| k | N | Source |
| 4 | 1000 | Derive from strength 4 |
| 5 | 1050 | Li-Ji-Yin |
| 6 | 1100 | Ji-Yin |
| 10 | 1219 | simulated annealing (Cohen) |
| 12 | 1303 | orthogonal array fuse postop NCK |
| 14 | 1895 | orthogonal array fuse fuse fuse postop NCK |
| 16 | 2254 | Chateauneuf-Kreher doubling |
| 20 | 2263 | Chateauneuf-Kreher doubling |
| 22 | 2347 | Chateauneuf-Kreher doubling |
| 24 | 2356 | Chateauneuf-Kreher doubling |
| 50 | 2649 | Sherwood-Martirosyan-Colbourn fuse |
| 55 | 3470 | Colbourn-Martirosyan-Trung-Walker |
| 66 | 3520 | Colbourn-Martirosyan-Trung-Walker |
| 72 | 3613 | Cohen-Colbourn-Ling |
| 110 | 3639 | Colbourn-Martirosyan-Trung-Walker |
| 132 | 3723 | Colbourn-Martirosyan-Trung-Walker |
| 146 | 3969 | Sherwood-Martirosyan-Colbourn fuse |
| 398 | 4376 | Cyclotomy (Colbourn) fuse |
| 419 | 4607 | Cyclotomy (Colbourn) fuse |
| 522 | 5210 | Cyclotomy (Colbourn) |
| 542 | 5410 | Cyclotomy (Colbourn) |
| 572 | 5710 | Cyclotomy (Colbourn) |
| 602 | 6010 | Cyclotomy (Colbourn) |
| 632 | 6310 | Cyclotomy (Colbourn) |
| 641 | 6410 | Cyclotomy (Colbourn) |
| 662 | 6610 | Cyclotomy (Colbourn) |
| 692 | 6910 | Cyclotomy (Colbourn) |
| 702 | 7010 | Cyclotomy (Colbourn) |
| 726 | 7040 | Colbourn-Martirosyan-Trung-Walker |
| 740 | 7085 | Chateauneuf-Kreher doubling |
| 796 | 7094 | Chateauneuf-Kreher doubling |
| 1210 | 7159 | Colbourn-Martirosyan-Trung-Walker |
| 1452 | 7243 | Colbourn-Martirosyan-Trung-Walker |
| 1573 | 7489 | Colbourn-Martirosyan-Trung-Walker fuse |
| 1584 | 7589 | Colbourn-Martirosyan-Trung-Walker fuse |
| 1595 | 7839 | Colbourn-Martirosyan-Trung-Walker fuse |
| 1606 | 7849 | Colbourn-Martirosyan-Trung-Walker fuse |
| 1716 | 8256 | Colbourn-Martirosyan-Trung-Walker fuse |
| 1837 | 8286 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2101 | 8296 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2112 | 8356 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2233 | 8396 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2365 | 8496 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2376 | 8586 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2497 | 8596 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2805 | 8696 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2816 | 8756 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2981 | 8796 | Colbourn-Martirosyan-Trung-Walker fuse |
| 2992 | 8856 | Colbourn-Martirosyan-Trung-Walker fuse |
| 3168 | 8896 | Colbourn-Martirosyan-Trung-Walker fuse |
| 3190 | 8986 | Colbourn-Martirosyan-Trung-Walker fuse |
| 4378 | 8996 | Colbourn-Martirosyan-Trung-Walker fuse |
| 4609 | 9227 | Colbourn-Martirosyan-Trung-Walker fuse |
| 4776 | 9309 | Cohen-Colbourn-Ling |
| 5028 | 9540 | Cohen-Colbourn-Ling |
| 5742 | 9830 | Colbourn-Martirosyan-Trung-Walker |
| 5962 | 10030 | Colbourn-Martirosyan-Trung-Walker |
| 6264 | 10143 | Cohen-Colbourn-Ling |
| 6292 | 10330 | Colbourn-Martirosyan-Trung-Walker |
| 6504 | 10343 | Cohen-Colbourn-Ling |
| 6622 | 10630 | Colbourn-Martirosyan-Trung-Walker |
| 6864 | 10643 | Cohen-Colbourn-Ling |
| 6952 | 10930 | Colbourn-Martirosyan-Trung-Walker |
| 7224 | 10943 | Cohen-Colbourn-Ling |
| 7282 | 11230 | Colbourn-Martirosyan-Trung-Walker |
| 7584 | 11243 | Cohen-Colbourn-Ling |
| 7692 | 11343 | Cohen-Colbourn-Ling |
| 7944 | 11543 | Cohen-Colbourn-Ling |
| 7986 | 11660 | Colbourn-Martirosyan-Trung-Walker |
| 8140 | 11705 | Colbourn-Martirosyan-Trung-Walker |
| 8756 | 11714 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 11779 | Colbourn-Martirosyan-Trung-Walker |