Information on Result #548671

There is no linear OA(371, 84, F3, 47) (dual of [84, 13, 48]-code), because “LP” 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 OOA(371, 84, F3, 2, 47) (dual of [(84, 2), 97, 48]-NRT-code) [i]Depth Reduction
2No linear OOA(371, 84, F3, 3, 47) (dual of [(84, 3), 181, 48]-NRT-code) [i]
3No linear OOA(371, 84, F3, 4, 47) (dual of [(84, 4), 265, 48]-NRT-code) [i]
4No linear OOA(371, 84, F3, 5, 47) (dual of [(84, 5), 349, 48]-NRT-code) [i]
5No digital (24, 71, 84)-net over F3 [i]Extracting Embedded Orthogonal Array
6No linear OA(3212, 226, F3, 141) (dual of [226, 14, 142]-code) [i]Residual Code