Information on Result #548161

There is no linear OA(276, 87, F2, 38) (dual of [87, 11, 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(277, 88, F2, 39) (dual of [88, 11, 40]-code) [i]Truncation
2No linear OOA(277, 87, F2, 2, 39) (dual of [(87, 2), 97, 40]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(276, 87, F2, 2, 38) (dual of [(87, 2), 98, 39]-NRT-code) [i]Depth Reduction
4No linear OOA(276, 87, F2, 3, 38) (dual of [(87, 3), 185, 39]-NRT-code) [i]
5No linear OOA(276, 87, F2, 4, 38) (dual of [(87, 4), 272, 39]-NRT-code) [i]
6No linear OOA(276, 87, F2, 5, 38) (dual of [(87, 5), 359, 39]-NRT-code) [i]
7No linear OOA(276, 87, F2, 6, 38) (dual of [(87, 6), 446, 39]-NRT-code) [i]
8No linear OOA(276, 87, F2, 7, 38) (dual of [(87, 7), 533, 39]-NRT-code) [i]
9No linear OOA(276, 87, F2, 8, 38) (dual of [(87, 8), 620, 39]-NRT-code) [i]
10No digital (38, 76, 87)-net over F2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2152, 164, F2, 76) (dual of [164, 12, 77]-code) [i]Residual Code