MinT - Information on Result #1218660

Information on Result #1218660

Digital (7, 12, 531)-net over F₁₆, using (u,Â u+v)-construction based on

digital (0, 2, 17)-net over F₁₆, using
- kÂ =Â 2 construction [i]
digital (5, 10, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 5, 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 (24, 34, 1032)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (58, 68, 3355971)-net over F₁₆	[i]
3	Digital (25, 36, 1032)-net over F₁₆	[i]
4	Digital (63, 74, 3355971)-net over F₁₆	[i]