Information on Result #645901

Linear OA(2521, 72, F25, 14) (dual of [72, 51, 15]-code), using construction X applied to AG(F,50P) ⊂ AG(F,54P) based on
  1. linear OA(2518, 65, F25, 14) (dual of [65, 47, 15]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
  2. linear OA(2514, 65, F25, 10) (dual of [65, 51, 11]-code), using algebraic-geometric code AG(F,54P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
  3. linear OA(253, 7, F25, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,25) or 7-cap in PG(2,25)), 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(2575, 697, F25, 29) (dual of [697, 622, 30]-code) [i](u, u+v)-Construction
2Linear OA(25103, 15697, F25, 29) (dual of [15697, 15594, 30]-code) [i]
3Linear OA(2573, 697, F25, 28) (dual of [697, 624, 29]-code) [i]
4Linear OA(25100, 15697, F25, 28) (dual of [15697, 15597, 29]-code) [i]
5Linear OA(2575, 700, F25, 29) (dual of [700, 625, 30]-code) [i]
6Linear OA(25103, 15700, F25, 29) (dual of [15700, 15597, 30]-code) [i]
7Linear OA(25104, 15704, F25, 29) (dual of [15704, 15600, 30]-code) [i]
8Linear OA(2573, 699, F25, 28) (dual of [699, 626, 29]-code) [i]
9Linear OA(25100, 15700, F25, 28) (dual of [15700, 15600, 29]-code) [i]
10Linear OA(25101, 15704, F25, 28) (dual of [15704, 15603, 29]-code) [i]
11Linear OOA(2521, 36, F25, 2, 14) (dual of [(36, 2), 51, 15]-NRT-code) [i]OOA Folding