Information on Result #548157

There is no linear OA(269, 84, F2, 34) (dual of [84, 15, 35]-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(270, 85, F2, 35) (dual of [85, 15, 36]-code) [i]Truncation
2No linear OOA(270, 84, F2, 2, 35) (dual of [(84, 2), 98, 36]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(269, 84, F2, 2, 34) (dual of [(84, 2), 99, 35]-NRT-code) [i]Depth Reduction
4No linear OOA(269, 84, F2, 3, 34) (dual of [(84, 3), 183, 35]-NRT-code) [i]
5No linear OOA(269, 84, F2, 4, 34) (dual of [(84, 4), 267, 35]-NRT-code) [i]
6No linear OOA(269, 84, F2, 5, 34) (dual of [(84, 5), 351, 35]-NRT-code) [i]
7No linear OOA(269, 84, F2, 6, 34) (dual of [(84, 6), 435, 35]-NRT-code) [i]
8No linear OOA(269, 84, F2, 7, 34) (dual of [(84, 7), 519, 35]-NRT-code) [i]
9No linear OOA(269, 84, F2, 8, 34) (dual of [(84, 8), 603, 35]-NRT-code) [i]
10No digital (35, 69, 84)-net over F2 [i]Extracting Embedded Orthogonal Array
11No linear OA(2137, 153, F2, 68) (dual of [153, 16, 69]-code) [i]Residual Code