MinT - Information on Result #1061411

Information on Result #1061411

Linear OOA(3⁸⁶, 66, F₃, 4, 27) (dual of [(66, 4), 178, 28]-NRT-code), using OOA 2-folding based on linear OOA(3⁸⁶, 132, F₃, 2, 27) (dual of [(132, 2), 178, 28]-NRT-code), using

trace code [i] based on linear OOA(9⁴³, 66, F₉, 2, 27) (dual of [(66, 2), 89, 28]-NRT-code), using
- constructionÂ X applied to AG(2;F,98P) âŠ‚ AG(2;F,102P) [i] based on
  1. linear OOA(9⁴⁰, 63, F₉, 2, 27) (dual of [(63, 2), 86, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,98P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(9³⁶, 63, F₉, 2, 23) (dual of [(63, 2), 90, 24]-NRT-code), using algebraic-geometric NRT-code AG(2;F,102P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64 (see above)
  3. linear OOA(9³, 3, F₉, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9³, 9, F₉, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;15,9) [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.