MinT - Information on Result #1761627

Information on Result #1761627

Digital (47, 92, 57)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3⁹², 57, F₃, 5, 45) (dual of [(57, 5), 193, 46]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁹², 58, F₃, 5, 45) (dual of [(58, 5), 198, 46]-NRT-code), using
- constructionÂ X applied to AG(5;F,229P) âŠ‚ AG(5;F,237P) [i] based on
  1. linear OOA(3⁸⁵, 55, F₃, 5, 45) (dual of [(55, 5), 190, 46]-NRT-code), using algebraic-geometric NRT-code AG(5;F,229P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56, using
    - a curve from the manYPoints database [i]
  2. linear OOA(3⁷⁷, 55, F₃, 5, 37) (dual of [(55, 5), 198, 38]-NRT-code), using algebraic-geometric NRT-code AG(5;F,237P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56 (see above)
  3. linear OOA(3⁷, 3, F₃, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(5;8,3) [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.