Information on Result #548248

There is no linear OA(459, 71, F4, 44) (dual of [71, 12, 45]-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 OOA(459, 71, F4, 2, 44) (dual of [(71, 2), 83, 45]-NRT-code) [i]Depth Reduction
2No linear OOA(459, 71, F4, 3, 44) (dual of [(71, 3), 154, 45]-NRT-code) [i]
3No digital (15, 59, 71)-net over F4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4235, 248, F4, 176) (dual of [248, 13, 177]-code) [i]Residual Code