Information on Result #647814

Linear OA(2743, 81, F27, 36) (dual of [81, 38, 37]-code), using algebraic-geometric code AG(F,44P) based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, 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(3210, 324, F3, 73) (dual of [324, 114, 74]-code) [i]Concatenation of Two Codes
2Linear OA(3209, 320, F3, 73) (dual of [320, 111, 74]-code) [i]
3Linear OA(3208, 316, F3, 73) (dual of [316, 108, 74]-code) [i]
4Linear OA(3207, 312, F3, 73) (dual of [312, 105, 74]-code) [i]
5Linear OA(2779, 117, F27, 54) (dual of [117, 38, 55]-code) [i]Construction X with Algebraic-Geometric Codes
6Linear OA(2761, 117, F27, 36) (dual of [117, 56, 37]-code) [i]
7Linear OA(2781, 119, F27, 55) (dual of [119, 38, 56]-code) [i]
8Linear OA(2784, 122, F27, 56) (dual of [122, 38, 57]-code) [i]
9Linear OA(2786, 124, F27, 57) (dual of [124, 38, 58]-code) [i]
10Linear OA(2788, 126, F27, 58) (dual of [126, 38, 59]-code) [i]
11Linear OA(2790, 128, F27, 59) (dual of [128, 38, 60]-code) [i]
12Linear OA(2793, 131, F27, 60) (dual of [131, 38, 61]-code) [i]