Information on Result #647832

Linear OA(2734, 81, F27, 27) (dual of [81, 47, 28]-code), using algebraic-geometric code AG(F,53P) 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(3183, 324, F3, 55) (dual of [324, 141, 56]-code) [i]Concatenation of Two Codes
2Linear OA(3182, 320, F3, 55) (dual of [320, 138, 56]-code) [i]
3Linear OA(3181, 316, F3, 55) (dual of [316, 135, 56]-code) [i]
4Linear OA(3180, 312, F3, 55) (dual of [312, 132, 56]-code) [i]
5Linear OA(2770, 117, F27, 45) (dual of [117, 47, 46]-code) [i]Construction X with Algebraic-Geometric Codes
6Linear OA(2772, 119, F27, 46) (dual of [119, 47, 47]-code) [i]
7Linear OA(2775, 122, F27, 47) (dual of [122, 47, 48]-code) [i]
8Linear OA(2777, 124, F27, 48) (dual of [124, 47, 49]-code) [i]
9Linear OA(2779, 126, F27, 49) (dual of [126, 47, 50]-code) [i]
10Linear OA(2781, 128, F27, 50) (dual of [128, 47, 51]-code) [i]