MinT - Information on Result #1061821

Information on Result #1061821

Linear OOA(3⁸⁶, 43, F₃, 4, 31) (dual of [(43, 4), 86, 32]-NRT-code), using OOA 2-folding based on linear OOA(3⁸⁶, 86, F₃, 2, 31) (dual of [(86, 2), 86, 32]-NRT-code), using

trace code [i] based on linear OOA(9⁴³, 43, F₉, 2, 31) (dual of [(43, 2), 43, 32]-NRT-code), using
- constructionÂ X applied to AG(2;F,46P) âŠ‚ AG(2;F,51P) [i] based on
  1. linear OOA(9³⁹, 39, F₉, 2, 31) (dual of [(39, 2), 39, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,46P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, using
    - a function field by SÃ©mirat [i]
  2. linear OOA(9³⁴, 39, F₉, 2, 26) (dual of [(39, 2), 44, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,51P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40 (see above)
  3. linear OOA(9⁴, 4, F₉, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁴, 9, F₉, 2, 4) (dual of [(9, 2), 14, 5]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;14,9) [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.