Information on Result #548266

There is no linear OA(548, 54, F5, 39) (dual of [54, 6, 40]-code), because “DG1” 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(548, 54, F5, 2, 39) (dual of [(54, 2), 60, 40]-NRT-code) [i]Depth Reduction
2No linear OOA(548, 54, F5, 3, 39) (dual of [(54, 3), 114, 40]-NRT-code) [i]
3No digital (9, 48, 54)-net over F5 [i]Extracting Embedded Orthogonal Array