Information on Result #565383
There is no linear OOA(4954, 147, F49, 2, 53) (dual of [(147, 2), 240, 54]-NRT-code), because 4 step m-reduction would yield linear OA(4950, 147, F49, 49) (dual of [147, 97, 50]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(4997, 147, F49, 96) (dual of [147, 50, 97]-code), but
- discarding factors / shortening the dual code would yield linear OA(4997, 100, F49, 96) (dual of [100, 3, 97]-code), but
Mode: Bound (linear).
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 linear OOA(4954, 147, F49, 3, 53) (dual of [(147, 3), 387, 54]-NRT-code) | [i] | Depth Reduction | |