MinT - Information on Result #1823674

Information on Result #1823674

(66, 88, 1028)-net in base 8, using base change based on digital (44, 66, 1028)-net over F₁₆, using

(u,Â u+v)-construction [i] based on
1. 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]
2. digital (22, 44, 514)-net over F₁₆, using
  - trace code for nets [i] based on digital (0, 22, 257)-net over F₂₅₆, using
    - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆ (see above)

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	(67, 89, 1028)-net in base 8	[i]		Net Duplication
2	(68, 90, 1028)-net in base 8	[i]		Net Duplication
3	(66, 87, 1028)-net in base 8	[i]		m-Reduction