MinT - Information on Result #1209159

Information on Result #1209159

Digital (58, 118, 52)-net over F₃, using (u,Â u+v)-construction based on

digital (13, 43, 24)-net over F₃, using
- net from sequence [i] based on digital (13, 23)-sequence over F₃, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
digital (15, 75, 28)-net over F₃, using
- net from sequence [i] based on digital (15, 27)-sequence over F₃, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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 (58, 117, 52)-net over F₃	[i]		m-Reduction
2	Digital (58, 116, 52)-net over F₃	[i]		m-Reduction