MinT - Information on Result #1801412

Information on Result #1801412

Digital (31, 54, 644)-net over F₁₆, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(16⁵⁴, 644, F₁₆, 2, 23) (dual of [(644, 2), 1234, 24]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(16⁵⁰, 642, F₁₆, 2, 23) (dual of [(642, 2), 1234, 24]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 50, 642)-net over F₁₆, using
  - trace code for nets [i] based on digital (2, 25, 321)-net over F₂₅₆, using
    - net from sequence [i] based on digital (2, 320)-sequence over F₂₅₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
        sharp bound on the number of rational points on curves with genus 2 [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.