MinT - Information on Result #1231271

Information on Result #1231271

Digital (13, 21, 766)-net over F₂₇, using generalized (u,Â u+v)-construction based on

digital (0, 0, 28)-net over F₂₇, using
- s-reduction based on digital (0, 0, s)-net over F₂₇ for arbitrarily large s, using
  - arbitrary set of 27⁰ points [i]
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 0, 28)-net over F₂₇ (see above)
digital (0, 1, 28)-net over F₂₇, using
- s-reduction based on digital (0, 1, s)-net over F₂₇ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (0, 1, 28)-net over F₂₇ (see above)
digital (0, 1, 28)-net over F₂₇ (see above)
digital (0, 1, 28)-net over F₂₇ (see above)
digital (0, 2, 28)-net over F₂₇, using
- kÂ =Â 2 construction [i]
digital (0, 2, 28)-net over F₂₇ (see above)
digital (0, 4, 28)-net over F₂₇, using
- net from sequence [i] based on digital (0, 27)-sequence over F₂₇, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 0 and N(F) ≥ 28, using
    - the rational function field F₂₇(x) [i]
  - Niederreiter sequence [i]
digital (1, 9, 38)-net over F₂₇, using
- net from sequence [i] based on digital (1, 37)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, 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	Digital (85, 102, 1049341)-net over F₂₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (81, 97, 1049341)-net over F₂₇	[i]		(u,Â u+v)-Construction for Nets