Information on Result #548229

There is no linear OA(371, 86, F3, 46) (dual of [86, 15, 47]-code), because “Da” 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(372, 87, F3, 47) (dual of [87, 15, 48]-code) [i]Truncation
2No linear OOA(372, 86, F3, 2, 47) (dual of [(86, 2), 100, 48]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(373, 86, F3, 2, 48) (dual of [(86, 2), 99, 49]-NRT-code) [i]
4No linear OOA(371, 86, F3, 2, 46) (dual of [(86, 2), 101, 47]-NRT-code) [i]Depth Reduction
5No linear OOA(371, 86, F3, 3, 46) (dual of [(86, 3), 187, 47]-NRT-code) [i]
6No linear OOA(371, 86, F3, 4, 46) (dual of [(86, 4), 273, 47]-NRT-code) [i]
7No linear OOA(371, 86, F3, 5, 46) (dual of [(86, 5), 359, 47]-NRT-code) [i]
8No digital (25, 71, 86)-net over F3 [i]Extracting Embedded Orthogonal Array
9No linear OA(3209, 225, F3, 138) (dual of [225, 16, 139]-code) [i]Residual Code