MinT - Information on Result #1209414

Information on Result #1209414

Digital (164, 245, 167)-net over F₃, using (u,Â u+v)-construction based on

digital (9, 49, 19)-net over F₃, using
- net from sequence [i] based on digital (9, 18)-sequence over F₃, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
digital (115, 196, 148)-net over F₃, using
- trace code for nets [i] based on digital (17, 98, 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 (165, 246, 167)-net over F₃	[i]		Net Duplication
2	Digital (164, 244, 167)-net over F₃	[i]		m-Reduction