MinT - Information on Result #1233925

Information on Result #1233925

Digital (38, 63, 262)-net over F₃₂, using generalized (u,Â u+v)-construction based on

digital (4, 12, 66)-net over F₃₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 4, 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]
  2. digital (0, 8, 33)-net over F₃₂, using
    - net from sequence [i] based on digital (0, 32)-sequence over F₃₂ (see above)
digital (7, 19, 98)-net over F₃₂, using
- net from sequence [i] based on digital (7, 97)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 7 and N(F) ≥ 98, using
    - a function field by SÃ©mirat [i]
digital (7, 32, 98)-net over F₃₂, using
- net from sequence [i] based on digital (7, 97)-sequence over F₃₂ (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (38, 62, 262)-net over F₃₂	[i]		m-Reduction