MinT - Information on Result #2277828

Information on Result #2277828

Linear OA(5¹¹¹, 273, F₅, 40) (dual of [273, 162, 41]-code), using 1 times code embedding in larger space based on linear OA(5¹¹⁰, 272, F₅, 40) (dual of [272, 162, 41]-code), using

trace code [i] based on linear OA(25⁵⁵, 136, F₂₅, 40) (dual of [136, 81, 41]-code), using
- constructionÂ X applied to AG(F,84P) âŠ‚ AG(F,90P) [i] based on
  1. linear OA(25⁵⁰, 125, F₂₅, 40) (dual of [125, 75, 41]-code), using algebraic-geometric code AG(F,84P) [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
    - the Hermitian function field over F₂₅ [i]
  2. linear OA(25⁴⁴, 125, F₂₅, 34) (dual of [125, 81, 35]-code), using algebraic-geometric code AG(F,90P) [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126 (see above)
  3. linear OA(25⁵, 11, F₂₅, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,25)), using
    - discarding factors / shortening the dual code based on linear OA(25⁵, 25, F₂₅, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
      - Reedâ€“Solomon code RS(20,25) [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.