MinT - Information on Result #872474

Information on Result #872474

Linear OOA(32¹⁰⁹, 88, F₃₂, 2, 68) (dual of [(88, 2), 67, 69]-NRT-code), using OOA 2-folding based on linear OA(32¹⁰⁹, 176, F₃₂, 68) (dual of [176, 67, 69]-code), using

discarding factors / shortening the dual code based on linear OA(32¹⁰⁹, 177, F₃₂, 68) (dual of [177, 68, 69]-code), using
- constructionÂ X applied to AG(F,50P) âŠ‚ AG(F,78P) [i] based on
  1. linear OA(32⁷⁹, 119, F₃₂, 68) (dual of [119, 40, 69]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
    - a function field by SÃ©mirat [i]
  2. linear OA(32⁵¹, 119, F₃₂, 40) (dual of [119, 68, 41]-code), using algebraic-geometric code AG(F,78P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(32³⁰, 58, F₃₂, 27) (dual of [58, 28, 28]-code), using
    - discarding factors / shortening the dual code based on linear OA(32³⁰, 63, F₃₂, 27) (dual of [63, 33, 28]-code), using
      - algebraic-geometric code AG(F,35P) [i] based on function field F/F₃₂ with g(F) = 3 and N(F) ≥ 64, using
        a function field by SÃ©mirat [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.