MinT - Information on Result #3177352

Information on Result #3177352

Digital (28, 44, 330)-net over F₃₂, using 1 times m-reduction based on digital (28, 45, 330)-net over F₃₂, using

generalized (u,Â u+v)-construction [i] based on
1. digital (0, 1, 33)-net over F₃₂, using
  - s-reduction based on digital (0, 1, s)-net over F₃₂ for arbitrarily large s, using
    - construction for strength kÂ =Â 1 [i]
2. digital (0, 1, 33)-net over F₃₂ (see above)
3. digital (0, 2, 33)-net over F₃₂, using
  - kÂ =Â 2 construction [i]
4. digital (0, 2, 33)-net over F₃₂ (see above)
5. digital (0, 2, 33)-net over F₃₂ (see above)
6. digital (0, 3, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 0 and N(F) ≥ 33, using
      - the rational function field F₃₂(x) [i]
    - Niederreiter sequence [i]
7. digital (0, 4, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
8. digital (0, 5, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
9. digital (0, 8, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
10. digital (0, 17, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (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.