MinT - Information on Result #1762701

Information on Result #1762701

Digital (60, 119, 67)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹¹⁹, 67, F₃, 5, 59) (dual of [(67, 5), 216, 60]-NRT-code), using

strength reduction [i] based on linear OOA(3¹¹⁹, 67, F₃, 5, 60) (dual of [(67, 5), 216, 61]-NRT-code), using
- constructionÂ X applied to AG(5;F,254P) âŠ‚ AG(5;F,265P) [i] based on
  1. linear OOA(3¹⁰⁹, 63, F₃, 5, 60) (dual of [(63, 5), 206, 61]-NRT-code), using algebraic-geometric NRT-code AG(5;F,254P) [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(3⁹⁸, 63, F₃, 5, 49) (dual of [(63, 5), 217, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,265P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
  3. linear OOA(3¹⁰, 4, F₃, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;10,3) [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.