MinT - Information on Result #3158401

Information on Result #3158401

Digital (180, 186, large)-net over F₂, using 4 times m-reduction based on digital (180, 190, large)-net over F₂, using

(u,Â u+v)-construction [i] based on
1. digital (41, 46, 4194305)-net over F₂, using
  - nets constructed from net-embeddable BCH codes [i]
2. digital (134, 144, 4194304)-net over F₂, using
  - (u,Â u+v)-construction [i] based on
    1. digital (0, 5, 3)-net over F₂, using
      - net from sequence [i] based on digital (0, 2)-sequence over F₂, using
        Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂ with g(F) = 0 and N(F) ≥ 3, using
        the rational function field F₂(x) [i]
        Niederreiter sequence [i]
        Sobol sequence [i]
    2. digital (129, 139, 4194301)-net over F₂, using
      - 1 times m-reduction [i] based on digital (129, 140, 4194301)-net over F₂, using
        net defined by OOA [i] based on linear OOA(2¹⁴⁰, 4194301, F₂, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹⁴⁰, large, F₂, 3, 11), using
        OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (181, 186, large)-net over F₂	[i]		t-Expansion
2	Digital (182, 186, large)-net over F₂	[i]
3	Digital (183, 186, large)-net over F₂	[i]