MinT - Information on Result #1823632

Information on Result #1823632

(57, 76, 1028)-net in base 8, using base change based on digital (38, 57, 1028)-net over F₁₆, using

16¹ times duplication [i] based on digital (37, 56, 1028)-net over F₁₆, using
- (u,Â u+v)-construction [i] based on
  1. digital (9, 18, 514)-net over F₁₆, using
    - trace code for nets [i] based on digital (0, 9, 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 (19, 38, 514)-net over F₁₆, using
    - trace code for nets [i] based on digital (0, 19, 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	(58, 77, 1028)-net in base 8	[i]		Net Duplication
2	(57, 75, 1028)-net in base 8	[i]		m-Reduction