MinT - Information on Result #3167770

Information on Result #3167770

Digital (157, 243, 163)-net over F₄, using 1 times m-reduction based on digital (157, 244, 163)-net over F₄, using

(u,Â u+v)-construction [i] based on
1. digital (15, 58, 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]
2. digital (99, 186, 130)-net over F₄, using
  - trace code for nets [i] based on digital (6, 93, 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]

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 (158, 243, 163)-net over F₄	[i]		t-Expansion