Information on Result #1320179

Linear OA(3114, 145, F3, 56) (dual of [145, 31, 57]-code), using a “GraXX” code from Grassl’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(3114, 145, F3, 55) (dual of [145, 31, 56]-code) [i]Strength Reduction
2Linear OA(3114, 145, F3, 54) (dual of [145, 31, 55]-code) [i]
3Linear OA(3114, 145, F3, 53) (dual of [145, 31, 54]-code) [i]
4Linear OA(3115, 146, F3, 56) (dual of [146, 31, 57]-code) [i]Code Embedding in Larger Space
5Linear OA(3116, 147, F3, 56) (dual of [147, 31, 57]-code) [i]
6Linear OA(3117, 148, F3, 56) (dual of [148, 31, 57]-code) [i]
7Linear OA(3113, 144, F3, 55) (dual of [144, 31, 56]-code) [i]Truncation
8Linear OA(3112, 143, F3, 54) (dual of [143, 31, 55]-code) [i]
9Linear OA(3110, 141, F3, 52) (dual of [141, 31, 53]-code) [i]
10Linear OA(3109, 140, F3, 51) (dual of [140, 31, 52]-code) [i]
11Linear OA(3120, 152, F3, 56) (dual of [152, 32, 57]-code) [i]Construction X with VarÅ¡amov Bound