Information on Result #548210

There is no linear OA(316, 24, F3, 11) (dual of [24, 8, 12]-code), because “BS” 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(316, 24, F3, 2, 11) (dual of [(24, 2), 32, 12]-NRT-code) [i]Depth Reduction
2No linear OOA(316, 24, F3, 3, 11) (dual of [(24, 3), 56, 12]-NRT-code) [i]
3No linear OOA(316, 24, F3, 4, 11) (dual of [(24, 4), 80, 12]-NRT-code) [i]
4No linear OOA(316, 24, F3, 5, 11) (dual of [(24, 5), 104, 12]-NRT-code) [i]
5No digital (5, 16, 24)-net over F3 [i]Extracting Embedded Orthogonal Array
6No linear OA(349, 58, F3, 33) (dual of [58, 9, 34]-code) [i]Residual Code
7No linear OA(311, 27, F3, 7) (dual of [27, 16, 8]-code) [i]Construction Y1 (Bound)
8No linear OA(314, 30, F3, 9) (dual of [30, 16, 10]-code) [i]
9No linear OA(317, 39, F3, 11) (dual of [39, 22, 12]-code) [i]