Information on Result #2174864

Linear OA(223, 50, F2, 9) (dual of [50, 27, 10]-code), using adding a parity check bit based on linear OA(222, 49, F2, 8) (dual of [49, 27, 9]-code), using

Mode: Constructive and 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
1Linear OA(223, 50, F2, 8) (dual of [50, 27, 9]-code) [i]Strength Reduction
2Linear OA(224, 51, F2, 9) (dual of [51, 27, 10]-code) [i]Code Embedding in Larger Space
3Linear OOA(223, 25, F2, 2, 9) (dual of [(25, 2), 27, 10]-NRT-code) [i]OOA Folding
4Linear OOA(223, 16, F2, 3, 9) (dual of [(16, 3), 25, 10]-NRT-code) [i]