MinT - Information on Result #2540029

Information on Result #2540029

Linear OOA(16⁶⁴, 644, F₁₆, 2, 28) (dual of [(644, 2), 1224, 29]-NRT-code), using 2 times NRT-code embedding in larger space 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(16⁶⁵, 644, F₁₆, 2, 28) (dual of [(644, 2), 1223, 29]-NRT-code)	[i]		OOA Duplication
2	Digital (36, 64, 644)-net over F₁₆	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound