Information on Result #657973

Linear OA(25657, 257, F256, 57) (dual of [257, 200, 58]-code or 257-arc in PG(56,256)), using algebraic-geometric code AG(F, Q+98P) with degQ = 3 and 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(16114, 514, F16, 57) (dual of [514, 400, 58]-code) [i]Trace Code
2OA(3292, 257, S32, 57) [i]Discarding Parts of the Base for OAs
3OA(6476, 257, S64, 57) [i]
4Linear OA(25660, 260, F256, 59) (dual of [260, 200, 60]-code) [i]✔Construction X with Algebraic-Geometric Codes
5Linear OA(25658, 260, F256, 57) (dual of [260, 202, 58]-code) [i]✔
6Linear OA(25664, 264, F256, 61) (dual of [264, 200, 62]-code) [i]✔
7Linear OA(25660, 264, F256, 57) (dual of [264, 204, 58]-code) [i]✔
8Linear OA(25668, 268, F256, 63) (dual of [268, 200, 64]-code) [i]✔
9Linear OA(25662, 268, F256, 57) (dual of [268, 206, 58]-code) [i]✔
10Linear OA(25664, 272, F256, 57) (dual of [272, 208, 58]-code) [i]✔
11Linear OA(25666, 276, F256, 57) (dual of [276, 210, 58]-code) [i]✔
12Linear OA(25668, 280, F256, 57) (dual of [280, 212, 58]-code) [i]✔
13Linear OA(25662, 262, F256, 60) (dual of [262, 200, 61]-code) [i]✔
14Linear OA(25659, 262, F256, 57) (dual of [262, 203, 58]-code) [i]✔
15Linear OA(25665, 274, F256, 57) (dual of [274, 209, 58]-code) [i]✔
16Linear OA(25666, 266, F256, 62) (dual of [266, 200, 63]-code) [i]✔
17Linear OA(25661, 266, F256, 57) (dual of [266, 205, 58]-code) [i]✔