MinT - Information on Result #798655

Information on Result #798655

Digital (10, 18, 200)-net over F₉, using trace code for nets based on digital (1, 9, 100)-net over F₈₁, using

net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
  - a function field by SÃ©mirat [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 (10, 17, 200)-net over F₉	[i]		m-Reduction
2	Digital (18, 26, 364)-net over F₉	[i]		(u,Â u+v)-Construction for Nets
3	Digital (36, 52, 400)-net over F₉	[i]
4	Digital (38, 54, 432)-net over F₉	[i]
5	Digital (124, 140, 2097350)-net over F₉	[i]
6	Digital (37, 54, 400)-net over F₉	[i]
7	Digital (39, 56, 432)-net over F₉	[i]
8	Digital (43, 60, 500)-net over F₉	[i]
9	Digital (131, 148, 2097350)-net over F₉	[i]
10	Linear OOA(9¹⁸, 200, F₉, 2, 8) (dual of [(200, 2), 382, 9]-NRT-code)	[i]		Extracting Embedded OOA
11	Linear OOA(9¹⁸, 200, F₉, 3, 8) (dual of [(200, 3), 582, 9]-NRT-code)	[i]		Extracting Embedded OOA