MinT - Information on Result #872213

Information on Result #872213

Linear OOA(32¹⁰¹, 87, F₃₂, 2, 61) (dual of [(87, 2), 73, 62]-NRT-code), using OOA 2-folding based on linear OA(32¹⁰¹, 174, F₃₂, 61) (dual of [174, 73, 62]-code), using

discarding factors / shortening the dual code based on linear OA(32¹⁰¹, 175, F₃₂, 61) (dual of [175, 74, 62]-code), using
- constructionÂ X applied to AG(F,57P) âŠ‚ AG(F,84P) [i] based on
  1. linear OA(32⁷², 119, F₃₂, 61) (dual of [119, 47, 62]-code), using algebraic-geometric code AG(F,57P) [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(32⁴⁵, 119, F₃₂, 34) (dual of [119, 74, 35]-code), using algebraic-geometric code AG(F,84P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(32²⁹, 56, F₃₂, 26) (dual of [56, 27, 27]-code), using
    - discarding factors / shortening the dual code based on linear OA(32²⁹, 63, F₃₂, 26) (dual of [63, 34, 27]-code), using
      - algebraic-geometric code AG(F,36P) [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.