MinT - Information on Result #871815

Information on Result #871815

Linear OOA(32⁸², 78, F₃₂, 2, 52) (dual of [(78, 2), 74, 53]-NRT-code), using OOA 2-folding based on linear OA(32⁸², 156, F₃₂, 52) (dual of [156, 74, 53]-code), using

discarding factors / shortening the dual code based on linear OA(32⁸², 157, F₃₂, 52) (dual of [157, 75, 53]-code), using
- constructionÂ X applied to AG(F,66P) âŠ‚ AG(F,85P) [i] based on
  1. linear OA(32⁶³, 119, F₃₂, 52) (dual of [119, 56, 53]-code), using algebraic-geometric code AG(F,66P) [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(32⁴⁴, 119, F₃₂, 33) (dual of [119, 75, 34]-code), using algebraic-geometric code AG(F,85P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
  3. linear OA(32¹⁹, 38, F₃₂, 18) (dual of [38, 19, 19]-code), using
    - discarding factors / shortening the dual code based on linear OA(32¹⁹, 43, F₃₂, 18) (dual of [43, 24, 19]-code), using
      - algebraic-geometric code AG(F,24P) [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.