MinT - Information on Result #3178074

Information on Result #3178074

Digital (8, 18, 195)-net over F₆₄, using 1 times m-reduction based on digital (8, 19, 195)-net over F₆₄, using

generalized (u,Â u+v)-construction [i] based on
1. digital (0, 3, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
      - the rational function field F₆₄(x) [i]
    - Niederreiter sequence [i]
2. digital (0, 5, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
3. digital (0, 11, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (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 (58, 79, 26409)-net over F₆₄	[i]		(u,Â u+v)-Construction for Nets
2	Digital (56, 76, 26409)-net over F₆₄	[i]		(u,Â u+v)-Construction for Nets