Information on Result #548207

There is no linear OA(310, 16, F3, 7) (dual of [16, 6, 8]-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 OA(311, 17, F3, 8) (dual of [17, 6, 9]-code) [i]Truncation
2No linear OOA(310, 16, F3, 2, 7) (dual of [(16, 2), 22, 8]-NRT-code) [i]Depth Reduction
3No linear OOA(310, 16, F3, 3, 7) (dual of [(16, 3), 38, 8]-NRT-code) [i]
4No linear OOA(310, 16, F3, 4, 7) (dual of [(16, 4), 54, 8]-NRT-code) [i]
5No linear OOA(310, 16, F3, 5, 7) (dual of [(16, 5), 70, 8]-NRT-code) [i]
6No linear OA(311, 27, F3, 7) (dual of [27, 16, 8]-code) [i]Construction Y1 (Bound)