Information on Result #736606

Linear OA(2190, 210, F2, 81) (dual of [210, 20, 82]-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(2190, 210, F2, 80) (dual of [210, 20, 81]-code) [i]Strength Reduction
2Linear OA(2191, 211, F2, 81) (dual of [211, 20, 82]-code) [i]Code Embedding in Larger Space
3Linear OA(2192, 212, F2, 81) (dual of [212, 20, 82]-code) [i]
4Linear OA(2193, 213, F2, 81) (dual of [213, 20, 82]-code) [i]
5Linear OA(2197, 217, F2, 81) (dual of [217, 20, 82]-code) [i]
6Linear OA(2189, 209, F2, 80) (dual of [209, 20, 81]-code) [i]Truncation
7Linear OOA(2190, 105, F2, 2, 81) (dual of [(105, 2), 20, 82]-NRT-code) [i]OOA Folding
8Linear OOA(2190, 70, F2, 3, 81) (dual of [(70, 3), 20, 82]-NRT-code) [i]