Information on Result #648214

Linear OA(2740, 87, F27, 31) (dual of [87, 47, 32]-code), using algebraic-geometric code AG(F,55P) based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, 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(2755, 102, F27, 39) (dual of [102, 47, 40]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(2747, 102, F27, 31) (dual of [102, 55, 32]-code) [i]✔
3Linear OA(2757, 104, F27, 40) (dual of [104, 47, 41]-code) [i]✔
4Linear OA(2748, 104, F27, 31) (dual of [104, 56, 32]-code) [i]✔
5Linear OA(2765, 112, F27, 44) (dual of [112, 47, 45]-code) [i]✔
6Linear OA(2752, 112, F27, 31) (dual of [112, 60, 32]-code) [i]✔
7Linear OA(2767, 114, F27, 45) (dual of [114, 47, 46]-code) [i]✔
8Linear OA(2753, 114, F27, 31) (dual of [114, 61, 32]-code) [i]✔
9Linear OA(2770, 117, F27, 46) (dual of [117, 47, 47]-code) [i]✔
10Linear OA(2772, 119, F27, 47) (dual of [119, 47, 48]-code) [i]✔
11Linear OA(2774, 121, F27, 48) (dual of [121, 47, 49]-code) [i]✔
12Linear OA(2776, 123, F27, 49) (dual of [123, 47, 50]-code) [i]✔
13Linear OA(2778, 125, F27, 50) (dual of [125, 47, 51]-code) [i]✔
14Linear OA(2781, 128, F27, 51) (dual of [128, 47, 52]-code) [i]✔
15Linear OA(2783, 130, F27, 52) (dual of [130, 47, 53]-code) [i]✔
16Linear OA(2769, 116, F27, 46) (dual of [116, 47, 47]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
17Linear OA(2768, 116, F27, 45) (dual of [116, 48, 46]-code) [i]✔
18Linear OA(2754, 116, F27, 31) (dual of [116, 62, 32]-code) [i]✔