MinT - Information on Result #1234079

Information on Result #1234079

Digital (11, 16, 120050)-net over F₄₉, using generalized (u,Â u+v)-construction based on

digital (0, 0, 2450)-net over F₄₉, using
- s-reduction based on digital (0, 0, s)-net over F₄₉ for arbitrarily large s, using
  - arbitrary set of 49⁰ points [i]
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 0, 2450)-net over F₄₉ (see above)
digital (0, 1, 2450)-net over F₄₉, using
- s-reduction based on digital (0, 1, s)-net over F₄₉ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (0, 1, 2450)-net over F₄₉ (see above)
digital (0, 1, 2450)-net over F₄₉ (see above)
digital (1, 3, 2450)-net over F₄₉, using
- s-reduction based on digital (1, 3, 2451)-net over F₄₉, using
  - kÂ =Â 2 construction [i]
digital (5, 10, 2450)-net over F₄₉, using
- generalized (u,Â u+v)-construction [i] based on
  1. digital (0, 0, 50)-net over F₄₉, using
    - s-reduction based on digital (0, 0, s)-net over F₄₉ for arbitrarily large s (see above)
  2. digital (0, 0, 50)-net over F₄₉ (see above)
  3. digital (0, 0, 50)-net over F₄₉ (see above)
  4. digital (0, 0, 50)-net over F₄₉ (see above)
  5. digital (0, 0, 50)-net over F₄₉ (see above)
  6. digital (0, 0, 50)-net over F₄₉ (see above)
  7. digital (0, 0, 50)-net over F₄₉ (see above)
  8. digital (0, 0, 50)-net over F₄₉ (see above)
  9. digital (0, 0, 50)-net over F₄₉ (see above)
  10. digital (0, 0, 50)-net over F₄₉ (see above)
  11. digital (0, 0, 50)-net over F₄₉ (see above)
  12. digital (0, 0, 50)-net over F₄₉ (see above)
  13. digital (0, 0, 50)-net over F₄₉ (see above)
  14. digital (0, 0, 50)-net over F₄₉ (see above)
  15. digital (0, 0, 50)-net over F₄₉ (see above)
  16. digital (0, 0, 50)-net over F₄₉ (see above)
  17. digital (0, 0, 50)-net over F₄₉ (see above)
  18. digital (0, 0, 50)-net over F₄₉ (see above)
  19. digital (0, 0, 50)-net over F₄₉ (see above)
  20. digital (0, 0, 50)-net over F₄₉ (see above)
  21. digital (0, 0, 50)-net over F₄₉ (see above)
  22. digital (0, 0, 50)-net over F₄₉ (see above)
  23. digital (0, 0, 50)-net over F₄₉ (see above)
  24. digital (0, 0, 50)-net over F₄₉ (see above)
  25. digital (0, 0, 50)-net over F₄₉ (see above)
  26. digital (0, 0, 50)-net over F₄₉ (see above)
  27. digital (0, 0, 50)-net over F₄₉ (see above)
  28. digital (0, 0, 50)-net over F₄₉ (see above)
  29. digital (0, 0, 50)-net over F₄₉ (see above)
  30. digital (0, 0, 50)-net over F₄₉ (see above)
  31. digital (0, 0, 50)-net over F₄₉ (see above)
  32. digital (0, 0, 50)-net over F₄₉ (see above)
  33. digital (0, 0, 50)-net over F₄₉ (see above)
  34. digital (0, 0, 50)-net over F₄₉ (see above)
  35. digital (0, 0, 50)-net over F₄₉ (see above)
  36. digital (0, 0, 50)-net over F₄₉ (see above)
  37. digital (0, 0, 50)-net over F₄₉ (see above)
  38. digital (0, 0, 50)-net over F₄₉ (see above)
  39. digital (0, 0, 50)-net over F₄₉ (see above)
  40. digital (0, 0, 50)-net over F₄₉ (see above)
  41. digital (0, 0, 50)-net over F₄₉ (see above)
  42. digital (0, 0, 50)-net over F₄₉ (see above)
  43. digital (0, 0, 50)-net over F₄₉ (see above)
  44. digital (0, 0, 50)-net over F₄₉ (see above)
  45. digital (0, 1, 50)-net over F₄₉, using
    - s-reduction based on digital (0, 1, s)-net over F₄₉ for arbitrarily large s (see above)
  46. digital (0, 1, 50)-net over F₄₉ (see above)
  47. digital (0, 1, 50)-net over F₄₉ (see above)
  48. digital (0, 2, 50)-net over F₄₉, using
    - kÂ =Â 2 construction [i]
  49. digital (0, 5, 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

None.