MinT - Information on Result #1823598

Information on Result #1823598

(45, 64, 538)-net in base 8, using base change based on digital (29, 48, 538)-net over F₁₆, using

(u,Â u+v)-construction [i] based on
1. digital (1, 10, 24)-net over F₁₆, using
  - net from sequence [i] based on digital (1, 23)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [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, 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	OOA(8⁶⁴, 538, S₈, 2, 19)	[i]		Extracting Embedded OOA
2	OOA(8⁶⁴, 538, S₈, 3, 19)	[i]		Extracting Embedded OOA