| 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 |
| 14 | 503 | Chateauneuf-Kreher doubling |
| 16 | 514 | Chateauneuf-Kreher doubling |
| 18 | 609 | Chateauneuf-Kreher doubling |
| 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) |
| 178 | 1079 | Chateauneuf-Kreher doubling |
| 180 | 1084 | Chateauneuf-Kreher doubling |
| 182 | 1086 | Cyclotomy (Colbourn) |
| 192 | 1089 | Chateauneuf-Kreher doubling |
| 196 | 1094 | Chateauneuf-Kreher doubling |
| 198 | 1099 | Chateauneuf-Kreher doubling |
| 208 | 1104 | Chateauneuf-Kreher doubling |
| 214 | 1134 | Chateauneuf-Kreher doubling |
| 218 | 1139 | Chateauneuf-Kreher doubling |
| 228 | 1247 | Chateauneuf-Kreher doubling |
| 240 | 1252 | Chateauneuf-Kreher doubling |
| 256 | 1262 | Chateauneuf-Kreher doubling |
| 260 | 1334 | Chateauneuf-Kreher doubling |
| 268 | 1339 | Chateauneuf-Kreher doubling |
| 270 | 1344 | Chateauneuf-Kreher doubling |
| 278 | 1349 | Chateauneuf-Kreher doubling |
| 315 | 1410 | Cohen-Colbourn-Ling |
| 378 | 1428 | Cohen-Colbourn-Ling |
| 441 | 1463 | Cohen-Colbourn-Ling |
| 448 | 1499 | Cohen-Colbourn-Ling |
| 474 | 1500 | Cohen-Colbourn-Ling |
| 480 | 1512 | Cohen-Colbourn-Ling |
| 553 | 1535 | Cohen-Colbourn-Ling |
| 560 | 1547 | Cohen-Colbourn-Ling |
| 609 | 1571 | Cohen-Colbourn-Ling |
| 618 | 1602 | Cohen-Colbourn-Ling |
| 693 | 1607 | Cohen-Colbourn-Ling |
| 700 | 1619 | Cohen-Colbourn-Ling |
| 721 | 1637 | Cohen-Colbourn-Ling |
| 728 | 1643 | Cohen-Colbourn-Ling |
| 763 | 1673 | Cohen-Colbourn-Ling |
| 768 | 1788 | Cohen-Colbourn-Ling |
| 784 | 1793 | Cohen-Colbourn-Ling |
| 798 | 1799 | Cohen-Colbourn-Ling |
| 833 | 1805 | Cohen-Colbourn-Ling |
| 847 | 1811 | Cohen-Colbourn-Ling |
| 889 | 1817 | Cohen-Colbourn-Ling |
| 896 | 1823 | Cohen-Colbourn-Ling |
| 1000 | 1869 | perfect hash family3,1000,100 |
| 1024 | 1948 | Cohen-Colbourn-Ling |
| 1043 | 1985 | Cohen-Colbourn-Ling |
| 1064 | 1997 | Cohen-Colbourn-Ling |
| 1112 | 2020 | Cohen-Colbourn-Ling |
| 1148 | 2069 | Cohen-Colbourn-Ling |
| 1216 | 2092 | Cohen-Colbourn-Ling |
| 1256 | 2128 | Cohen-Colbourn-Ling |
| 1264 | 2158 | Cohen-Colbourn-Ling |
| 1312 | 2164 | Cohen-Colbourn-Ling |
| 1344 | 2180 | Cohen-Colbourn-Ling |
| 1372 | 2185 | Cohen-Colbourn-Ling |
| 1386 | 2190 | Cohen-Colbourn-Ling |
| 1456 | 2195 | Cohen-Colbourn-Ling |
| 1498 | 2225 | Cohen-Colbourn-Ling |
| 1526 | 2230 | Cohen-Colbourn-Ling |
| 1536 | 2275 | Cohen-Colbourn-Ling |
| 1568 | 2280 | Cohen-Colbourn-Ling |
| 1584 | 2285 | Cohen-Colbourn-Ling |
| 1664 | 2290 | Cohen-Colbourn-Ling |
| 1712 | 2320 | Cohen-Colbourn-Ling |
| 1744 | 2325 | Cohen-Colbourn-Ling |
| 3087 | 2340 | Cohen-Colbourn-Ling |
| 3136 | 2412 | Cohen-Colbourn-Ling |
| 3185 | 2460 | Cohen-Colbourn-Ling |
| 3871 | 2484 | Cohen-Colbourn-Ling |
| 10000 | 2492 | Power 100^2 |