| k | N | Source |
| 14 | 28561 | orthogonal array |
| 15 | 54756 | extended orthogonal array (Colbourn) |
| 24 | 57109 | Sherwood-Martirosyan-Colbourn, Walker |
| 27 | 71487 | Derive from strength 5 |
| 28 | 83305 | Colbourn-Martirosyan-Trung-Walker |
| 29 | 128330 | Derive from strength 5 |
| 30 | 130261 | Colbourn-Martirosyan-Trung-Walker |
| 36 | 132614 | Colbourn-Martirosyan-Trung-Walker |
| 169 | 136213 | Colbourn-Martirosyan-Trung-Walker |
| 182 | 142297 | Colbourn-Martirosyan-Trung-Walker |
| 195 | 189072 | Colbourn-Martirosyan-Trung-Walker |
| 208 | 191425 | Colbourn-Martirosyan-Trung-Walker |
| 221 | 193453 | Colbourn-Martirosyan-Trung-Walker |
| 234 | 197509 | Colbourn-Martirosyan-Trung-Walker |
| 247 | 201265 | Colbourn-Martirosyan-Trung-Walker |
| 312 | 213433 | Colbourn-Martirosyan-Trung-Walker |
| 351 | 227811 | Colbourn-Martirosyan-Trung-Walker |
| 364 | 239629 | Colbourn-Martirosyan-Trung-Walker |
| 377 | 286526 | Colbourn-Martirosyan-Trung-Walker |
| 390 | 288457 | Colbourn-Martirosyan-Trung-Walker |
| 468 | 290810 | 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 | 389114 | Colbourn-Martirosyan-Trung-Walker |
| 2522 | 389832 | Colbourn-Martirosyan-Trung-Walker |
| 2535 | 393542 | Colbourn-Martirosyan-Trung-Walker |
| 2600 | 395895 | Colbourn-Martirosyan-Trung-Walker |
| 2613 | 420231 | Colbourn-Martirosyan-Trung-Walker |
| 2704 | 422379 | Colbourn-Martirosyan-Trung-Walker |
| 2782 | 424407 | Colbourn-Martirosyan-Trung-Walker |
| 2834 | 425173 | Colbourn-Martirosyan-Trung-Walker |
| 2873 | 426729 | Colbourn-Martirosyan-Trung-Walker |
| 2938 | 430929 | Colbourn-Martirosyan-Trung-Walker |
| 2990 | 431719 | Colbourn-Martirosyan-Trung-Walker |
| 3042 | 436627 | Colbourn-Martirosyan-Trung-Walker |
| 3211 | 444571 | Colbourn-Martirosyan-Trung-Walker |
| 3302 | 457315 | Colbourn-Martirosyan-Trung-Walker |
| 3328 | 462511 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 466567 | Colbourn-Martirosyan-Trung-Walker |
| 3549 | 467863 | Colbourn-Martirosyan-Trung-Walker |
| 3614 | 469447 | Colbourn-Martirosyan-Trung-Walker |
| 3718 | 471243 | 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 | 504543 | Colbourn-Martirosyan-Trung-Walker |
| 4394 | 506271 | Colbourn-Martirosyan-Trung-Walker |
| 4563 | 507999 | Colbourn-Martirosyan-Trung-Walker |
| 4732 | 519817 | Colbourn-Martirosyan-Trung-Walker |
| 4901 | 568586 | Colbourn-Martirosyan-Trung-Walker |
| 5070 | 570517 | Colbourn-Martirosyan-Trung-Walker |
| 6084 | 572870 | Colbourn-Martirosyan-Trung-Walker |
| 9971 | 576469 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 602833 | Colbourn-Martirosyan-Trung-Walker |