MinT - Information on Result #796909

Information on Result #796909

Digital (31, 54, 132)-net over F₅, using trace code for nets based on digital (4, 27, 66)-net over F₂₅, using

net from sequence [i] based on digital (4, 65)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, 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 (31, 53, 132)-net over F₅	[i]		m-Reduction
2	Digital (31, 52, 132)-net over F₅	[i]
3	Digital (31, 51, 132)-net over F₅	[i]
4	Digital (31, 50, 132)-net over F₅	[i]
5	Digital (31, 49, 132)-net over F₅	[i]
6	Digital (31, 48, 132)-net over F₅	[i]
7	Digital (31, 47, 132)-net over F₅	[i]
8	Linear OOA(5⁵⁴, 132, F₅, 2, 23) (dual of [(132, 2), 210, 24]-NRT-code)	[i]		Extracting Embedded OOA
9	Linear OOA(5⁵⁴, 132, F₅, 3, 23) (dual of [(132, 3), 342, 24]-NRT-code)	[i]		Extracting Embedded OOA