Information on Result #59756
There is no OA(456, 77, S4, 41), because the linear programming bound shows that M ≥ 2852 409624 643877 869804 773184 242737 249513 373696 / 530979 549763 > 456
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(456, 77, S4, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(456, 77, S4, 3, 41) | [i] | ||
| 3 | No (15, 56, 77)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4220, 242, F4, 164) (dual of [242, 22, 165]-code) | [i] | Residual Code | |