MinT - Information on Result #1234462

Information on Result #1234462

Digital (19, 30, 6660)-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, 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, 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, 2, 82)-net over F₈₁ (see above)
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, 5, 82)-net over F₈₁, using
- net from sequence [i] based on digital (0, 81)-sequence over F₈₁ (see above)
digital (1, 12, 100)-net over F₈₁, using
- net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
    - a function field by SÃ©mirat [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

The following results depend on this result:

	Result		This result only	Method
1	(29, 40, 6660)-net in base 27	[i]		Base Change