Information on Result #2174868

Linear OA(227, 39, F2, 13) (dual of [39, 12, 14]-code), using adding a parity check bit based on linear OA(226, 38, F2, 12) (dual of [38, 12, 13]-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(227, 39, F2, 12) (dual of [39, 12, 13]-code) [i]Strength Reduction
2Linear OA(228, 40, F2, 13) (dual of [40, 12, 14]-code) [i]Code Embedding in Larger Space
3Linear OA(2147, 165, F2, 61) (dual of [165, 18, 62]-code) [i]Construction X with De Boer–Brouwer Codes
4Linear OOA(227, 19, F2, 2, 13) (dual of [(19, 2), 11, 14]-NRT-code) [i]OOA Folding
5Linear OOA(227, 13, F2, 3, 13) (dual of [(13, 3), 12, 14]-NRT-code) [i]