MinT - Information on Result #1826331

Information on Result #1826331

(45, 77, 514)-net in base 32, using base change based on (23, 55, 514)-net in base 128, using

1 times m-reduction [i] based on (23, 56, 514)-net in base 128, using
- base change [i] based on digital (16, 49, 514)-net over F₂₅₆, using
  - (u,Â u+v)-construction [i] based on
    1. digital (0, 16, 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 (0, 33, 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	(45, 76, 514)-net in base 32	[i]		m-Reduction
2	(45, 75, 514)-net in base 32	[i]		m-Reduction