MinT - Information on Result #1801583

Information on Result #1801583

Digital (36, 64, 644)-net over F₁₆, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(16⁶⁴, 644, F₁₆, 2, 28) (dual of [(644, 2), 1224, 29]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(16⁶⁰, 642, F₁₆, 2, 28) (dual of [(642, 2), 1224, 29]-NRT-code), using
- extracting embedded OOA [i] based on digital (32, 60, 642)-net over F₁₆, using
  - trace code for nets [i] based on digital (2, 30, 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

The following results depend on this result:

	Result		This result only	Method
1	Digital (37, 65, 644)-net over F₁₆	[i]		Net Duplication