Information on Result #61295
There is no OA(772, 300, S7, 54), because the linear programming bound shows that M ≥ 489103 554816 394657 800399 037864 659820 501497 415398 742685 371165 942106 365907 984558 305747 707707 237646 393998 681516 262241 865730 620908 433038 750000 / 65991 622295 854220 768278 534644 534429 740960 702156 273507 041087 721301 002664 801349 > 772
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(771, 299, S7, 54) | [i] | Code Embedding in Larger Space | |
| 2 | No OOA(772, 300, S7, 2, 54) | [i] | Depth Reduction | |
| 3 | No OOA(772, 300, S7, 3, 54) | [i] | ||
| 4 | No (18, 72, 300)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |