MinT - Information on Result #872502

Information on Result #872502

Linear OOA(32¹⁰¹, 80, F₃₂, 2, 69) (dual of [(80, 2), 59, 70]-NRT-code), using OOA 2-folding based on linear OA(32¹⁰¹, 160, F₃₂, 69) (dual of [160, 59, 70]-code), using

discarding factors / shortening the dual code based on linear OA(32¹⁰¹, 161, F₃₂, 69) (dual of [161, 60, 70]-code), using
- constructionÂ X applied to AG(F,49P) âŠ‚ AG(F,70P) [i] based on
  1. linear OA(32⁸⁰, 119, F₃₂, 69) (dual of [119, 39, 70]-code), using algebraic-geometric code AG(F,49P) [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(32⁵⁹, 119, F₃₂, 48) (dual of [119, 60, 49]-code), using algebraic-geometric code AG(F,70P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(32²¹, 42, F₃₂, 20) (dual of [42, 21, 21]-code), using
    - discarding factors / shortening the dual code based on linear OA(32²¹, 43, F₃₂, 20) (dual of [43, 22, 21]-code), using
      - algebraic-geometric code AG(F,22P) [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.