MinT - Information on Result #830858

Information on Result #830858

Linear OOA(4²⁴², 233, F₄, 2, 77) (dual of [(233, 2), 224, 78]-NRT-code), using OOA 2-folding based on linear OA(4²⁴², 466, F₄, 77) (dual of [466, 224, 78]-code), using

trace code [i] based on linear OA(16¹²¹, 233, F₁₆, 77) (dual of [233, 112, 78]-code), using
- constructionÂ X applied to AG(F,146P) âŠ‚ AG(F,151P) [i] based on
  1. linear OA(16¹¹⁷, 224, F₁₆, 77) (dual of [224, 107, 78]-code), using algebraic-geometric code AG(F,146P) [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OA(16¹¹², 224, F₁₆, 72) (dual of [224, 112, 73]-code), using algebraic-geometric code AG(F,151P) [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225 (see above)
  3. linear OA(16⁴, 9, F₁₆, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁴, 16, F₁₆, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
      - Reedâ€“Solomon code RS(12,16) [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.