| k | N | Source |
| 12 | 1331 | orthogonal array |
| 14 | 2090 | orthogonal array fuse fuse postop NCK |
| 24 | 2541 | Chateauneuf-Kreher doubling |
| 50 | 2651 | Sherwood-Martirosyan-Colbourn |
| 132 | 3751 | Colbourn-Martirosyan-Trung-Walker |
| 146 | 3971 | Sherwood-Martirosyan-Colbourn |
| 398 | 4378 | Cyclotomy (Colbourn) |
| 419 | 4609 | Cyclotomy (Colbourn) |
| 420 | 5819 | Add a factor |
| 550 | 6171 | Colbourn-Martirosyan-Trung-Walker |
| 600 | 6402 | Cohen-Colbourn-Ling |
| 602 | 7222 | Cyclotomy (Colbourn) fuse |
| 1452 | 7271 | Colbourn-Martirosyan-Trung-Walker |
| 1573 | 7491 | Colbourn-Martirosyan-Trung-Walker |
| 1584 | 7591 | Colbourn-Martirosyan-Trung-Walker |
| 1595 | 7841 | Colbourn-Martirosyan-Trung-Walker |
| 1606 | 7851 | Colbourn-Martirosyan-Trung-Walker |
| 1716 | 8258 | Colbourn-Martirosyan-Trung-Walker |
| 1837 | 8288 | Colbourn-Martirosyan-Trung-Walker |
| 2101 | 8298 | Colbourn-Martirosyan-Trung-Walker |
| 2112 | 8358 | Colbourn-Martirosyan-Trung-Walker |
| 2233 | 8398 | Colbourn-Martirosyan-Trung-Walker |
| 2365 | 8498 | Colbourn-Martirosyan-Trung-Walker |
| 2376 | 8588 | Colbourn-Martirosyan-Trung-Walker |
| 2497 | 8598 | Colbourn-Martirosyan-Trung-Walker |
| 2805 | 8698 | Colbourn-Martirosyan-Trung-Walker |
| 2816 | 8758 | Colbourn-Martirosyan-Trung-Walker |
| 2981 | 8798 | Colbourn-Martirosyan-Trung-Walker |
| 2992 | 8858 | Colbourn-Martirosyan-Trung-Walker |
| 3168 | 8898 | Colbourn-Martirosyan-Trung-Walker |
| 3190 | 8988 | Colbourn-Martirosyan-Trung-Walker |
| 4378 | 8998 | Colbourn-Martirosyan-Trung-Walker |
| 4609 | 9229 | Colbourn-Martirosyan-Trung-Walker |
| 4776 | 9339 | Cohen-Colbourn-Ling |
| 5028 | 9570 | Cohen-Colbourn-Ling |
| 5040 | 10780 | Cohen-Colbourn-Ling |
| 6050 | 10791 | Colbourn-Martirosyan-Trung-Walker |
| 6600 | 11022 | Colbourn-Martirosyan-Trung-Walker |
| 7150 | 11242 | Cohen-Colbourn-Ling |
| 7200 | 11363 | Cohen-Colbourn-Ling |
| 10000 | 11891 | Colbourn-Martirosyan-Trung-Walker |