Information on Result #657758

Linear OA(25614, 257, F256, 14) (dual of [257, 243, 15]-code or 257-arc in PG(13,256)), using algebraic-geometric code AG(F,121P) 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(1628, 514, F16, 14) (dual of [514, 486, 15]-code) [i]Trace Code
2Linear OA(1627, 257, F16, 14) (dual of [257, 230, 15]-code) [i]Base Reduction for Projective Spaces
3OA(3223, 257, S32, 14) [i]Discarding Parts of the Base for OAs
4OA(6419, 257, S64, 14) [i]
5OA(12816, 257, S128, 14) [i]
6Linear OA(25643, 514, F256, 29) (dual of [514, 471, 30]-code) [i](u, u+v)-Construction
7Linear OA(25644, 517, F256, 29) (dual of [517, 473, 30]-code) [i]
8Linear OA(25642, 514, F256, 28) (dual of [514, 472, 29]-code) [i]
9Linear OA(25643, 517, F256, 28) (dual of [517, 474, 29]-code) [i]
10Linear OA(25621, 514, F256, 14) (dual of [514, 493, 15]-code) [i]
11Linear OA(25644, 546, F256, 29) (dual of [546, 502, 30]-code) [i]
12Linear OA(25643, 546, F256, 28) (dual of [546, 503, 29]-code) [i]
13Linear OA(25617, 260, F256, 16) (dual of [260, 243, 17]-code) [i]✔Construction X with Algebraic-Geometric Codes
14Linear OA(25615, 260, F256, 14) (dual of [260, 245, 15]-code) [i]✔
15Linear OA(25621, 264, F256, 18) (dual of [264, 243, 19]-code) [i]✔
16Linear OA(25617, 264, F256, 14) (dual of [264, 247, 15]-code) [i]✔
17Linear OA(25625, 268, F256, 20) (dual of [268, 243, 21]-code) [i]✔
18Linear OA(25619, 268, F256, 14) (dual of [268, 249, 15]-code) [i]✔
19Linear OA(25629, 272, F256, 22) (dual of [272, 243, 23]-code) [i]✔
20Linear OA(25621, 272, F256, 14) (dual of [272, 251, 15]-code) [i]✔
21Linear OA(25633, 276, F256, 24) (dual of [276, 243, 25]-code) [i]✔
22Linear OA(25637, 280, F256, 26) (dual of [280, 243, 27]-code) [i]✔
23Linear OA(25641, 284, F256, 28) (dual of [284, 243, 29]-code) [i]✔
24Linear OA(25645, 288, F256, 30) (dual of [288, 243, 31]-code) [i]✔
25Linear OA(25649, 292, F256, 32) (dual of [292, 243, 33]-code) [i]✔
26Linear OA(25653, 296, F256, 34) (dual of [296, 243, 35]-code) [i]✔
27Linear OA(25657, 300, F256, 36) (dual of [300, 243, 37]-code) [i]✔
28Linear OA(25661, 304, F256, 38) (dual of [304, 243, 39]-code) [i]✔
29Linear OA(25665, 308, F256, 40) (dual of [308, 243, 41]-code) [i]✔
30Linear OA(25619, 262, F256, 17) (dual of [262, 243, 18]-code) [i]✔
31Linear OA(25616, 262, F256, 14) (dual of [262, 246, 15]-code) [i]✔
32Linear OA(25631, 274, F256, 23) (dual of [274, 243, 24]-code) [i]✔
33Linear OA(25622, 274, F256, 14) (dual of [274, 252, 15]-code) [i]✔
34Linear OA(25643, 286, F256, 29) (dual of [286, 243, 30]-code) [i]✔
35Linear OA(25655, 298, F256, 35) (dual of [298, 243, 36]-code) [i]✔
36Linear OA(25667, 310, F256, 41) (dual of [310, 243, 42]-code) [i]✔
37Linear OA(25623, 266, F256, 19) (dual of [266, 243, 20]-code) [i]✔
38Linear OA(25618, 266, F256, 14) (dual of [266, 248, 15]-code) [i]✔
39Linear OA(25663, 306, F256, 39) (dual of [306, 243, 40]-code) [i]✔