Information on Result #657171

Linear OA(2515, 29, F25, 14) (dual of [29, 14, 15]-code), using construction X applied to AG(F, Q+4P) ⊂ AG(F, Q+5P) based on
  1. linear OA(2514, 26, F25, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,25)), using algebraic-geometric code AG(F, Q+4P) with degQ = 3 and degP = 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
  2. linear OA(2512, 26, F25, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,25)), using algebraic-geometric code AG(F, Q+5P) with degQ = 3 and degP = 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
  3. linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), 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(2569, 654, F25, 29) (dual of [654, 585, 30]-code) [i](u, u+v)-Construction
2Linear OA(2597, 15654, F25, 29) (dual of [15654, 15557, 30]-code) [i]
3Linear OA(2567, 654, F25, 28) (dual of [654, 587, 29]-code) [i]
4Linear OA(2594, 15654, F25, 28) (dual of [15654, 15560, 29]-code) [i]
5Linear OA(2578, 680, F25, 29) (dual of [680, 602, 30]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(2579, 683, F25, 29) (dual of [683, 604, 30]-code) [i]
7Linear OA(25106, 15680, F25, 29) (dual of [15680, 15574, 30]-code) [i]
8Linear OA(25107, 15683, F25, 29) (dual of [15683, 15576, 30]-code) [i]
9Linear OA(2576, 680, F25, 28) (dual of [680, 604, 29]-code) [i]
10Linear OA(2577, 683, F25, 28) (dual of [683, 606, 29]-code) [i]
11Linear OA(25103, 15680, F25, 28) (dual of [15680, 15577, 29]-code) [i]
12Linear OA(25104, 15683, F25, 28) (dual of [15683, 15579, 29]-code) [i]