MinT - Information on Result #1762656

Information on Result #1762656

Digital (59, 118, 65)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹¹⁸, 65, F₃, 5, 59) (dual of [(65, 5), 207, 60]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹¹⁸, 67, F₃, 5, 59) (dual of [(67, 5), 217, 60]-NRT-code), using
- constructionÂ X applied to AG(5;F,255P) âŠ‚ AG(5;F,266P) [i] based on
  1. linear OOA(3¹⁰⁸, 63, F₃, 5, 59) (dual of [(63, 5), 207, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,255P) [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(3⁹⁷, 63, F₃, 5, 48) (dual of [(63, 5), 218, 49]-NRT-code), using algebraic-geometric NRT-code AG(5;F,266P) [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.