MinT - Information on Result #1234472

Information on Result #1234472

Digital (9, 16, 6642)-net over F₈₁, using generalized (u,Â u+v)-construction based on

digital (0, 0, 82)-net over F₈₁, using
- s-reduction based on digital (0, 0, s)-net over F₈₁ for arbitrarily large s, using
  - arbitrary set of 81⁰ points [i]
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 0, 82)-net over F₈₁ (see above)
digital (0, 1, 82)-net over F₈₁, using
- s-reduction based on digital (0, 1, s)-net over F₈₁ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (0, 1, 82)-net over F₈₁ (see above)
digital (0, 1, 82)-net over F₈₁ (see above)
digital (0, 1, 82)-net over F₈₁ (see above)
digital (0, 2, 82)-net over F₈₁, using
- kÂ =Â 2 construction [i]
digital (0, 3, 82)-net over F₈₁, using
- net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
    - the rational function field F₈₁(x) [i]
  - Niederreiter sequence [i]
digital (0, 7, 82)-net over F₈₁, using
- net from sequence [i] based on digital (0, 81)-sequence over F₈₁ (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

The following results depend on this result:

	Result		This result only	Method
1	Digital (58, 73, 1205013)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets
2	Digital (55, 69, 1205013)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets