MinT - Information on Result #3177268

Information on Result #3177268

Digital (8, 18, 99)-net over F₃₂, using 1 times m-reduction based on digital (8, 19, 99)-net over F₃₂, using

generalized (u,Â u+v)-construction [i] based on
1. digital (0, 3, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 0 and N(F) ≥ 33, using
      - the rational function field F₃₂(x) [i]
    - Niederreiter sequence [i]
2. digital (0, 5, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
3. digital (0, 11, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)

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 (27, 48, 203)-net over F₃₂	[i]		(u,Â u+v)-Construction for Nets
2	Digital (29, 50, 219)-net over F₃₂	[i]
3	Digital (58, 79, 3376)-net over F₃₂	[i]
4	Digital (56, 76, 3376)-net over F₃₂	[i]
5	Digital (75, 95, 104957)-net over F₃₂	[i]
6	Digital (56, 88, 339)-net over F₃₂	[i]		Generalized (u,Â u+v)-Construction for Nets