Information on Result #610133

Linear OA(2116, 120, F2, 63) (dual of [120, 4, 64]-code), using repeating each code word 8 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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2116, 120, F2, 62) (dual of [120, 4, 63]-code) [i]Strength Reduction
2Linear OA(2117, 121, F2, 63) (dual of [121, 4, 64]-code) [i]Code Embedding in Larger Space
3Linear OA(2118, 122, F2, 63) (dual of [122, 4, 64]-code) [i]
4Linear OA(2115, 119, F2, 62) (dual of [119, 4, 63]-code) [i]Truncation
5Linear OA(2114, 118, F2, 61) (dual of [118, 4, 62]-code) [i]
6Linear OOA(2116, 60, F2, 2, 63) (dual of [(60, 2), 4, 64]-NRT-code) [i]OOA Folding
7Linear OOA(2116, 40, F2, 3, 63) (dual of [(40, 3), 4, 64]-NRT-code) [i]
8Linear OOA(2116, 24, F2, 5, 63) (dual of [(24, 5), 4, 64]-NRT-code) [i]