Information on Result #2295396

Linear OA(240, 56, F2, 19) (dual of [56, 16, 20]-code), using adding a parity check bit based on linear OA(239, 55, F2, 18) (dual of [55, 16, 19]-code), using

Mode: 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(240, 56, F2, 18) (dual of [56, 16, 19]-code) [i]Strength Reduction
2Linear OA(241, 57, F2, 19) (dual of [57, 16, 20]-code) [i]Code Embedding in Larger Space
3Linear OA(242, 58, F2, 19) (dual of [58, 16, 20]-code) [i]
4Linear OA(238, 54, F2, 17) (dual of [54, 16, 18]-code) [i]Truncation
5Linear OA(237, 53, F2, 16) (dual of [53, 16, 17]-code) [i]
6Linear OA(2249, 311, F2, 82) (dual of [311, 62, 83]-code) [i]Construction X with Cyclic Codes
7Linear OA(2248, 311, F2, 82) (dual of [311, 63, 83]-code) [i]