MinT - Information on Result #1218674

Information on Result #1218674

Digital (5, 12, 50)-net over F₁₆, using (u,Â u+v)-construction based on

digital (0, 3, 17)-net over F₁₆, using
- net from sequence [i] based on digital (0, 16)-sequence over F₁₆, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 0 and N(F) ≥ 17, using
    - the rational function field F₁₆(x) [i]
  - Niederreiter sequence [i]
digital (2, 9, 33)-net over F₁₆, using
- net from sequence [i] based on digital (2, 32)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
    - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Digital (64, 78, 149847)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (78, 92, 2396792)-net over F₁₆	[i]
3	Digital (27, 42, 564)-net over F₁₆	[i]
4	Digital (55, 70, 18775)-net over F₁₆	[i]
5	Digital (68, 83, 149847)-net over F₁₆	[i]
6	Digital (83, 98, 2396792)-net over F₁₆	[i]
7	Digital (57, 80, 1078)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
8	Digital (56, 78, 1078)-net over F₁₆	[i]
9	Digital (53, 74, 1078)-net over F₁₆	[i]