MinT - Information on Result #796813

Information on Result #796813

Digital (17, 28, 104)-net over F₅, using trace code for nets based on digital (3, 14, 52)-net over F₂₅, using

net from sequence [i] based on digital (3, 51)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 3 and N(F) ≥ 52, using
  - a function field by GarcÃa and Quoos [i]

Mode: Constructive and 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 (17, 27, 104)-net over F₅	[i]		m-Reduction
2	Digital (25, 36, 137)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
3	Digital (26, 37, 150)-net over F₅	[i]
4	Digital (27, 38, 172)-net over F₅	[i]
5	Digital (68, 90, 312)-net over F₅	[i]
6	Digital (70, 92, 356)-net over F₅	[i]
7	Digital (69, 92, 312)-net over F₅	[i]
8	Digital (71, 94, 356)-net over F₅	[i]
9	Linear OOA(5²⁸, 104, F₅, 2, 11) (dual of [(104, 2), 180, 12]-NRT-code)	[i]		Extracting Embedded OOA
10	Linear OOA(5²⁸, 104, F₅, 3, 11) (dual of [(104, 3), 284, 12]-NRT-code)	[i]		Extracting Embedded OOA