MinT - Information on Result #1813656

Information on Result #1813656

Digital (19, 49, 388)-net over F₁₂₈, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(128⁴⁹, 388, F₁₂₈, 2, 30) (dual of [(388, 2), 727, 31]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(128⁴⁹, 389, F₁₂₈, 2, 30) (dual of [(389, 2), 729, 31]-NRT-code), using
- constructionÂ X applied to AG(2;F,739P) âŠ‚ AG(2;F,744P) [i] based on
  1. linear OOA(128⁴⁵, 385, F₁₂₈, 2, 30) (dual of [(385, 2), 725, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,739P) [i] based on function field F/F₁₂₈ with g(F) = 15 and N(F) ≥ 386, using
    - a curve from the manYPoints database [i]
  2. linear OOA(128⁴⁰, 385, F₁₂₈, 2, 25) (dual of [(385, 2), 730, 26]-NRT-code), using algebraic-geometric NRT-code AG(2;F,744P) [i] based on function field F/F₁₂₈ with g(F) = 15 and N(F) ≥ 386 (see above)
  3. linear OOA(128⁴, 4, F₁₂₈, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(128⁴, 128, F₁₂₈, 2, 4) (dual of [(128, 2), 252, 5]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;252,128) [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.