MinT - Information on Result #1824105

Information on Result #1824105

(7, 12, 4160)-net in base 32, using base change based on digital (5, 10, 4160)-net over F₆₄, using

generalized (u,Â u+v)-construction [i] based on
1. digital (0, 0, 65)-net over F₆₄, using
  - s-reduction based on digital (0, 0, s)-net over F₆₄ for arbitrarily large s, using
    - arbitrary set of 64⁰ points [i]
2. digital (0, 0, 65)-net over F₆₄ (see above)
3. digital (0, 0, 65)-net over F₆₄ (see above)
4. digital (0, 0, 65)-net over F₆₄ (see above)
5. digital (0, 0, 65)-net over F₆₄ (see above)
6. digital (0, 0, 65)-net over F₆₄ (see above)
7. digital (0, 0, 65)-net over F₆₄ (see above)
8. digital (0, 0, 65)-net over F₆₄ (see above)
9. digital (0, 0, 65)-net over F₆₄ (see above)
10. digital (0, 0, 65)-net over F₆₄ (see above)
11. digital (0, 0, 65)-net over F₆₄ (see above)
12. digital (0, 0, 65)-net over F₆₄ (see above)
13. digital (0, 0, 65)-net over F₆₄ (see above)
14. digital (0, 0, 65)-net over F₆₄ (see above)
15. digital (0, 0, 65)-net over F₆₄ (see above)
16. digital (0, 0, 65)-net over F₆₄ (see above)
17. digital (0, 0, 65)-net over F₆₄ (see above)
18. digital (0, 0, 65)-net over F₆₄ (see above)
19. digital (0, 0, 65)-net over F₆₄ (see above)
20. digital (0, 0, 65)-net over F₆₄ (see above)
21. digital (0, 0, 65)-net over F₆₄ (see above)
22. digital (0, 0, 65)-net over F₆₄ (see above)
23. digital (0, 0, 65)-net over F₆₄ (see above)
24. digital (0, 0, 65)-net over F₆₄ (see above)
25. digital (0, 0, 65)-net over F₆₄ (see above)
26. digital (0, 0, 65)-net over F₆₄ (see above)
27. digital (0, 0, 65)-net over F₆₄ (see above)
28. digital (0, 0, 65)-net over F₆₄ (see above)
29. digital (0, 0, 65)-net over F₆₄ (see above)
30. digital (0, 0, 65)-net over F₆₄ (see above)
31. digital (0, 0, 65)-net over F₆₄ (see above)
32. digital (0, 0, 65)-net over F₆₄ (see above)
33. digital (0, 0, 65)-net over F₆₄ (see above)
34. digital (0, 0, 65)-net over F₆₄ (see above)
35. digital (0, 0, 65)-net over F₆₄ (see above)
36. digital (0, 0, 65)-net over F₆₄ (see above)
37. digital (0, 0, 65)-net over F₆₄ (see above)
38. digital (0, 0, 65)-net over F₆₄ (see above)
39. digital (0, 0, 65)-net over F₆₄ (see above)
40. digital (0, 0, 65)-net over F₆₄ (see above)
41. digital (0, 0, 65)-net over F₆₄ (see above)
42. digital (0, 0, 65)-net over F₆₄ (see above)
43. digital (0, 0, 65)-net over F₆₄ (see above)
44. digital (0, 0, 65)-net over F₆₄ (see above)
45. digital (0, 0, 65)-net over F₆₄ (see above)
46. digital (0, 0, 65)-net over F₆₄ (see above)
47. digital (0, 0, 65)-net over F₆₄ (see above)
48. digital (0, 0, 65)-net over F₆₄ (see above)
49. digital (0, 0, 65)-net over F₆₄ (see above)
50. digital (0, 0, 65)-net over F₆₄ (see above)
51. digital (0, 0, 65)-net over F₆₄ (see above)
52. digital (0, 0, 65)-net over F₆₄ (see above)
53. digital (0, 0, 65)-net over F₆₄ (see above)
54. digital (0, 0, 65)-net over F₆₄ (see above)
55. digital (0, 0, 65)-net over F₆₄ (see above)
56. digital (0, 0, 65)-net over F₆₄ (see above)
57. digital (0, 0, 65)-net over F₆₄ (see above)
58. digital (0, 0, 65)-net over F₆₄ (see above)
59. digital (0, 0, 65)-net over F₆₄ (see above)
60. digital (0, 1, 65)-net over F₆₄, using
  - s-reduction based on digital (0, 1, s)-net over F₆₄ for arbitrarily large s, using
    - construction for strength kÂ =Â 1 [i]
61. digital (0, 1, 65)-net over F₆₄ (see above)
62. digital (0, 1, 65)-net over F₆₄ (see above)
63. digital (0, 2, 65)-net over F₆₄, using
  - kÂ =Â 2 construction [i]
64. digital (0, 5, 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]

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

None.