Information on Result #61276
There is no OA(762, 166, S7, 50), because the linear programming bound shows that M ≥ 101 792547 682364 525951 804962 263964 874240 998756 512581 787163 475920 699160 660853 778660 921426 445850 342687 902207 042986 263508 486520 133943 271175 658043 070902 630276 779502 961050 / 4049 531549 017622 947378 237761 681092 013775 698737 547128 420548 551144 374027 650804 875173 331446 608133 184257 018697 865667 > 762
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(763, 167, S7, 51) | [i] | Truncation | |
| 2 | No OA(764, 168, S7, 52) | [i] | ||
| 3 | No OA(765, 169, S7, 53) | [i] | ||
| 4 | No OA(766, 170, S7, 54) | [i] | ||
| 5 | No OOA(763, 166, S7, 2, 51) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(764, 166, S7, 2, 52) | [i] | ||
| 7 | No OOA(765, 166, S7, 2, 53) | [i] | ||
| 8 | No OOA(766, 166, S7, 2, 54) | [i] | ||
| 9 | No OOA(762, 166, S7, 2, 50) | [i] | Depth Reduction | |
| 10 | No OOA(762, 166, S7, 3, 50) | [i] | ||
| 11 | No (12, 62, 166)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |