MinT - Information on Result #830668

Information on Result #830668

Linear OOA(4²⁴², 237, F₄, 2, 75) (dual of [(237, 2), 232, 76]-NRT-code), using OOA 2-folding based on linear OA(4²⁴², 474, F₄, 75) (dual of [474, 232, 76]-code), using

trace code [i] based on linear OA(16¹²¹, 237, F₁₆, 75) (dual of [237, 116, 76]-code), using
- constructionÂ X applied to AG(F,148P) âŠ‚ AG(F,155P) [i] based on
  1. linear OA(16¹¹⁵, 224, F₁₆, 75) (dual of [224, 109, 76]-code), using algebraic-geometric code AG(F,148P) [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(16¹⁰⁸, 224, F₁₆, 68) (dual of [224, 116, 69]-code), using algebraic-geometric code AG(F,155P) [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225 (see above)
  3. linear OA(16⁶, 13, F₁₆, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁶, 16, F₁₆, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
      - Reedâ€“Solomon code RS(10,16) [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.