Information on Result #646939

Linear OA(2578, 156, F25, 55) (dual of [156, 78, 56]-code), using construction X applied to AG(F,91P) ⊂ AG(F,96P) based on
  1. linear OA(2574, 147, F25, 55) (dual of [147, 73, 56]-code), using algebraic-geometric code AG(F,91P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
  2. linear OA(2569, 147, F25, 50) (dual of [147, 78, 51]-code), using algebraic-geometric code AG(F,96P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (see above)
  3. linear OA(254, 9, F25, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), 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 OOA(2578, 78, F25, 2, 55) (dual of [(78, 2), 78, 56]-NRT-code) [i]OOA Folding