MinT - Information on Result #872049

Information on Result #872049

Linear OOA(32⁹⁶, 86, F₃₂, 2, 57) (dual of [(86, 2), 76, 58]-NRT-code), using OOA 2-folding based on linear OA(32⁹⁶, 172, F₃₂, 57) (dual of [172, 76, 58]-code), using

discarding factors / shortening the dual code based on linear OA(32⁹⁶, 173, F₃₂, 57) (dual of [173, 77, 58]-code), using
- constructionÂ X applied to AG(F,61P) âŠ‚ AG(F,87P) [i] based on
  1. 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, using
    - a function field by SÃ©mirat [i]
  2. linear OA(32⁴², 119, F₃₂, 31) (dual of [119, 77, 32]-code), using algebraic-geometric code AG(F,87P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(32²⁸, 54, F₃₂, 25) (dual of [54, 26, 26]-code), using
    - discarding factors / shortening the dual code based on linear OA(32²⁸, 63, F₃₂, 25) (dual of [63, 35, 26]-code), using
      - algebraic-geometric code AG(F,37P) [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.