| k | N | Source |
| 14 | 28561 | orthogonal array |
| 15 | 54756 | extended orthogonal array (Colbourn) |
| 24 | 57109 | Walker-Colbourn |
| 27 | 71487 | Derive from strength 5 |
| 28 | 83305 | Colbourn-Martirosyan-Trung-Walker |
| 39 | 111709 | Colbourn-Martirosyan-Trung-Walker |
| 42 | 126997 | Colbourn-Martirosyan-Trung-Walker |
| 169 | 136045 | Colbourn-Martirosyan-Trung-Walker |
| 182 | 150241 | Colbourn-Martirosyan-Trung-Walker |
| 196 | 168962 | Colbourn-Martirosyan-Trung-Walker |
| 208 | 198661 | Colbourn-Martirosyan-Trung-Walker |
| 221 | 198937 | Colbourn-Martirosyan-Trung-Walker |
| 234 | 199153 | Colbourn-Martirosyan-Trung-Walker |
| 260 | 203125 | Colbourn-Martirosyan-Trung-Walker |
| 273 | 205153 | Colbourn-Martirosyan-Trung-Walker |
| 286 | 207181 | Colbourn-Martirosyan-Trung-Walker |
| 299 | 209209 | Colbourn-Martirosyan-Trung-Walker |
| 312 | 211237 | Colbourn-Martirosyan-Trung-Walker |
| 351 | 227643 | Colbourn-Martirosyan-Trung-Walker |
| 364 | 239461 | Colbourn-Martirosyan-Trung-Walker |
| 378 | 261400 | Colbourn-Martirosyan-Trung-Walker |
| 507 | 269737 | Colbourn-Martirosyan-Trung-Walker |
| 546 | 285025 | Colbourn-Martirosyan-Trung-Walker |
| 767 | 294073 | Colbourn-Martirosyan-Trung-Walker |
| 2197 | 316537 | Colbourn-Martirosyan-Trung-Walker |
| 2210 | 345096 | Colbourn-Martirosyan-Trung-Walker |
| 2249 | 346289 | Colbourn-Martirosyan-Trung-Walker |
| 2262 | 346456 | Colbourn-Martirosyan-Trung-Walker |
| 2314 | 346461 | Colbourn-Martirosyan-Trung-Walker |
| 2327 | 348389 | Colbourn-Martirosyan-Trung-Walker |
| 2340 | 348556 | Colbourn-Martirosyan-Trung-Walker |
| 2366 | 348567 | Colbourn-Martirosyan-Trung-Walker |
| 2470 | 371032 | Colbourn-Martirosyan-Trung-Walker |
| 2522 | 371750 | Colbourn-Martirosyan-Trung-Walker |
| 2548 | 375460 | Colbourn-Martirosyan-Trung-Walker |
| 2600 | 405159 | Colbourn-Martirosyan-Trung-Walker |
| 2660 | 422345 | Colbourn-Martirosyan-Trung-Walker |
| 2716 | 423063 | Colbourn-Martirosyan-Trung-Walker |
| 2744 | 426773 | Colbourn-Martirosyan-Trung-Walker |
| 2782 | 428751 | Colbourn-Martirosyan-Trung-Walker |
| 2834 | 429517 | Colbourn-Martirosyan-Trung-Walker |
| 2873 | 431073 | Colbourn-Martirosyan-Trung-Walker |
| 2938 | 431505 | Colbourn-Martirosyan-Trung-Walker |
| 2990 | 432295 | Colbourn-Martirosyan-Trung-Walker |
| 3042 | 437203 | Colbourn-Martirosyan-Trung-Walker |
| 3211 | 446875 | Colbourn-Martirosyan-Trung-Walker |
| 3302 | 448603 | Colbourn-Martirosyan-Trung-Walker |
| 3380 | 453799 | Colbourn-Martirosyan-Trung-Walker |
| 3549 | 459583 | Colbourn-Martirosyan-Trung-Walker |
| 3614 | 464935 | Colbourn-Martirosyan-Trung-Walker |
| 3718 | 466731 | Colbourn-Martirosyan-Trung-Walker |
| 3770 | 472993 | Colbourn-Martirosyan-Trung-Walker |
| 3874 | 474837 | Colbourn-Martirosyan-Trung-Walker |
| 3887 | 477397 | Colbourn-Martirosyan-Trung-Walker |
| 4056 | 481453 | Colbourn-Martirosyan-Trung-Walker |
| 4225 | 501183 | Colbourn-Martirosyan-Trung-Walker |
| 4563 | 501327 | Colbourn-Martirosyan-Trung-Walker |
| 4732 | 513289 | Colbourn-Martirosyan-Trung-Walker |
| 4901 | 538396 | Colbourn-Martirosyan-Trung-Walker |
| 4914 | 539548 | Colbourn-Martirosyan-Trung-Walker |
| 5070 | 547885 | Colbourn-Martirosyan-Trung-Walker |
| 5408 | 548173 | Colbourn-Martirosyan-Trung-Walker |
| 5577 | 549325 | Colbourn-Martirosyan-Trung-Walker |
| 6591 | 550477 | Colbourn-Martirosyan-Trung-Walker |
| 7098 | 566917 | Colbourn-Martirosyan-Trung-Walker |
| 9971 | 575965 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 602329 | Colbourn-Martirosyan-Trung-Walker |