MinT - Information on Result #1824004

Information on Result #1824004

(17, 25, 1056)-net in base 16, using base change based on digital (12, 20, 1056)-net over F₃₂, using

generalized (u,Â u+v)-construction [i] based on
1. digital (0, 0, 33)-net over F₃₂, using
  - s-reduction based on digital (0, 0, s)-net over F₃₂ for arbitrarily large s, using
    - arbitrary set of 32⁰ points [i]
2. digital (0, 0, 33)-net over F₃₂ (see above)
3. digital (0, 0, 33)-net over F₃₂ (see above)
4. digital (0, 0, 33)-net over F₃₂ (see above)
5. digital (0, 0, 33)-net over F₃₂ (see above)
6. digital (0, 0, 33)-net over F₃₂ (see above)
7. digital (0, 0, 33)-net over F₃₂ (see above)
8. digital (0, 0, 33)-net over F₃₂ (see above)
9. digital (0, 0, 33)-net over F₃₂ (see above)
10. digital (0, 0, 33)-net over F₃₂ (see above)
11. digital (0, 0, 33)-net over F₃₂ (see above)
12. digital (0, 0, 33)-net over F₃₂ (see above)
13. digital (0, 0, 33)-net over F₃₂ (see above)
14. digital (0, 0, 33)-net over F₃₂ (see above)
15. digital (0, 0, 33)-net over F₃₂ (see above)
16. digital (0, 0, 33)-net over F₃₂ (see above)
17. digital (0, 0, 33)-net over F₃₂ (see above)
18. digital (0, 0, 33)-net over F₃₂ (see above)
19. digital (0, 0, 33)-net over F₃₂ (see above)
20. digital (0, 0, 33)-net over F₃₂ (see above)
21. digital (0, 0, 33)-net over F₃₂ (see above)
22. digital (0, 0, 33)-net over F₃₂ (see above)
23. digital (0, 0, 33)-net over F₃₂ (see above)
24. digital (0, 0, 33)-net over F₃₂ (see above)
25. 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]
26. digital (0, 1, 33)-net over F₃₂ (see above)
27. digital (0, 1, 33)-net over F₃₂ (see above)
28. digital (0, 1, 33)-net over F₃₂ (see above)
29. digital (0, 2, 33)-net over F₃₂, using
  - kÂ =Â 2 construction [i]
30. digital (0, 2, 33)-net over F₃₂ (see above)
31. digital (0, 4, 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]
32. digital (0, 8, 33)-net over F₃₂, using
  - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)

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		Method
1	(18, 26, 1056)-net in base 16	[i]	Net Duplication
2	(101, 117, 2098206)-net in base 16	[i]	(u,Â u+v)-Construction for Nets
3	(106, 123, 2098206)-net in base 16	[i]	(u,Â u+v)-Construction for Nets