Information on Result #658023

Linear OA(2567, 257, F256, 7) (dual of [257, 250, 8]-code or 257-arc in PG(6,256)), using algebraic-geometric code AG(F, Q+123P) 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(428, 1028, F4, 7) (dual of [1028, 1000, 8]-code) [i]Trace Code
2Linear OA(1614, 514, F16, 7) (dual of [514, 500, 8]-code) [i]
3OA(3212, 257, S32, 7) [i]Discarding Parts of the Base for OAs
4OA(6410, 257, S64, 7) [i]
5OA(1288, 257, S128, 7) [i]
6Linear OA(25622, 514, F256, 15) (dual of [514, 492, 16]-code) [i](u, u+v)-Construction
7Linear OA(25623, 517, F256, 15) (dual of [517, 494, 16]-code) [i]
8Linear OA(25636, 65794, F256, 15) (dual of [65794, 65758, 16]-code) [i]
9Linear OA(25621, 514, F256, 14) (dual of [514, 493, 15]-code) [i]
10Linear OA(25622, 517, F256, 14) (dual of [517, 495, 15]-code) [i]
11Linear OA(25634, 65793, F256, 14) (dual of [65793, 65759, 15]-code) [i]
12Linear OA(25610, 514, F256, 7) (dual of [514, 504, 8]-code) [i]
13Linear OA(25636, 65795, F256, 15) (dual of [65795, 65759, 16]-code) [i]
14Linear OA(25637, 65799, F256, 15) (dual of [65799, 65762, 16]-code) [i]
15Linear OA(25634, 65795, F256, 14) (dual of [65795, 65761, 15]-code) [i]
16Linear OA(25623, 546, F256, 15) (dual of [546, 523, 16]-code) [i]
17Linear OA(25622, 546, F256, 14) (dual of [546, 524, 15]-code) [i]
18Linear OA(25616, 65792, F256, 7) (dual of [65792, 65776, 8]-code) [i]Generalized (u, u+v)-Construction
19Linear OA(25610, 260, F256, 9) (dual of [260, 250, 10]-code) [i]✔Construction X with Algebraic-Geometric Codes
20Linear OA(2568, 260, F256, 7) (dual of [260, 252, 8]-code) [i]✔
21Linear OA(25614, 264, F256, 11) (dual of [264, 250, 12]-code) [i]✔
22Linear OA(25610, 264, F256, 7) (dual of [264, 254, 8]-code) [i]✔
23Linear OA(25618, 268, F256, 13) (dual of [268, 250, 14]-code) [i]✔
24Linear OA(25622, 272, F256, 15) (dual of [272, 250, 16]-code) [i]✔
25Linear OA(25626, 276, F256, 17) (dual of [276, 250, 18]-code) [i]✔
26Linear OA(25630, 280, F256, 19) (dual of [280, 250, 20]-code) [i]✔
27Linear OA(25634, 284, F256, 21) (dual of [284, 250, 22]-code) [i]✔
28Linear OA(25612, 262, F256, 10) (dual of [262, 250, 11]-code) [i]✔
29Linear OA(2569, 262, F256, 7) (dual of [262, 253, 8]-code) [i]✔
30Linear OA(25624, 274, F256, 16) (dual of [274, 250, 17]-code) [i]✔
31Linear OA(25616, 266, F256, 12) (dual of [266, 250, 13]-code) [i]✔
32Linear OA(25663, 66051, F256, 23) (dual of [66051, 65988, 24]-code) [i](u, u−v, u+v+w)-Construction
33Linear OA(25664, 66054, F256, 23) (dual of [66054, 65990, 24]-code) [i]
34Linear OA(25661, 66050, F256, 22) (dual of [66050, 65989, 23]-code) [i]
35Linear OA(25662, 66053, F256, 22) (dual of [66053, 65991, 23]-code) [i]
36Linear OA(25658, 66051, F256, 21) (dual of [66051, 65993, 22]-code) [i]
37Linear OA(25659, 66054, F256, 21) (dual of [66054, 65995, 22]-code) [i]
38Linear OA(25641, 66051, F256, 15) (dual of [66051, 66010, 16]-code) [i]
39Linear OA(25638, 66050, F256, 14) (dual of [66050, 66012, 15]-code) [i]