Information on Result #645897

Linear OA(2525, 72, F25, 18) (dual of [72, 47, 19]-code), using construction X applied to AG(F,46P) ⊂ AG(F,50P) based on
  1. linear OA(2522, 65, F25, 18) (dual of [65, 43, 19]-code), using algebraic-geometric code AG(F,46P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
  2. 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 (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(550, 144, F5, 18) (dual of [144, 94, 19]-code) [i]Trace Code
2Linear OA(2595, 697, F25, 37) (dual of [697, 602, 38]-code) [i](u, u+v)-Construction
3Linear OA(2593, 697, F25, 36) (dual of [697, 604, 37]-code) [i]
4Linear OA(2595, 700, F25, 37) (dual of [700, 605, 38]-code) [i]
5Linear OA(2596, 703, F25, 37) (dual of [703, 607, 38]-code) [i]
6Linear OA(2593, 700, F25, 36) (dual of [700, 607, 37]-code) [i]
7Linear OA(2594, 703, F25, 36) (dual of [703, 609, 37]-code) [i]
8Linear OOA(2525, 36, F25, 2, 18) (dual of [(36, 2), 47, 19]-NRT-code) [i]OOA Folding