Information on Result #524310

There is no linear OA(514, 17, F5, 12) (dual of [17, 3, 13]-code), because a result by Hill

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:

ResultThis
result
only
Method
1No linear OA(515, 18, F5, 13) (dual of [18, 3, 14]-code) [i]Truncation
2No linear OOA(531, 17, F5, 2, 29) (dual of [(17, 2), 3, 30]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(548, 17, F5, 3, 46) (dual of [(17, 3), 3, 47]-NRT-code) [i]
4No linear OOA(514, 17, F5, 2, 12) (dual of [(17, 2), 20, 13]-NRT-code) [i]Depth Reduction
5No linear OOA(514, 17, F5, 3, 12) (dual of [(17, 3), 37, 13]-NRT-code) [i]
6No linear OA(574, 78, F5, 60) (dual of [78, 4, 61]-code) [i]Residual Code
7No linear OA(515, 25, F5, 12) (dual of [25, 10, 13]-code) [i]Construction Y1 (Bound)