MinT - Information on Result #871664

Information on Result #871664

Linear OOA(32⁸¹, 80, F₃₂, 2, 49) (dual of [(80, 2), 79, 50]-NRT-code), using OOA 2-folding based on linear OA(32⁸¹, 160, F₃₂, 49) (dual of [160, 79, 50]-code), using

discarding factors / shortening the dual code based on linear OA(32⁸¹, 161, F₃₂, 49) (dual of [161, 80, 50]-code), using
- constructionÂ X applied to AG(F,69P) âŠ‚ AG(F,90P) [i] based on
  1. linear OA(32⁶⁰, 119, F₃₂, 49) (dual of [119, 59, 50]-code), using algebraic-geometric code AG(F,69P) [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(32³⁹, 119, F₃₂, 28) (dual of [119, 80, 29]-code), using algebraic-geometric code AG(F,90P) [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.