MinT - Information on Result #3186224

Information on Result #3186224

Digital (181, 191, large)-net over F₂, using t-expansion based on digital (180, 191, 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, 145, 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, 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 (182, 192, large)-net over F₂	[i]		Net Duplication
2	Digital (183, 193, large)-net over F₂	[i]
3	Digital (184, 194, large)-net over F₂	[i]
4	Digital (185, 195, large)-net over F₂	[i]
5	Digital (186, 196, large)-net over F₂	[i]
6	Digital (187, 197, large)-net over F₂	[i]
7	Digital (188, 198, large)-net over F₂	[i]
8	Digital (189, 199, large)-net over F₂	[i]
9	Digital (190, 200, large)-net over F₂	[i]
10	Digital (191, 201, large)-net over F₂	[i]
11	Digital (192, 202, large)-net over F₂	[i]
12	Digital (193, 203, large)-net over F₂	[i]
13	Digital (194, 204, large)-net over F₂	[i]
14	Digital (195, 205, large)-net over F₂	[i]
15	Digital (196, 206, large)-net over F₂	[i]
16	Digital (197, 207, large)-net over F₂	[i]
17	Digital (198, 208, large)-net over F₂	[i]
18	Digital (199, 209, large)-net over F₂	[i]
19	Digital (200, 210, large)-net over F₂	[i]
20	Digital (201, 211, large)-net over F₂	[i]
21	Digital (202, 212, large)-net over F₂	[i]
22	Digital (203, 213, large)-net over F₂	[i]
23	Digital (204, 214, large)-net over F₂	[i]
24	Digital (205, 215, large)-net over F₂	[i]
25	Digital (206, 216, large)-net over F₂	[i]
26	Digital (207, 217, large)-net over F₂	[i]
27	Digital (208, 218, large)-net over F₂	[i]
28	Digital (209, 219, large)-net over F₂	[i]
29	Digital (210, 220, large)-net over F₂	[i]
30	Digital (211, 221, large)-net over F₂	[i]