MinT - Information on Result #1361696

Information on Result #1361696

Digital (57, 110, 642)-net over F₁₆, using trace code for nets based on digital (2, 55, 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 (57, 109, 642)-net over F₁₆	[i]		m-Reduction
2	Digital (57, 108, 642)-net over F₁₆	[i]
3	Digital (57, 107, 642)-net over F₁₆	[i]
4	Digital (57, 106, 642)-net over F₁₆	[i]
5	Linear OOA(16¹¹⁰, 642, F₁₆, 2, 53) (dual of [(642, 2), 1174, 54]-NRT-code)	[i]		Extracting Embedded OOA