Information on Result #1316973

Linear OA(3102, 123, F3, 56) (dual of [123, 21, 57]-code), using a “DaH” code from Brouwer’s database

Mode: 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(3102, 123, F3, 55) (dual of [123, 21, 56]-code) [i]Strength Reduction
2Linear OA(3102, 123, F3, 54) (dual of [123, 21, 55]-code) [i]
3Linear OA(3103, 124, F3, 56) (dual of [124, 21, 57]-code) [i]Code Embedding in Larger Space
4Linear OA(3104, 125, F3, 56) (dual of [125, 21, 57]-code) [i]
5Linear OA(3105, 126, F3, 56) (dual of [126, 21, 57]-code) [i]
6Linear OA(3101, 122, F3, 55) (dual of [122, 21, 56]-code) [i]Truncation
7Linear OA(3100, 121, F3, 54) (dual of [121, 21, 55]-code) [i]
8Linear OA(399, 120, F3, 53) (dual of [120, 21, 54]-code) [i]
9Linear OA(398, 119, F3, 52) (dual of [119, 21, 53]-code) [i]
10Linear OA(397, 118, F3, 51) (dual of [118, 21, 52]-code) [i]
11Linear OA(3115, 139, F3, 56) (dual of [139, 24, 57]-code) [i]Construction X with VarÅ¡amov Bound