MinT - Information on Result #1825238

Information on Result #1825238

(55, 88, 470)-net in base 27, using base change based on digital (33, 66, 470)-net over F₈₁, using

(u,Â u+v)-construction [i] based on
1. digital (1, 17, 100)-net over F₈₁, using
  - net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
      - a function field by SÃ©mirat [i]
2. digital (16, 49, 370)-net over F₈₁, using
  - net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
      - a function field by GarcÃa and Quoos [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	(56, 89, 470)-net in base 27	[i]		Net Duplication
2	(55, 87, 470)-net in base 27	[i]		m-Reduction