| k | N | Source |
| 6 | 100000 | Derive from strength 6 |
| 7 | 120000 | Ji-Li-Yin |
| 8 | 137173 | Add a symbol |
| 9 | 152414 | Add a symbol |
| 12 | 161049 | orthogonal array fuse |
| 13 | 278319 | Add a factor |
| 14 | 330680 | Martirosyan-Tran van Trung |
| 16 | 357056 | Martirosyan-Tran van Trung |
| 18 | 373069 | Martirosyan-Tran van Trung |
| 22 | 381704 | Martirosyan-Tran van Trung |
| 24 | 382476 | Martirosyan-Tran van Trung |
| 25 | 594516 | Add a factor |
| 26 | 596022 | Martirosyan-Tran van Trung |
| 28 | 653033 | Martirosyan-Tran van Trung |
| 30 | 725469 | Martirosyan-Tran van Trung |
| 32 | 732417 | Martirosyan-Tran van Trung |
| 34 | 753834 | Martirosyan-Tran van Trung |
| 36 | 756150 | Martirosyan-Tran van Trung |
| 38 | 767873 | Martirosyan-Tran van Trung |
| 40 | 770189 | Martirosyan-Tran van Trung |
| 42 | 777137 | Martirosyan-Tran van Trung |
| 44 | 784857 | Martirosyan-Tran van Trung |
| 46 | 792577 | Martirosyan-Tran van Trung |
| 48 | 859146 | Martirosyan-Tran van Trung |
| 49 | 1097556 | Add a factor |
| 50 | 1214642 | Martirosyan-Tran van Trung |
| 52 | 1216148 | Martirosyan-Tran van Trung |
| 56 | 1273177 | Martirosyan-Tran van Trung |
| 60 | 1389650 | Martirosyan-Tran van Trung |
| 64 | 1404158 | Martirosyan-Tran van Trung |
| 66 | 1425575 | Martirosyan-Tran van Trung |
| 68 | 1442126 | Martirosyan-Tran van Trung |
| 70 | 1444442 | Martirosyan-Tran van Trung |
| 72 | 1451390 | Martirosyan-Tran van Trung |
| 74 | 1464657 | Martirosyan-Tran van Trung |
| 76 | 1465429 | Martirosyan-Tran van Trung |
| 80 | 1467745 | Martirosyan-Tran van Trung |
| 84 | 1481497 | Martirosyan-Tran van Trung |
| 88 | 1489217 | Martirosyan-Tran van Trung |
| 92 | 1498438 | Martirosyan-Tran van Trung |
| 96 | 1630032 | Martirosyan-Tran van Trung |
| 99 | 1762893 | Power 11^2T2 |
| 121 | 1771449 | perfect hash family11,121,11,c fuse |
| 122 | 1771528 | Power 11^2+1 |
| 123 | 2106598 | Add a factor |
| 124 | 2188387 | Martirosyan-Tran van Trung |
| 128 | 2189159 | Martirosyan-Tran van Trung |
| 132 | 2210576 | Martirosyan-Tran van Trung |
| 136 | 2227127 | Martirosyan-Tran van Trung |
| 140 | 2229443 | Martirosyan-Tran van Trung |
| 142 | 2236391 | Martirosyan-Tran van Trung |
| 144 | 2237935 | Martirosyan-Tran van Trung |
| 148 | 2251202 | Martirosyan-Tran van Trung |
| 152 | 2251974 | Martirosyan-Tran van Trung |
| 156 | 2254290 | Martirosyan-Tran van Trung |
| 158 | 2261238 | Martirosyan-Tran van Trung |
| 160 | 2262782 | Martirosyan-Tran van Trung |
| 168 | 2276534 | Martirosyan-Tran van Trung |
| 176 | 2284254 | Martirosyan-Tran van Trung |
| 182 | 2293475 | Martirosyan-Tran van Trung |
| 184 | 2294247 | Martirosyan-Tran van Trung |
| 192 | 2425841 | Martirosyan-Tran van Trung |
| 198 | 2558703 | Martirosyan-Tran van Trung |
| 242 | 2567258 | Martirosyan-Tran van Trung |
| 244 | 2589117 | Martirosyan-Tran van Trung |
| 246 | 2924187 | Martirosyan-Tran van Trung |
| 248 | 3006748 | Martirosyan-Tran van Trung |
| 256 | 3007520 | Martirosyan-Tran van Trung |
| 264 | 3028937 | Martirosyan-Tran van Trung |
| 266 | 3227738 | Martirosyan-Tran van Trung |
| 268 | 3232499 | Martirosyan-Tran van Trung |
| 272 | 3233271 | Martirosyan-Tran van Trung |
| 280 | 3235587 | Martirosyan-Tran van Trung |
| 284 | 3242535 | Martirosyan-Tran van Trung |
| 286 | 3244079 | Martirosyan-Tran van Trung |
| 288 | 3281544 | Martirosyan-Tran van Trung |
| 296 | 3294811 | Martirosyan-Tran van Trung |
| 304 | 3295583 | Martirosyan-Tran van Trung |
| 308 | 3297899 | Martirosyan-Tran van Trung |
| 312 | 3347435 | Martirosyan-Tran van Trung |
| 316 | 3356699 | Martirosyan-Tran van Trung |
| 320 | 3358243 | Martirosyan-Tran van Trung |
| 336 | 3371995 | Martirosyan-Tran van Trung |
| 338 | 3379715 | Martirosyan-Tran van Trung |
| 352 | 3384347 | Martirosyan-Tran van Trung |
| 364 | 3448018 | Martirosyan-Tran van Trung |
| 368 | 3456510 | Martirosyan-Tran van Trung |
| 384 | 3588104 | Martirosyan-Tran van Trung |
| 390 | 3720966 | Martirosyan-Tran van Trung |
| 392 | 3724826 | Martirosyan-Tran van Trung |
| 396 | 3725598 | Martirosyan-Tran van Trung |
| 416 | 3736469 | Martirosyan-Tran van Trung |
| 424 | 3741101 | Martirosyan-Tran van Trung |
| 448 | 3741873 | Martirosyan-Tran van Trung |
| 468 | 3744189 | Martirosyan-Tran van Trung |
| 484 | 3747277 | Martirosyan-Tran van Trung |
| 488 | 3769136 | Martirosyan-Tran van Trung |
| 506 | 3823978 | Power N23^2T1 |
| 530 | 3824750 | Power N23^2+1 |
| 531 | 4311650 | Add a factor |
| 532 | 4695094 | Martirosyan-Tran van Trung |
| 536 | 4699855 | Martirosyan-Tran van Trung |
| 544 | 4700627 | Martirosyan-Tran van Trung |
| 546 | 4702943 | Martirosyan-Tran van Trung |
| 552 | 4707575 | Martirosyan-Tran van Trung |
| 560 | 4741892 | Martirosyan-Tran van Trung |
| 564 | 4749612 | Martirosyan-Tran van Trung |
| 568 | 4751928 | Martirosyan-Tran van Trung |
| 572 | 4753472 | Martirosyan-Tran van Trung |
| 574 | 4801686 | Martirosyan-Tran van Trung |
| 576 | 4803230 | Martirosyan-Tran van Trung |
| 588 | 4816497 | Martirosyan-Tran van Trung |
| 592 | 4817269 | Martirosyan-Tran van Trung |
| 604 | 4818041 | Martirosyan-Tran van Trung |
| 608 | 4820357 | Martirosyan-Tran van Trung |
| 616 | 4822673 | Martirosyan-Tran van Trung |
| 618 | 4893026 | Martirosyan-Tran van Trung |
| 624 | 4900334 | Martirosyan-Tran van Trung |
| 632 | 4909598 | Martirosyan-Tran van Trung |
| 640 | 4911142 | Martirosyan-Tran van Trung |
| 642 | 4924894 | Martirosyan-Tran van Trung |
| 660 | 4939942 | Martirosyan-Tran van Trung |
| 672 | 4945306 | Martirosyan-Tran van Trung |
| 676 | 4953026 | Martirosyan-Tran van Trung |
| 680 | 4957658 | Martirosyan-Tran van Trung |
| 704 | 4958430 | Martirosyan-Tran van Trung |
| 728 | 5022101 | Martirosyan-Tran van Trung |
| 736 | 5030593 | Martirosyan-Tran van Trung |
| 740 | 5162187 | Martirosyan-Tran van Trung |
| 768 | 5162959 | Martirosyan-Tran van Trung |
| 780 | 5295821 | Martirosyan-Tran van Trung |
| 784 | 5299681 | Martirosyan-Tran van Trung |
| 792 | 5300453 | Martirosyan-Tran van Trung |
| 830 | 5311324 | Martirosyan-Tran van Trung |
| 832 | 5312868 | Martirosyan-Tran van Trung |
| 848 | 5317500 | Martirosyan-Tran van Trung |
| 896 | 5318272 | Martirosyan-Tran van Trung |
| 936 | 5320588 | Martirosyan-Tran van Trung |
| 968 | 5331396 | Martirosyan-Tran van Trung |
| 976 | 5353255 | Martirosyan-Tran van Trung |
| 1012 | 5408097 | Martirosyan-Tran van Trung |
| 1060 | 5408869 | Martirosyan-Tran van Trung |
| 1062 | 5895769 | Martirosyan-Tran van Trung |
| 1064 | 6279213 | Martirosyan-Tran van Trung |
| 1072 | 6283974 | Martirosyan-Tran van Trung |
| 1088 | 6284746 | Martirosyan-Tran van Trung |
| 1092 | 6287062 | Martirosyan-Tran van Trung |
| 1100 | 6291694 | Martirosyan-Tran van Trung |
| 1104 | 6390694 | Martirosyan-Tran van Trung |
| 1120 | 6425011 | Martirosyan-Tran van Trung |
| 1128 | 6432731 | Martirosyan-Tran van Trung |
| 1136 | 6435047 | Martirosyan-Tran van Trung |
| 1144 | 6436591 | Martirosyan-Tran van Trung |
| 1148 | 6484805 | Martirosyan-Tran van Trung |
| 1152 | 6486349 | Martirosyan-Tran van Trung |
| 1176 | 6499616 | Martirosyan-Tran van Trung |
| 1184 | 6500388 | Martirosyan-Tran van Trung |
| 1208 | 6501160 | Martirosyan-Tran van Trung |
| 1216 | 6503476 | Martirosyan-Tran van Trung |
| 1218 | 6505792 | Martirosyan-Tran van Trung |
| 1232 | 6506564 | Martirosyan-Tran van Trung |
| 1236 | 6576917 | Martirosyan-Tran van Trung |
| 1248 | 6584225 | Martirosyan-Tran van Trung |
| 1264 | 6593489 | Martirosyan-Tran van Trung |
| 1280 | 6595033 | Martirosyan-Tran van Trung |
| 1284 | 6608785 | Martirosyan-Tran van Trung |
| 1320 | 6623833 | Martirosyan-Tran van Trung |
| 1328 | 6629197 | Martirosyan-Tran van Trung |
| 1344 | 6629969 | Martirosyan-Tran van Trung |
| 1352 | 6637689 | Martirosyan-Tran van Trung |
| 1360 | 6642321 | Martirosyan-Tran van Trung |
| 1408 | 6643093 | Martirosyan-Tran van Trung |
| 1448 | 6706764 | Martirosyan-Tran van Trung |
| 1456 | 6707536 | Martirosyan-Tran van Trung |
| 1472 | 6716028 | Martirosyan-Tran van Trung |
| 1480 | 6847622 | Martirosyan-Tran van Trung |
| 1484 | 6848394 | Martirosyan-Tran van Trung |
| 1536 | 6849166 | Martirosyan-Tran van Trung |
| 1561 | 6973380 | Power N41^2S3 |
| 1600 | 6980328 | Power N41^2T1T1 |
| 1640 | 6987276 | Power N41^2T1 |
| 1682 | 6994224 | Power N41^2+1 |
| 1696 | 7003707 | Martirosyan-Tran van Trung |
| 1716 | 7004479 | Martirosyan-Tran van Trung |
| 1792 | 7005251 | Martirosyan-Tran van Trung |
| 1872 | 7007567 | Martirosyan-Tran van Trung |
| 1936 | 7020691 | Martirosyan-Tran van Trung |
| 1952 | 7042550 | Martirosyan-Tran van Trung |
| 2024 | 7097392 | Martirosyan-Tran van Trung |
| 2028 | 7098164 | Martirosyan-Tran van Trung |
| 2120 | 7102796 | Martirosyan-Tran van Trung |
| 2208 | 7565245 | Power 23^3T15T11 |
| 2484 | 7580486 | Power 23^3T14T11 |
| 3312 | 7589121 | Power 23^3T11T11 |
| 3588 | 7706391 | Power 23^3T11T10 |
| 3864 | 7758752 | Power 23^3T11T9 |
| 4416 | 7785128 | Power 23^3T11T7 |
| 4968 | 7801141 | Power 23^3T11T5 |
| 5088 | 7806688 | Power 23^3T11S5 |
| 5316 | 7807460 | Power 23^3T11S4 |
| 5556 | 7808232 | Power 23^3T11S3 |
| 5808 | 7809004 | Power 23^3T11S2 |
| 6072 | 7809776 | Power 23^3T11T1 |
| 6348 | 7810548 | Power 23^3T11 |
| 6578 | 7927046 | Power 23^3T10T1 |
| 6877 | 7927818 | Power 23^3T10 |
| 7084 | 7979407 | Power 23^3T9T1 |
| 7406 | 7980179 | Power 23^3T9 |
| 7408 | 8004239 | Power 23^3T7S3 |
| 7744 | 8005011 | Power 23^3T7S2 |
| 8096 | 8005783 | Power 23^3T7T1 |
| 8464 | 8006555 | Power 23^3T7 |
| 8712 | 8021024 | Power 23^3T5S2 |
| 9108 | 8021796 | Power 23^3T5T1 |
| 9522 | 8022568 | Power 23^3T5 |
| 9746 | 8028115 | Power 23^3S5 |
| 10000 | 8028887 | Power 23^3S4 |