MinT - Information on Result #1064284

Information on Result #1064284

Linear OOA(3¹⁷⁰, 80, F₃, 4, 61) (dual of [(80, 4), 150, 62]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁷⁰, 160, F₃, 2, 61) (dual of [(160, 2), 150, 62]-NRT-code), using

trace code [i] based on linear OOA(9⁸⁵, 80, F₉, 2, 61) (dual of [(80, 2), 75, 62]-NRT-code), using
- constructionÂ X applied to AG(2;F,84P) âŠ‚ AG(2;F,92P) [i] based on
  1. linear OOA(9⁷⁸, 73, F₉, 2, 61) (dual of [(73, 2), 68, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,84P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(9⁷⁰, 73, F₉, 2, 53) (dual of [(73, 2), 76, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,92P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9⁷, 7, F₉, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁷, 9, F₉, 2, 7) (dual of [(9, 2), 11, 8]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;11,9) [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.