MinT - Information on Result #3176104

Information on Result #3176104

Digital (45, 69, 581)-net over F₁₆, using 1 times m-reduction based on digital (45, 70, 581)-net over F₁₆, using

(u,Â u+v)-construction [i] based on
1. digital (6, 18, 65)-net over F₁₆, using
  - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [i]
2. digital (27, 52, 516)-net over F₁₆, using
  - trace code for nets [i] based on digital (1, 26, 258)-net over F₂₅₆, using
    - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
      - Niederreiter sequence [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	(68, 92, 581)-net in base 8	[i]		Base Change