MinT - Information on Result #1098824

Information on Result #1098824

Linear OOA(2²⁴⁹, 105, F₂, 5, 60) (dual of [(105, 5), 276, 61]-NRT-code), using OOA 2-folding based on linear OOA(2²⁴⁹, 210, F₂, 3, 60) (dual of [(210, 3), 381, 61]-NRT-code), using

trace code [i] based on linear OOA(8⁸³, 70, F₈, 3, 60) (dual of [(70, 3), 127, 61]-NRT-code), using
- constructionÂ X applied to AG(3;F,131P) âŠ‚ AG(3;F,141P) [i] based on
  1. linear OOA(8⁷⁴, 64, F₈, 3, 60) (dual of [(64, 3), 118, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,131P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]
  2. linear OOA(8⁶⁴, 64, F₈, 3, 50) (dual of [(64, 3), 128, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,141P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(8⁹, 6, F₈, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(8⁹, 8, F₈, 3, 9) (dual of [(8, 3), 15, 10]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;15,8) [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.