MinT - Information on Result #1220964

Information on Result #1220964

Digital (8, 18, 78)-net over F₂₅, using (u,Â u+v)-construction based on

digital (0, 5, 26)-net over F₂₅, using
- net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
    - the rational function field F₂₅(x) [i]
  - Niederreiter sequence [i]
digital (3, 13, 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 (15, 25, 156)-net over F₂₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (56, 76, 1640)-net over F₂₅	[i]
3	Digital (75, 95, 39140)-net over F₂₅	[i]
4	Digital (58, 79, 1640)-net over F₂₅	[i]
5	Digital (78, 99, 39140)-net over F₂₅	[i]