Information on Result #2156252

There is no linear OA(295, 129, F2, 44) (dual of [129, 34, 45]-code), because adding a parity check bit would yield linear OA(296, 130, F2, 45) (dual of [130, 34, 46]-code), but

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(296, 129, F2, 2, 45) (dual of [(129, 2), 162, 46]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(295, 129, F2, 2, 44) (dual of [(129, 2), 163, 45]-NRT-code) [i]Depth Reduction
3No linear OOA(295, 129, F2, 3, 44) (dual of [(129, 3), 292, 45]-NRT-code) [i]
4No linear OOA(295, 129, F2, 4, 44) (dual of [(129, 4), 421, 45]-NRT-code) [i]
5No linear OOA(295, 129, F2, 5, 44) (dual of [(129, 5), 550, 45]-NRT-code) [i]
6No linear OOA(295, 129, F2, 6, 44) (dual of [(129, 6), 679, 45]-NRT-code) [i]
7No linear OOA(295, 129, F2, 7, 44) (dual of [(129, 7), 808, 45]-NRT-code) [i]
8No linear OOA(295, 129, F2, 8, 44) (dual of [(129, 8), 937, 45]-NRT-code) [i]
9No digital (51, 95, 129)-net over F2 [i]Extracting Embedded Orthogonal Array