Information on Result #548206

There is no linear OA(36, 15, F3, 4) (dual of [15, 9, 5]-code), because “vE2” 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(36, 15, F3, 2, 4) (dual of [(15, 2), 24, 5]-NRT-code) [i]Depth Reduction
2No linear OOA(36, 15, F3, 3, 4) (dual of [(15, 3), 39, 5]-NRT-code) [i]
3No linear OOA(36, 15, F3, 4, 4) (dual of [(15, 4), 54, 5]-NRT-code) [i]
4No linear OOA(36, 15, F3, 5, 4) (dual of [(15, 5), 69, 5]-NRT-code) [i]
5No digital (2, 6, 15)-net over F3 [i]Extracting Embedded Orthogonal Array
6No linear OA(318, 28, F3, 12) (dual of [28, 10, 13]-code) [i]Residual Code