MinT - Information on Result #1762301

Information on Result #1762301

Digital (56, 110, 65)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹¹⁰, 65, F₃, 5, 54) (dual of [(65, 5), 215, 55]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹¹⁰, 66, F₃, 5, 54) (dual of [(66, 5), 220, 55]-NRT-code), using
- constructionÂ X applied to AG(5;F,260P) âŠ‚ AG(5;F,268P) [i] based on
  1. linear OOA(3¹⁰³, 63, F₃, 5, 54) (dual of [(63, 5), 212, 55]-NRT-code), using algebraic-geometric NRT-code AG(5;F,260P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64, using
    - a curve from the manYPoints database [i]
  2. linear OOA(3⁹⁵, 63, F₃, 5, 46) (dual of [(63, 5), 220, 47]-NRT-code), using algebraic-geometric NRT-code AG(5;F,268P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (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.