MinT - Information on Result #1842524

Information on Result #1842524

(71, 96, 772)-net in base 8, using (u,Â u+v)-construction based on

(16, 28, 258)-net in base 8, using
- trace code for nets [i] based on (2, 14, 129)-net in base 64, using
  - base change [i] based on digital (0, 12, 129)-net over F₁₂₈, using
    - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
        the rational function field F₁₂₈(x) [i]
      - Niederreiter sequence [i]
(43, 68, 514)-net in base 8, using
- base change [i] based on digital (26, 51, 514)-net over F₁₆, using
  - 1 times m-reduction [i] based on digital (26, 52, 514)-net over F₁₆, using
    - trace code for nets [i] based on digital (0, 26, 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	(72, 97, 772)-net in base 8	[i]		Net Duplication
2	(71, 95, 772)-net in base 8	[i]		m-Reduction