MinT - Information on Result #3167330

Information on Result #3167330

Digital (145, 258, 137)-net over F₄, using 1 times m-reduction based on digital (145, 259, 137)-net over F₄, using

(u,Â u+v)-construction [i] based on
1. digital (15, 72, 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 (73, 187, 104)-net over F₄, using
  - net from sequence [i] based on digital (73, 103)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 104, using
      - F₆ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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 (146, 258, 137)-net over F₄	[i]		t-Expansion
2	Digital (147, 258, 137)-net over F₄	[i]
3	Digital (148, 258, 137)-net over F₄	[i]