Information on Result #736578

Linear OA(2134, 170, F2, 49) (dual of [170, 36, 50]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

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(2134, 170, F2, 48) (dual of [170, 36, 49]-code) [i]Strength Reduction
2Linear OA(2134, 170, F2, 47) (dual of [170, 36, 48]-code) [i]
3Linear OA(2134, 170, F2, 46) (dual of [170, 36, 47]-code) [i]
4Linear OA(2135, 171, F2, 49) (dual of [171, 36, 50]-code) [i]Code Embedding in Larger Space
5Linear OA(2136, 172, F2, 49) (dual of [172, 36, 50]-code) [i]
6Linear OA(2137, 173, F2, 49) (dual of [173, 36, 50]-code) [i]
7Linear OA(2133, 169, F2, 48) (dual of [169, 36, 49]-code) [i]Truncation
8Linear OA(2131, 167, F2, 46) (dual of [167, 36, 47]-code) [i]
9Linear OOA(2134, 85, F2, 2, 49) (dual of [(85, 2), 36, 50]-NRT-code) [i]OOA Folding
10Linear OOA(2134, 56, F2, 3, 49) (dual of [(56, 3), 34, 50]-NRT-code) [i]