| k | N | Source |
| 14 | 28561 | orthogonal array |
| 15 | 54925 | extend by one factor |
| 24 | 57109 | Sherwood-Martirosyan-Colbourn, Walker |
| 26 | 81277 | Colbourn-Martirosyan-Trung-Walker |
| 28 | 83305 | Colbourn-Martirosyan-Trung-Walker |
| 30 | 132566 | Colbourn-Martirosyan-Trung-Walker |
| 36 | 134750 | Colbourn-Martirosyan-Trung-Walker |
| 169 | 136213 | Colbourn-Martirosyan-Trung-Walker |
| 182 | 142297 | Colbourn-Martirosyan-Trung-Walker |
| 195 | 191377 | Colbourn-Martirosyan-Trung-Walker |
| 208 | 193561 | Colbourn-Martirosyan-Trung-Walker |
| 221 | 195589 | Colbourn-Martirosyan-Trung-Walker |
| 234 | 199645 | Colbourn-Martirosyan-Trung-Walker |
| 247 | 201265 | Colbourn-Martirosyan-Trung-Walker |
| 312 | 213433 | Colbourn-Martirosyan-Trung-Walker |
| 338 | 237601 | Colbourn-Martirosyan-Trung-Walker |
| 364 | 239629 | Colbourn-Martirosyan-Trung-Walker |
| 390 | 290762 | Colbourn-Martirosyan-Trung-Walker |
| 468 | 292946 | Colbourn-Martirosyan-Trung-Walker |
| 767 | 294409 | Colbourn-Martirosyan-Trung-Walker |
| 2197 | 316873 | Colbourn-Martirosyan-Trung-Walker |
| 2210 | 335125 | Colbourn-Martirosyan-Trung-Walker |
| 2314 | 336489 | Colbourn-Martirosyan-Trung-Walker |
| 2366 | 338595 | Colbourn-Martirosyan-Trung-Walker |
| 2470 | 391419 | Colbourn-Martirosyan-Trung-Walker |
| 2522 | 392137 | Colbourn-Martirosyan-Trung-Walker |
| 2535 | 395847 | Colbourn-Martirosyan-Trung-Walker |
| 2600 | 398031 | Colbourn-Martirosyan-Trung-Walker |
| 2704 | 428091 | Colbourn-Martirosyan-Trung-Walker |
| 2782 | 430119 | Colbourn-Martirosyan-Trung-Walker |
| 2834 | 430885 | Colbourn-Martirosyan-Trung-Walker |
| 2873 | 432441 | Colbourn-Martirosyan-Trung-Walker |
| 2938 | 436497 | Colbourn-Martirosyan-Trung-Walker |
| 2990 | 437287 | Colbourn-Martirosyan-Trung-Walker |
| 3042 | 442195 | Colbourn-Martirosyan-Trung-Walker |
| 3211 | 445435 | Colbourn-Martirosyan-Trung-Walker |
| 3302 | 457603 | Colbourn-Martirosyan-Trung-Walker |
| 3328 | 462799 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 466855 | Colbourn-Martirosyan-Trung-Walker |
| 3549 | 467863 | Colbourn-Martirosyan-Trung-Walker |
| 3614 | 469591 | Colbourn-Martirosyan-Trung-Walker |
| 3718 | 471387 | Colbourn-Martirosyan-Trung-Walker |
| 3757 | 474025 | Colbourn-Martirosyan-Trung-Walker |
| 3770 | 482137 | Colbourn-Martirosyan-Trung-Walker |
| 3874 | 483981 | Colbourn-Martirosyan-Trung-Walker |
| 3887 | 486709 | Colbourn-Martirosyan-Trung-Walker |
| 4056 | 488437 | Colbourn-Martirosyan-Trung-Walker |
| 4225 | 514333 | Colbourn-Martirosyan-Trung-Walker |
| 4394 | 516061 | Colbourn-Martirosyan-Trung-Walker |
| 4732 | 519817 | Colbourn-Martirosyan-Trung-Walker |
| 5070 | 572822 | Colbourn-Martirosyan-Trung-Walker |
| 6084 | 575006 | Colbourn-Martirosyan-Trung-Walker |
| 9971 | 576469 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 602833 | Colbourn-Martirosyan-Trung-Walker |