MinT - Information on Result #3178422

Information on Result #3178422

Digital (10, 22, 387)-net over F₁₂₈, using 1 times m-reduction based on digital (10, 23, 387)-net over F₁₂₈, using

generalized (u,Â u+v)-construction [i] based on
1. digital (0, 4, 129)-net over F₁₂₈, using
  - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
      - the rational function field F₁₂₈(x) [i]
    - Niederreiter sequence [i]
2. digital (0, 6, 129)-net over F₁₂₈, using
  - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈ (see above)
3. digital (0, 13, 129)-net over F₁₂₈, using
  - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈ (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 (46, 71, 1752)-net over F₁₂₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (45, 69, 1752)-net over F₁₂₈	[i]		(u,Â u+v)-Construction for Nets