MinT - Information on Result #2277922

Information on Result #2277922

Linear OA(5¹³³, 305, F₅, 45) (dual of [305, 172, 46]-code), using 1 times code embedding in larger space based on linear OA(5¹³², 304, F₅, 45) (dual of [304, 172, 46]-code), using

trace code [i] based on linear OA(25⁶⁶, 152, F₂₅, 45) (dual of [152, 86, 46]-code), using
- constructionÂ X applied to AG(F,101P) âŠ‚ AG(F,104P) [i] based on
  1. linear OA(25⁶⁴, 147, F₂₅, 45) (dual of [147, 83, 46]-code), using algebraic-geometric code AG(F,101P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OA(25⁶¹, 147, F₂₅, 42) (dual of [147, 86, 43]-code), using algebraic-geometric code AG(F,104P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148 (see above)
  3. linear OA(25², 5, F₂₅, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
    - discarding factors / shortening the dual code based on linear OA(25², 25, F₂₅, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
      - Reedâ€“Solomon code RS(23,25) [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.