MinT - Information on Result #1062206

Information on Result #1062206

Linear OOA(3⁹², 42, F₃, 4, 35) (dual of [(42, 4), 76, 36]-NRT-code), using OOA 2-folding based on linear OOA(3⁹², 84, F₃, 2, 35) (dual of [(84, 2), 76, 36]-NRT-code), using

trace code [i] based on linear OOA(9⁴⁶, 42, F₉, 2, 35) (dual of [(42, 2), 38, 36]-NRT-code), using
- constructionÂ X applied to AG(2;F,42P) âŠ‚ AG(2;F,46P) [i] based on
  1. linear OOA(9⁴³, 39, F₉, 2, 35) (dual of [(39, 2), 35, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,42P) [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(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 (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.