Information on Result #646687

Linear OA(2597, 150, F25, 77) (dual of [150, 53, 78]-code), using construction X applied to AG(F,69P) ⊂ AG(F,71P) based on
  1. linear OA(2596, 147, F25, 77) (dual of [147, 51, 78]-code), using algebraic-geometric code AG(F,69P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
  2. linear OA(2594, 147, F25, 75) (dual of [147, 53, 76]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (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 OOA(2597, 75, F25, 2, 77) (dual of [(75, 2), 53, 78]-NRT-code) [i]OOA Folding