MinT - Information on Result #1218776

Information on Result #1218776

Digital (16, 27, 531)-net over F₁₆, using (u,Â u+v)-construction based on

digital (0, 5, 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 (11, 22, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 11, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
      - the rational function field F₂₅₆(x) [i]
    - Niederreiter sequence [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 (26, 37, 1045)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (55, 77, 1040)-net over F₁₆	[i]
3	Digital (57, 79, 1044)-net over F₁₆	[i]
4	Digital (56, 79, 1040)-net over F₁₆	[i]
5	Digital (58, 81, 1044)-net over F₁₆	[i]
6	Digital (60, 83, 1048)-net over F₁₆	[i]
7	Digital (61, 84, 1062)-net over F₁₆	[i]
8	(25, 36, 531)-net in base 8	[i]		Base Change