MinT - Information on Result #1233082

Information on Result #1233082

Digital (32, 51, 330)-net over F₃₂, using generalized (u,Â u+v)-construction based on

digital (0, 1, 33)-net over F₃₂, using
- s-reduction based on digital (0, 1, s)-net over F₃₂ for arbitrarily large s, using
  - construction for strength kÂ =Â 1 [i]
digital (0, 2, 33)-net over F₃₂, using
- kÂ =Â 2 construction [i]
digital (0, 2, 33)-net over F₃₂ (see above)
digital (0, 2, 33)-net over F₃₂ (see above)
digital (0, 3, 33)-net over F₃₂, using
- net from sequence [i] based on digital (0, 32)-sequence over F₃₂, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 0 and N(F) ≥ 33, using
    - the rational function field F₃₂(x) [i]
  - Niederreiter sequence [i]
digital (0, 3, 33)-net over F₃₂ (see above)
digital (0, 4, 33)-net over F₃₂, using
- net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
digital (0, 6, 33)-net over F₃₂, using
- net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
digital (0, 9, 33)-net over F₃₂, using
- net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
digital (0, 19, 33)-net over F₃₂, using
- net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (32, 50, 330)-net over F₃₂	[i]		m-Reduction