Information on Result #548240

There is no linear OA(439, 45, F4, 30) (dual of [45, 6, 31]-code), because “Da” 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(439, 45, F4, 2, 30) (dual of [(45, 2), 51, 31]-NRT-code) [i]Depth Reduction
2No linear OOA(439, 45, F4, 3, 30) (dual of [(45, 3), 96, 31]-NRT-code) [i]
3No digital (9, 39, 45)-net over F4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4159, 166, F4, 120) (dual of [166, 7, 121]-code) [i]Residual Code