Information on Result #548270

There is no linear OA(79, 14, F7, 8) (dual of [14, 5, 9]-code), because “MPa” bound on codes from Brouwer’s database

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(710, 15, F7, 9) (dual of [15, 5, 10]-code) [i]Truncation
2No linear OOA(723, 14, F7, 2, 22) (dual of [(14, 2), 5, 23]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(737, 14, F7, 3, 36) (dual of [(14, 3), 5, 37]-NRT-code) [i]
4No linear OOA(79, 14, F7, 2, 8) (dual of [(14, 2), 19, 9]-NRT-code) [i]Depth Reduction
5No linear OOA(79, 14, F7, 3, 8) (dual of [(14, 3), 33, 9]-NRT-code) [i]
6No linear OA(765, 71, F7, 56) (dual of [71, 6, 57]-code) [i]Residual Code
7No linear OA(710, 42, F7, 8) (dual of [42, 32, 9]-code) [i]Construction Y1 (Bound)