Information on Result #657716

Linear OA(25656, 257, F256, 56) (dual of [257, 201, 57]-code or 257-arc in PG(55,256)), using algebraic-geometric code AG(F,100P) with degP = 2 based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(16112, 514, F16, 56) (dual of [514, 402, 57]-code) [i]Trace Code
2OA(3290, 257, S32, 56) [i]Discarding Parts of the Base for OAs
3OA(6475, 257, S64, 56) [i]
4OA(12864, 257, S128, 56) [i]
5Linear OA(25659, 260, F256, 58) (dual of [260, 201, 59]-code) [i]✔Construction X with Algebraic-Geometric Codes
6Linear OA(25657, 260, F256, 56) (dual of [260, 203, 57]-code) [i]✔
7Linear OA(25663, 264, F256, 60) (dual of [264, 201, 61]-code) [i]✔
8Linear OA(25659, 264, F256, 56) (dual of [264, 205, 57]-code) [i]✔
9Linear OA(25667, 268, F256, 62) (dual of [268, 201, 63]-code) [i]✔
10Linear OA(25661, 268, F256, 56) (dual of [268, 207, 57]-code) [i]✔
11Linear OA(25663, 272, F256, 56) (dual of [272, 209, 57]-code) [i]✔
12Linear OA(25665, 276, F256, 56) (dual of [276, 211, 57]-code) [i]✔
13Linear OA(25667, 280, F256, 56) (dual of [280, 213, 57]-code) [i]✔
14Linear OA(25661, 262, F256, 59) (dual of [262, 201, 60]-code) [i]✔
15Linear OA(25658, 262, F256, 56) (dual of [262, 204, 57]-code) [i]✔
16Linear OA(25664, 274, F256, 56) (dual of [274, 210, 57]-code) [i]✔
17Linear OA(25665, 266, F256, 61) (dual of [266, 201, 62]-code) [i]✔
18Linear OA(25660, 266, F256, 56) (dual of [266, 206, 57]-code) [i]✔