MinT - Information on Result #1842561

Information on Result #1842561

(83, 112, 772)-net in base 8, using (u,Â u+v)-construction based on

(20, 34, 258)-net in base 8, using
- trace code for nets [i] based on (3, 17, 129)-net in base 64, using
  - 4 times m-reduction [i] based on (3, 21, 129)-net in base 64, using
    - base change [i] based on digital (0, 18, 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]
(49, 78, 514)-net in base 8, using
- trace code for nets [i] based on (10, 39, 257)-net in base 64, using
  - 1 times m-reduction [i] based on (10, 40, 257)-net in base 64, using
    - base change [i] based on digital (0, 30, 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	(84, 113, 772)-net in base 8	[i]		Net Duplication
2	(83, 111, 772)-net in base 8	[i]		m-Reduction