MinT - Information on Result #1214860

Information on Result #1214860

Digital (41, 64, 126)-net over F₇, using (u,Â u+v)-construction based on

digital (7, 18, 26)-net over F₇, using
- (u,Â u+v)-construction [i] based on
  1. digital (1, 6, 13)-net over F₇, using
    - 7 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
      - a shift-net [i]
  2. digital (1, 12, 13)-net over F₇, using
    - 1 times m-reduction [i] based on digital (1, 13, 13)-net over F₇ (see above)
digital (23, 46, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 23, 50)-net over F₄₉, using
  - net from sequence [i] based on digital (0, 49)-sequence over F₄₉, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
      - the rational function field F₄₉(x) [i]
    - Niederreiter sequence [i]

Mode: Constructive and linear.

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	Digital (42, 65, 126)-net over F₇	[i]		Net Duplication
2	Digital (41, 63, 126)-net over F₇	[i]		m-Reduction