Information on Result #61508
There is no OA(824, 28, S8, 22), because the linear programming bound shows that M ≥ 41 859056 504156 535174 201344 / 8073 > 824
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 OA(825, 29, S8, 23) | [i] | Truncation | |
| 2 | No OOA(825, 28, S8, 2, 23) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(824, 28, S8, 2, 22) | [i] | Depth Reduction | |
| 4 | No OOA(824, 28, S8, 3, 22) | [i] | ||
| 5 | No (2, 24, 28)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(825, 52, F8, 22) (dual of [52, 27, 23]-code) | [i] | Construction Y1 (Bound) | |