MinT - Information on Result #2277460

Information on Result #2277460

Linear OA(5⁶⁵, 149, F₅, 24) (dual of [149, 84, 25]-code), using 1 times code embedding in larger space based on linear OA(5⁶⁴, 148, F₅, 24) (dual of [148, 84, 25]-code), using

trace code [i] based on linear OA(25³², 74, F₂₅, 24) (dual of [74, 42, 25]-code), using
- constructionÂ X applied to AG(F,40P) âŠ‚ AG(F,45P) [i] based on
  1. linear OA(25²⁸, 65, F₂₅, 24) (dual of [65, 37, 25]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OA(25²³, 65, F₂₅, 19) (dual of [65, 42, 20]-code), using algebraic-geometric code AG(F,45P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66 (see above)
  3. linear OA(25⁴, 9, F₂₅, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
    - discarding factors / shortening the dual code based on linear OA(25⁴, 25, F₂₅, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
      - Reedâ€“Solomon code RS(21,25) [i]

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

None.