Information on Result #610137

Linear OA(2101, 105, F2, 55) (dual of [105, 4, 56]-code), using repeating each code word 7 times based on linear OA(211, 15, F2, 7) (dual of [15, 4, 8]-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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2101, 105, F2, 54) (dual of [105, 4, 55]-code) [i]Strength Reduction
2Linear OA(2102, 106, F2, 55) (dual of [106, 4, 56]-code) [i]Code Embedding in Larger Space
3Linear OA(2103, 107, F2, 55) (dual of [107, 4, 56]-code) [i]
4Linear OA(2100, 104, F2, 54) (dual of [104, 4, 55]-code) [i]Truncation
5Linear OA(299, 103, F2, 53) (dual of [103, 4, 54]-code) [i]
6Linear OOA(2101, 35, F2, 3, 55) (dual of [(35, 3), 4, 56]-NRT-code) [i]OOA Folding
7Linear OOA(2101, 21, F2, 5, 55) (dual of [(21, 5), 4, 56]-NRT-code) [i]