Information on Result #548159

There is no linear OA(275, 85, F2, 38) (dual of [85, 10, 39]-code), because “Ja” 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(276, 86, F2, 39) (dual of [86, 10, 40]-code) [i]Truncation
2No linear OOA(276, 85, F2, 2, 39) (dual of [(85, 2), 94, 40]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(275, 85, F2, 2, 38) (dual of [(85, 2), 95, 39]-NRT-code) [i]Depth Reduction
4No linear OOA(275, 85, F2, 3, 38) (dual of [(85, 3), 180, 39]-NRT-code) [i]
5No linear OOA(275, 85, F2, 4, 38) (dual of [(85, 4), 265, 39]-NRT-code) [i]
6No linear OOA(275, 85, F2, 5, 38) (dual of [(85, 5), 350, 39]-NRT-code) [i]
7No linear OOA(275, 85, F2, 6, 38) (dual of [(85, 6), 435, 39]-NRT-code) [i]
8No linear OOA(275, 85, F2, 7, 38) (dual of [(85, 7), 520, 39]-NRT-code) [i]
9No linear OOA(275, 85, F2, 8, 38) (dual of [(85, 8), 605, 39]-NRT-code) [i]
10No digital (37, 75, 85)-net over F2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2151, 162, F2, 76) (dual of [162, 11, 77]-code) [i]Residual Code