Information on Result #647532

Linear OA(2594, 224, F25, 57) (dual of [224, 130, 58]-code), using construction X applied to AG(F,141P) ⊂ AG(F,154P) based on
  1. linear OA(2582, 199, F25, 57) (dual of [199, 117, 58]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
  2. linear OA(2569, 199, F25, 44) (dual of [199, 130, 45]-code), using algebraic-geometric code AG(F,154P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
  3. linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), 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(2594, 112, F25, 2, 57) (dual of [(112, 2), 130, 58]-NRT-code) [i]OOA Folding