MinT - Information on Result #1207745

Information on Result #1207745

Digital (131, 243, 63)-net over F₂, using (u,Â u+v)-construction based on

digital (21, 77, 21)-net over F₂, using
- net from sequence [i] based on digital (21, 20)-sequence over F₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
digital (54, 166, 42)-net over F₂, using
- net from sequence [i] based on digital (54, 41)-sequence over F₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, 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 (131, 242, 63)-net over F₂	[i]		m-Reduction
2	Digital (131, 241, 63)-net over F₂	[i]
3	Digital (131, 240, 63)-net over F₂	[i]
4	Digital (131, 239, 63)-net over F₂	[i]