Information on Result #548231

There is no linear OA(390, 96, F3, 61) (dual of [96, 6, 62]-code), because “Gur” 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(391, 97, F3, 62) (dual of [97, 6, 63]-code) [i]Truncation
2No linear OOA(390, 96, F3, 2, 61) (dual of [(96, 2), 102, 62]-NRT-code) [i]Depth Reduction
3No linear OOA(390, 96, F3, 3, 61) (dual of [(96, 3), 198, 62]-NRT-code) [i]
4No linear OOA(390, 96, F3, 4, 61) (dual of [(96, 4), 294, 62]-NRT-code) [i]
5No linear OOA(390, 96, F3, 5, 61) (dual of [(96, 5), 390, 62]-NRT-code) [i]
6No linear OA(391, 100, F3, 61) (dual of [100, 9, 62]-code) [i]Construction Y1 (Bound)