling |
| 320 | 1332 | Cohen-Colbourn-Ling |
| 328 | 1338 | Cohen-Colbourn-Ling |
| 336 | 1344 | Cohen-Colbourn-Ling |
| 344 | 1350 | Cohen-Colbourn-Ling |
| 356 | 1356 | Cohen-Colbourn-Ling |
| 372 | 1362 | Cohen-Colbourn-Ling |
| 388 | 1368 | Cohen-Colbourn-Ling |
| 396 | 1374 | Cohen-Colbourn-Ling |
| 416 | 1380 | Cohen-Colbourn-Ling |
| 428 | 1422 | Cohen-Colbourn-Ling |
| 436 | 1428 | Cohen-Colbourn-Ling |
| 450 | 1435 | Cohen-Colbourn-Ling |
| 468 | 1442 | Cohen-Colbourn-Ling |
| 474 | 1449 | Cohen-Colbourn-Ling |
| 480 | 1456 | Cohen-Colbourn-Ling |
| 504 | 1460 | Cohen-Colbourn-Ling |
| 520 | 1467 | Cohen-Colbourn-Ling |
| 525 | 1470 | Cohen-Colbourn-Ling |
| 552 | 1474 | Cohen-Colbourn-Ling |
| 600 | 1481 | Cohen-Colbourn-Ling |
| 624 | 1488 | Cohen-Colbourn-Ling |
| 632 | 1495 | Cohen-Colbourn-Ling |
| 640 | 1502 | Cohen-Colbourn-Ling |
| 656 | 1509 | Cohen-Colbourn-Ling |
| 672 | 1516 | Cohen-Colbourn-Ling |
| 688 | 1523 | Cohen-Colbourn-Ling |
| 712 | 1530 | Cohen-Colbourn-Ling |
| 744 | 1537 | Cohen-Colbourn-Ling |
| 776 | 1544 | Cohen-Colbourn-Ling |
| 792 | 1551 | Cohen-Colbourn-Ling |
| 832 | 1558 | Cohen-Colbourn-Ling |
| 856 | 1602 | Cohen-Colbourn-Ling |
| 872 | 1609 | Cohen-Colbourn-Ling |
| 890 | 1705 | Cohen-Colbourn-Ling |
| 930 | 1713 | Cohen-Colbourn-Ling |
| 970 | 1721 | Cohen-Colbourn-Ling |
| 990 | 1729 | Cohen-Colbourn-Ling |
| 992 | 1731 | Cohen-Colbourn-Ling |
| 1040 | 1737 | Cohen-Colbourn-Ling |
| 1070 | 1783 | Cohen-Colbourn-Ling |
| 1090 | 1791 | Cohen-Colbourn-Ling |
| 1112 | 1810 | Cohen-Colbourn-Ling |
| 1116 | 1870 | Cohen-Colbourn-Ling |
| 1164 | 1879 | Cohen-Colbourn-Ling |
| 1188 | 1888 | Cohen-Colbourn-Ling |
| 1208 | 1896 | Cohen-Colbourn-Ling |
| 1248 | 1897 | Cohen-Colbourn-Ling |
| 1261 | 1910 | Cohen-Colbourn-Ling |
| 1287 | 1919 | Cohen-Colbourn-Ling |
| 1352 | 1928 | Cohen-Colbourn-Ling |
| 1391 | 1976 | Cohen-Colbourn-Ling |
| 1417 | 1985 | Cohen-Colbourn-Ling |
| 1424 | 1994 | Cohen-Colbourn-Ling |
| 1488 | 2004 | Cohen-Colbourn-Ling |
| 1552 | 2014 | Cohen-Colbourn-Ling |
| 1584 | 2024 | Cohen-Colbourn-Ling |
| 1664 | 2034 | Cohen-Colbourn-Ling |
| 1680 | 2068 | Cohen-Colbourn-Ling |
| 1722 | 2078 | Cohen-Colbourn-Ling |
| 1764 | 2088 | Cohen-Colbourn-Ling |
| 1806 | 2098 | Cohen-Colbourn-Ling |
| 1869 | 2108 | Cohen-Colbourn-Ling |
| 1953 | 2118 | Cohen-Colbourn-Ling |
| 2037 | 2128 | Cohen-Colbourn-Ling |
| 2079 | 2138 | Cohen-Colbourn-Ling |
| 2184 | 2148 | Cohen-Colbourn-Ling |
| 2247 | 2198 | Cohen-Colbourn-Ling |
| 2289 | 2208 | Cohen-Colbourn-Ling |
| 2392 | 2238 | Cohen-Colbourn-Ling |
| 2560 | 2270 | Cohen-Colbourn-Ling |
| 2688 | 2284 | Cohen-Colbourn-Ling |
| 3328 | 2298 | Cohen-Colbourn-Ling |
| 4032 | 2312 | Cohen-Colbourn-Ling |
| 4160 | 2326 | Cohen-Colbourn-Ling |
| 4416 | 2340 | Cohen-Colbourn-Ling |
| 4800 | 2354 | Cohen-Colbourn-Ling |
| 4992 | 2368 | Cohen-Colbourn-Ling |
| 5056 | 2382 | Cohen-Colbourn-Ling |
| 5120 | 2396 | Cohen-Colbourn-Ling |
| 5200 | 2403 | Cohen-Colbourn-Ling |
| 5248 | 2410 | Cohen-Colbourn-Ling |
| 5520 | 2418 | Cohen-Colbourn-Ling |
| 6000 | 2433 | Cohen-Colbourn-Ling |
| 6240 | 2448 | Cohen-Colbourn-Ling |
| 6320 | 2463 | Cohen-Colbourn-Ling |
| 6552 | 2464 | Cohen-Colbourn-Ling |
| 6760 | 2480 | Cohen-Colbourn-Ling |
| 10000 | 2492 | Power CT100^2 |