MinT - Information on Result #3178244

Information on Result #3178244

Digital (53, 81, 715)-net over F₆₄, using 1 times m-reduction based on digital (53, 82, 715)-net over F₆₄, using

generalized (u,Â u+v)-construction [i] based on
1. digital (0, 2, 65)-net over F₆₄, using
  - kÂ =Â 2 construction [i]
2. digital (0, 2, 65)-net over F₆₄ (see above)
3. digital (0, 3, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
      - the rational function field F₆₄(x) [i]
    - Niederreiter sequence [i]
4. digital (0, 3, 65)-net over F₆₄ (see above)
5. digital (0, 4, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
6. digital (0, 4, 65)-net over F₆₄ (see above)
7. digital (0, 5, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
8. digital (0, 7, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
9. digital (0, 9, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
10. digital (0, 14, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
11. digital (0, 29, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)

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

None.