MinT - Information on Result #1842317

Information on Result #1842317

(16, 23, 523)-net in base 8, using (u,Â u+v)-construction based on

digital (0, 3, 9)-net over F₈, using
- net from sequence [i] based on digital (0, 8)-sequence over F₈, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 0 and N(F) ≥ 9, using
    - the rational function field F₈(x) [i]
  - Niederreiter sequence [i]
(13, 20, 514)-net in base 8, using
- base change [i] based on digital (8, 15, 514)-net over F₁₆, using
  - 1 times m-reduction [i] based on digital (8, 16, 514)-net over F₁₆, using
    - trace code for nets [i] based on digital (0, 8, 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.

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	(115, 129, 2397265)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
2	(122, 137, 2397265)-net in base 8	[i]		(u,Â u+v)-Construction for Nets