| k | N | Source |
| 20 | 130321 | orthogonal array |
| 21 | 253783 | extend by one factor |
| 24 | 279837 | fuse symbols |
| 38 | 377227 | Colbourn-Martirosyan-Trung-Walker |
| 40 | 383725 | Colbourn-Martirosyan-Trung-Walker |
| 42 | 602966 | Colbourn-Martirosyan-Trung-Walker |
| 48 | 629020 | Colbourn-Martirosyan-Trung-Walker |
| 361 | 631027 | Colbourn-Martirosyan-Trung-Walker |
| 380 | 657019 | Colbourn-Martirosyan-Trung-Walker |
| 399 | 875881 | Colbourn-Martirosyan-Trung-Walker |
| 437 | 901935 | Colbourn-Martirosyan-Trung-Walker |
| 456 | 914931 | Colbourn-Martirosyan-Trung-Walker |
| 475 | 1033885 | Colbourn-Martirosyan-Trung-Walker |
| 513 | 1046881 | Colbourn-Martirosyan-Trung-Walker |
| 722 | 1111861 | Colbourn-Martirosyan-Trung-Walker |
| 760 | 1118359 | Colbourn-Martirosyan-Trung-Walker |
| 798 | 1454564 | Colbourn-Martirosyan-Trung-Walker |
| 912 | 1480618 | Colbourn-Martirosyan-Trung-Walker |
| 6859 | 1482625 | Colbourn-Martirosyan-Trung-Walker |
| 6878 | 1560601 | Colbourn-Martirosyan-Trung-Walker |
| 7106 | 1564963 | Colbourn-Martirosyan-Trung-Walker |
| 7220 | 1569397 | Colbourn-Martirosyan-Trung-Walker |
| 7334 | 1911721 | Colbourn-Martirosyan-Trung-Walker |
| 7562 | 1916227 | Colbourn-Martirosyan-Trung-Walker |
| 7581 | 1919271 | Colbourn-Martirosyan-Trung-Walker |
| 7600 | 1945325 | Colbourn-Martirosyan-Trung-Walker |
| 7714 | 1968779 | Colbourn-Martirosyan-Trung-Walker |
| 7942 | 1973405 | Colbourn-Martirosyan-Trung-Walker |
| 8246 | 1979685 | Colbourn-Martirosyan-Trung-Walker |
| 8303 | 1982873 | Colbourn-Martirosyan-Trung-Walker |
| 8398 | 1995869 | Colbourn-Martirosyan-Trung-Walker |
| 8664 | 2002341 | Colbourn-Martirosyan-Trung-Walker |
| 8702 | 2143507 | Colbourn-Martirosyan-Trung-Walker |
| 9025 | 2151777 | Colbourn-Martirosyan-Trung-Walker |
| 9082 | 2165097 | Colbourn-Martirosyan-Trung-Walker |
| 9158 | 2166775 | Colbourn-Martirosyan-Trung-Walker |
| 9386 | 2175285 | Colbourn-Martirosyan-Trung-Walker |
| 9538 | 2175609 | Colbourn-Martirosyan-Trung-Walker |
| 9614 | 2177335 | Colbourn-Martirosyan-Trung-Walker |
| 9747 | 2182561 | Colbourn-Martirosyan-Trung-Walker |
| 9842 | 2247865 | Colbourn-Martirosyan-Trung-Walker |
| 9994 | 2251389 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 2256735 | Colbourn-Martirosyan-Trung-Walker |