MinT - Information on Result #1206691

Information on Result #1206691

Digital (106, 153, 76)-net over F₂, using (u,Â u+v)-construction based on

digital (6, 29, 10)-net over F₂, using
- net from sequence [i] based on digital (6, 9)-sequence over F₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
- Niederreiterâ€“Xing sequence (PirÅ¡iÄ‡ implementation) with equidistant coordinate [i]
digital (77, 124, 66)-net over F₂, using
- trace code for nets [i] based on digital (15, 62, 33)-net over F₄, using
  - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (107, 154, 76)-net over F₂	[i]		Net Duplication
2	Digital (106, 152, 76)-net over F₂	[i]		m-Reduction