| k | N | Source |
| 12 | 14641 | orthogonal array |
| 13 | 27830 | extended orthogonal array (Colbourn) |
| 14 | 28277 | orthogonal array fuse fuse postop NCK |
| 23 | 29271 | Walker-Colbourn |
| 24 | 42461 | Colbourn-Martirosyan-Trung-Walker |
| 33 | 56991 | Colbourn-Martirosyan-Trung-Walker |
| 36 | 62271 | Colbourn-Martirosyan-Trung-Walker |
| 121 | 69091 | Colbourn-Martirosyan-Trung-Walker |
| 132 | 73931 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 81042 | Colbourn-Martirosyan-Trung-Walker |
| 154 | 95137 | Colbourn-Martirosyan-Trung-Walker |
| 165 | 100661 | Colbourn-Martirosyan-Trung-Walker |
| 176 | 101871 | Colbourn-Martirosyan-Trung-Walker |
| 187 | 103081 | Colbourn-Martirosyan-Trung-Walker |
| 198 | 104291 | Colbourn-Martirosyan-Trung-Walker |
| 209 | 105501 | Colbourn-Martirosyan-Trung-Walker |
| 220 | 106711 | Colbourn-Martirosyan-Trung-Walker |
| 253 | 107921 | Colbourn-Martirosyan-Trung-Walker |
| 276 | 120592 | Colbourn-Martirosyan-Trung-Walker |
| 288 | 133782 | Colbourn-Martirosyan-Trung-Walker |
| 363 | 136741 | Colbourn-Martirosyan-Trung-Walker |
| 396 | 142021 | Colbourn-Martirosyan-Trung-Walker |
| 550 | 148841 | Colbourn-Martirosyan-Trung-Walker |
| 1331 | 159841 | Colbourn-Martirosyan-Trung-Walker |
| 1342 | 169640 | Colbourn-Martirosyan-Trung-Walker |
| 1375 | 170497 | Colbourn-Martirosyan-Trung-Walker |
| 1386 | 170616 | Colbourn-Martirosyan-Trung-Walker |
| 1430 | 170621 | Colbourn-Martirosyan-Trung-Walker |
| 1452 | 171123 | Colbourn-Martirosyan-Trung-Walker |
| 1474 | 180434 | Colbourn-Martirosyan-Trung-Walker |
| 1496 | 180688 | Colbourn-Martirosyan-Trung-Walker |
| 1562 | 181462 | Colbourn-Martirosyan-Trung-Walker |
| 1584 | 183064 | Colbourn-Martirosyan-Trung-Walker |
| 1606 | 197159 | Colbourn-Martirosyan-Trung-Walker |
| 1608 | 199305 | Colbourn-Martirosyan-Trung-Walker |
| 1632 | 199559 | Colbourn-Martirosyan-Trung-Walker |
| 1704 | 200333 | Colbourn-Martirosyan-Trung-Walker |
| 1728 | 201935 | Colbourn-Martirosyan-Trung-Walker |
| 1738 | 207303 | Colbourn-Martirosyan-Trung-Walker |
| 1815 | 210173 | Colbourn-Martirosyan-Trung-Walker |
| 1936 | 212593 | Colbourn-Martirosyan-Trung-Walker |
| 1958 | 215013 | Colbourn-Martirosyan-Trung-Walker |
| 2002 | 215611 | Colbourn-Martirosyan-Trung-Walker |
| 2057 | 217453 | Colbourn-Martirosyan-Trung-Walker |
| 2134 | 219873 | Colbourn-Martirosyan-Trung-Walker |
| 2178 | 221787 | Colbourn-Martirosyan-Trung-Walker |
| 2266 | 224207 | Colbourn-Martirosyan-Trung-Walker |
| 2299 | 225523 | Colbourn-Martirosyan-Trung-Walker |
| 2354 | 226733 | Colbourn-Martirosyan-Trung-Walker |
| 2398 | 227403 | Colbourn-Martirosyan-Trung-Walker |
| 2420 | 227931 | Colbourn-Martirosyan-Trung-Walker |
| 2475 | 229141 | Colbourn-Martirosyan-Trung-Walker |
| 2640 | 230351 | Colbourn-Martirosyan-Trung-Walker |
| 2783 | 231561 | Colbourn-Martirosyan-Trung-Walker |
| 3036 | 244232 | Colbourn-Martirosyan-Trung-Walker |
| 3168 | 257422 | Colbourn-Martirosyan-Trung-Walker |
| 3993 | 260381 | Colbourn-Martirosyan-Trung-Walker |
| 4356 | 265661 | Colbourn-Martirosyan-Trung-Walker |
| 4378 | 272481 | Colbourn-Martirosyan-Trung-Walker |
| 4609 | 274791 | Colbourn-Martirosyan-Trung-Walker |
| 4752 | 286880 | Colbourn-Martirosyan-Trung-Walker |
| 6050 | 290411 | Colbourn-Martirosyan-Trung-Walker |
| 6600 | 303721 | Colbourn-Martirosyan-Trung-Walker |
| 6622 | 311921 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 312411 | Colbourn-Martirosyan-Trung-Walker |