MinT - Information on Result #1792488

Information on Result #1792488

Digital (34, 75, 99)-net over F₈, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8⁷⁵, 99, F₈, 3, 41) (dual of [(99, 3), 222, 42]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8⁷⁵, 100, F₈, 3, 41) (dual of [(100, 3), 225, 42]-NRT-code), using
- constructionÂ X applied to AG(3;F,243P) âŠ‚ AG(3;F,251P) [i] based on
  1. linear OOA(8⁶⁸, 95, F₈, 3, 41) (dual of [(95, 3), 217, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,243P) [i] based on function field F/F₈ with g(F) = 27 and N(F) ≥ 96, using
    - a curve from the manYPoints database [i]
  2. linear OOA(8⁶⁰, 95, F₈, 3, 33) (dual of [(95, 3), 225, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,251P) [i] based on function field F/F₈ with g(F) = 27 and N(F) ≥ 96 (see above)
  3. linear OOA(8⁷, 5, F₈, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(8⁷, 8, F₈, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;17,8) [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.