Information on Result #623041

Linear OA(2729, 52, F27, 26) (dual of [52, 23, 27]-code), using extended algebraic-geometric code AGe(F,25P) based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3139, 208, F3, 53) (dual of [208, 69, 54]-code) [i]Concatenation of Two Codes
2Linear OA(3138, 204, F3, 53) (dual of [204, 66, 54]-code) [i]
3Linear OA(3137, 200, F3, 53) (dual of [200, 63, 54]-code) [i]
4Linear OOA(3243, 156, F3, 2, 107) (dual of [(156, 2), 69, 108]-NRT-code) [i]Concatenation of Two NRT-Codes
5Linear OOA(3240, 153, F3, 2, 107) (dual of [(153, 2), 66, 108]-NRT-code) [i]
6Linear OOA(3237, 150, F3, 2, 107) (dual of [(150, 2), 63, 108]-NRT-code) [i]
7Linear OA(27109, 133, F27, 77) (dual of [133, 24, 78]-code) [i]Construction X with Algebraic-Geometric Codes