MinT - Information on Result #1842544

Information on Result #1842544

(79, 106, 814)-net in base 8, using (u,Â u+v)-construction based on

(21, 34, 300)-net in base 8, using
- trace code for nets [i] based on (4, 17, 150)-net in base 64, using
  - 4 times m-reduction [i] based on (4, 21, 150)-net in base 64, using
    - base change [i] based on digital (1, 18, 150)-net over F₁₂₈, using
      - net from sequence [i] based on digital (1, 149)-sequence over F₁₂₈, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150, using
        a function field by SÃ©mirat [i]
(45, 72, 514)-net in base 8, using
- base change [i] based on digital (27, 54, 514)-net over F₁₆, using
  - trace code for nets [i] based on digital (0, 27, 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	(80, 107, 814)-net in base 8	[i]		Net Duplication