MinT - Information on Result #1799483

Information on Result #1799483

Digital (57, 121, 184)-net over F₉, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(9¹²¹, 184, F₉, 3, 64) (dual of [(184, 3), 431, 65]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(9¹²¹, 186, F₉, 3, 64) (dual of [(186, 3), 437, 65]-NRT-code), using
- constructionÂ X applied to AG(3;F,478P) âŠ‚ AG(3;F,486P) [i] based on
  1. linear OOA(9¹¹⁴, 181, F₉, 3, 64) (dual of [(181, 3), 429, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,478P) [i] based on function field F/F₉ with g(F) = 50 and N(F) ≥ 182, using
    - a curve from the manYPoints database [i]
  2. linear OOA(9¹⁰⁶, 181, F₉, 3, 56) (dual of [(181, 3), 437, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,486P) [i] based on function field F/F₉ with g(F) = 50 and N(F) ≥ 182 (see above)
  3. linear OOA(9⁷, 5, F₉, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁷, 9, F₉, 3, 7) (dual of [(9, 3), 20, 8]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;20,9) [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.