MinT - Information on Result #1234226

Information on Result #1234226

Digital (32, 51, 650)-net over F₆₄, using generalized (u,Â u+v)-construction based on

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]
digital (0, 2, 65)-net over F₆₄, using
- kÂ =Â 2 construction [i]
digital (0, 2, 65)-net over F₆₄ (see above)
digital (0, 2, 65)-net over F₆₄ (see above)
digital (0, 3, 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]
digital (0, 3, 65)-net over F₆₄ (see above)
digital (0, 4, 65)-net over F₆₄, using
- net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
digital (0, 6, 65)-net over F₆₄, using
- net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
digital (0, 9, 65)-net over F₆₄, using
- net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)
digital (0, 19, 65)-net over F₆₄, using
- net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (32, 50, 650)-net over F₆₄	[i]		m-Reduction