Information on Result #548666

There is no linear OA(312, 25, F3, 8) (dual of [25, 13, 9]-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(312, 25, F3, 2, 8) (dual of [(25, 2), 38, 9]-NRT-code) [i]Depth Reduction
2No linear OOA(312, 25, F3, 3, 8) (dual of [(25, 3), 63, 9]-NRT-code) [i]
3No linear OOA(312, 25, F3, 4, 8) (dual of [(25, 4), 88, 9]-NRT-code) [i]
4No linear OOA(312, 25, F3, 5, 8) (dual of [(25, 5), 113, 9]-NRT-code) [i]
5No digital (4, 12, 25)-net over F3 [i]Extracting Embedded Orthogonal Array