Information on Result #526672
There is no linear OA(59, 12, F5, 8) (dual of [12, 3, 9]-code), because bound for almost-MDS-codes with dimension n = 3
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(510, 13, F5, 9) (dual of [13, 3, 10]-code) | [i] | Truncation | |
| 2 | No linear OOA(59, 12, F5, 2, 8) (dual of [(12, 2), 15, 9]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(59, 12, F5, 3, 8) (dual of [(12, 3), 27, 9]-NRT-code) | [i] | ||
| 4 | No linear OA(549, 53, F5, 40) (dual of [53, 4, 41]-code) | [i] | Residual Code | |
| 5 | No linear OA(510, 22, F5, 8) (dual of [22, 12, 9]-code) | [i] | Construction Y1 (Bound) | |