MinT - Information on Result #1215759

Information on Result #1215759

Digital (59, 82, 484)-net over F₈, using (u,Â u+v)-construction based on

digital (11, 22, 130)-net over F₈, using
- trace code for nets [i] based on digital (0, 11, 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 (37, 60, 354)-net over F₈, using
- trace code for nets [i] based on digital (7, 30, 177)-net over F₆₄, using
  - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
      - a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (60, 83, 484)-net over F₈	[i]		Net Duplication
2	Digital (59, 81, 484)-net over F₈	[i]		m-Reduction