MinT - Information on Result #1209444

Information on Result #1209444

Digital (165, 248, 164)-net over F₃, using (u,Â u+v)-construction based on

digital (7, 48, 16)-net over F₃, using
- net from sequence [i] based on digital (7, 15)-sequence over F₃, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
digital (117, 200, 148)-net over F₃, using
- trace code for nets [i] based on digital (17, 100, 74)-net over F₉, using
  - net from sequence [i] based on digital (17, 73)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, 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 (166, 249, 164)-net over F₃	[i]		Net Duplication
2	Digital (165, 247, 164)-net over F₃	[i]		m-Reduction