Information on Result #547930
There is no linear OA(514, 32, F5, 11) (dual of [32, 18, 12]-code), because construction Y1 would yield
- linear OA(513, 17, F5, 11) (dual of [17, 4, 12]-code), but
- linear OA(518, 32, F5, 15) (dual of [32, 14, 16]-code), but
- discarding factors / shortening the dual code would yield linear OA(518, 23, F5, 15) (dual of [23, 5, 16]-code), but
- residual code [i] would yield OA(53, 7, S5, 3), but
- discarding factors / shortening the dual code would yield linear OA(518, 23, F5, 15) (dual of [23, 5, 16]-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.
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 linear OA(525, 39, F5, 20) (dual of [39, 14, 21]-code) | [i] | Construction Y1 (Bound) | |