MinT - Information on Result #1790657

Information on Result #1790657

Digital (39, 85, 99)-net over F₇, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(7⁸⁵, 99, F₇, 3, 46) (dual of [(99, 3), 212, 47]-NRT-code), using

constructionÂ X applied to AG(3;F,238P) âŠ‚ AG(3;F,245P) [i] based on
1. linear OOA(7⁷⁹, 95, F₇, 3, 46) (dual of [(95, 3), 206, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,238P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96, using
  - an algebraic function field by Teo [i]
2. linear OOA(7⁷², 95, F₇, 3, 39) (dual of [(95, 3), 213, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,245P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96 (see above)
3. linear OOA(7⁶, 4, F₇, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(7⁶, 7, F₇, 3, 6) (dual of [(7, 3), 15, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;15,7) [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.