Information on Result #548169

There is no linear OA(281, 94, F2, 40) (dual of [94, 13, 41]-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(282, 95, F2, 41) (dual of [95, 13, 42]-code) [i]Truncation
2No linear OOA(282, 94, F2, 2, 41) (dual of [(94, 2), 106, 42]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(281, 94, F2, 2, 40) (dual of [(94, 2), 107, 41]-NRT-code) [i]Depth Reduction
4No linear OOA(281, 94, F2, 3, 40) (dual of [(94, 3), 201, 41]-NRT-code) [i]
5No linear OOA(281, 94, F2, 4, 40) (dual of [(94, 4), 295, 41]-NRT-code) [i]
6No linear OOA(281, 94, F2, 5, 40) (dual of [(94, 5), 389, 41]-NRT-code) [i]
7No linear OOA(281, 94, F2, 6, 40) (dual of [(94, 6), 483, 41]-NRT-code) [i]
8No linear OOA(281, 94, F2, 7, 40) (dual of [(94, 7), 577, 41]-NRT-code) [i]
9No linear OOA(281, 94, F2, 8, 40) (dual of [(94, 8), 671, 41]-NRT-code) [i]
10No digital (41, 81, 94)-net over F2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2161, 175, F2, 80) (dual of [175, 14, 81]-code) [i]Residual Code