Information on Result #736268

Linear OA(3118, 124, F3, 80) (dual of [124, 6, 81]-code), using an explicit generator matrix

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(3118, 124, F3, 79) (dual of [124, 6, 80]-code) [i]Strength Reduction
2Linear OA(3118, 124, F3, 78) (dual of [124, 6, 79]-code) [i]
3Linear OA(3119, 125, F3, 80) (dual of [125, 6, 81]-code) [i]Code Embedding in Larger Space
4Linear OA(3117, 123, F3, 79) (dual of [123, 6, 80]-code) [i]Truncation
5Linear OA(3116, 122, F3, 78) (dual of [122, 6, 79]-code) [i]
6Linear OA(3115, 121, F3, 77) (dual of [121, 6, 78]-code) [i]
7Linear OA(3114, 120, F3, 76) (dual of [120, 6, 77]-code) [i]
8Linear OA(3113, 119, F3, 75) (dual of [119, 6, 76]-code) [i]
9Linear OOA(3118, 62, F3, 2, 80) (dual of [(62, 2), 6, 81]-NRT-code) [i]OOA Folding
10Linear OOA(3118, 41, F3, 3, 80) (dual of [(41, 3), 5, 81]-NRT-code) [i]