MinT - Information on Result #872748

Information on Result #872748

Linear OOA(32¹⁰⁸, 79, F₃₂, 2, 77) (dual of [(79, 2), 50, 78]-NRT-code), using OOA 2-folding based on linear OA(32¹⁰⁸, 158, F₃₂, 77) (dual of [158, 50, 78]-code), using

discarding factors / shortening the dual code based on linear OA(32¹⁰⁸, 159, F₃₂, 77) (dual of [159, 51, 78]-code), using
- constructionÂ X applied to AG(F,41P) âŠ‚ AG(F,61P) [i] based on
  1. linear OA(32⁸⁸, 119, F₃₂, 77) (dual of [119, 31, 78]-code), using algebraic-geometric code AG(F,41P) [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(32⁶⁸, 119, F₃₂, 57) (dual of [119, 51, 58]-code), using algebraic-geometric code AG(F,61P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(32²⁰, 40, F₃₂, 19) (dual of [40, 20, 20]-code), using
    - discarding factors / shortening the dual code based on linear OA(32²⁰, 43, F₃₂, 19) (dual of [43, 23, 20]-code), using
      - algebraic-geometric code AG(F,23P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, 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.