MinT - Information on Result #1230614

Information on Result #1230614

Digital (14, 23, 650)-net over F₂₅, using generalized (u,Â u+v)-construction based on

digital (0, 0, 26)-net over F₂₅, using
- s-reduction based on digital (0, 0, s)-net over F₂₅ for arbitrarily large s, using
  - arbitrary set of 25⁰ points [i]
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 0, 26)-net over F₂₅ (see above)
digital (0, 1, 26)-net over F₂₅, using
- s-reduction based on digital (0, 1, s)-net over F₂₅ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (0, 1, 26)-net over F₂₅ (see above)
digital (0, 1, 26)-net over F₂₅ (see above)
digital (0, 1, 26)-net over F₂₅ (see above)
digital (0, 1, 26)-net over F₂₅ (see above)
digital (0, 2, 26)-net over F₂₅, using
- kÂ =Â 2 construction [i]
digital (0, 3, 26)-net over F₂₅, using
- net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
    - the rational function field F₂₅(x) [i]
  - Niederreiter sequence [i]
digital (0, 4, 26)-net over F₂₅, using
- net from sequence [i] based on digital (0, 25)-sequence over F₂₅ (see above)
digital (0, 9, 26)-net over F₂₅, using
- net from sequence [i] based on digital (0, 25)-sequence over F₂₅ (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 (91, 109, 932717)-net over F₂₅	[i]		(u,Â u+v)-Construction for Nets