MinT - Information on Result #1792420

Information on Result #1792420

Digital (33, 72, 99)-net over F₈, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8⁷², 99, F₈, 3, 39) (dual of [(99, 3), 225, 40]-NRT-code), using

constructionÂ X applied to AG(3;F,245P) âŠ‚ AG(3;F,252P) [i] based on
1. linear OOA(8⁶⁶, 95, F₈, 3, 39) (dual of [(95, 3), 219, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,245P) [i] based on function field F/F₈ with g(F) = 27 and N(F) ≥ 96, using
  - a curve from the manYPoints database [i]
2. linear OOA(8⁵⁹, 95, F₈, 3, 32) (dual of [(95, 3), 226, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,252P) [i] based on function field F/F₈ with g(F) = 27 and N(F) ≥ 96 (see above)
3. linear OOA(8⁶, 4, F₈, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8⁶, 8, F₈, 3, 6) (dual of [(8, 3), 18, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;18,8) [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.