MinT - Information on Result #1762257

Information on Result #1762257

Digital (56, 109, 66)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹⁰⁹, 66, F₃, 5, 53) (dual of [(66, 5), 221, 54]-NRT-code), using

constructionÂ X applied to AG(5;F,261P) âŠ‚ AG(5;F,269P) [i] based on
1. linear OOA(3¹⁰², 63, F₃, 5, 53) (dual of [(63, 5), 213, 54]-NRT-code), using algebraic-geometric NRT-code AG(5;F,261P) [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(3⁹⁴, 63, F₃, 5, 45) (dual of [(63, 5), 221, 46]-NRT-code), using algebraic-geometric NRT-code AG(5;F,269P) [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.