MinT - Information on Result #1205860

Information on Result #1205860

Digital (180, 191, large)-net over F₂, using (u,Â u+v)-construction based on

digital (41, 46, 4194305)-net over F₂, using
- nets constructed from net-embeddable BCH codes [i]
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		Method
1	Digital (181, 191, large)-net over F₂	[i]	t-Expansion
2	Digital (182, 191, large)-net over F₂	[i]
3	Digital (183, 191, large)-net over F₂	[i]
4	Digital (184, 191, large)-net over F₂	[i]
5	Digital (185, 191, large)-net over F₂	[i]
6	Digital (186, 191, large)-net over F₂	[i]
7	Digital (187, 191, large)-net over F₂	[i]
8	Digital (188, 191, large)-net over F₂	[i]
9	Digital (181, 192, large)-net over F₂	[i]	Net Duplication
10	Digital (182, 193, large)-net over F₂	[i]
11	Digital (183, 194, large)-net over F₂	[i]
12	Digital (184, 195, large)-net over F₂	[i]
13	Digital (185, 196, large)-net over F₂	[i]
14	Digital (186, 197, large)-net over F₂	[i]
15	Digital (187, 198, large)-net over F₂	[i]
16	Digital (188, 199, large)-net over F₂	[i]
17	Digital (189, 200, large)-net over F₂	[i]
18	Digital (190, 201, large)-net over F₂	[i]
19	Digital (191, 202, large)-net over F₂	[i]
20	Digital (192, 203, large)-net over F₂	[i]
21	Digital (193, 204, large)-net over F₂	[i]
22	Digital (194, 205, large)-net over F₂	[i]
23	Digital (195, 206, large)-net over F₂	[i]
24	Digital (196, 207, large)-net over F₂	[i]
25	Digital (197, 208, large)-net over F₂	[i]
26	Digital (198, 209, large)-net over F₂	[i]
27	Digital (199, 210, large)-net over F₂	[i]
28	Digital (200, 211, large)-net over F₂	[i]
29	Digital (201, 212, large)-net over F₂	[i]
30	Digital (202, 213, large)-net over F₂	[i]
31	Digital (203, 214, large)-net over F₂	[i]
32	Digital (204, 215, large)-net over F₂	[i]
33	Digital (205, 216, large)-net over F₂	[i]
34	Digital (206, 217, large)-net over F₂	[i]
35	Digital (207, 218, large)-net over F₂	[i]
36	Digital (208, 219, large)-net over F₂	[i]
37	Digital (209, 220, large)-net over F₂	[i]
38	Digital (210, 221, large)-net over F₂	[i]
39	Digital (211, 222, large)-net over F₂	[i]
40	Digital (212, 223, large)-net over F₂	[i]
41	Digital (213, 224, large)-net over F₂	[i]
42	Digital (214, 225, large)-net over F₂	[i]
43	Digital (215, 226, large)-net over F₂	[i]
44	Digital (216, 227, large)-net over F₂	[i]
45	Digital (217, 228, large)-net over F₂	[i]
46	Digital (218, 229, large)-net over F₂	[i]
47	Digital (219, 230, large)-net over F₂	[i]
48	Digital (220, 231, large)-net over F₂	[i]
49	Digital (221, 232, large)-net over F₂	[i]
50	Digital (222, 233, large)-net over F₂	[i]
51	Digital (223, 234, large)-net over F₂	[i]
52	Digital (224, 235, large)-net over F₂	[i]
53	Digital (225, 236, large)-net over F₂	[i]
54	Digital (226, 237, large)-net over F₂	[i]
55	Digital (227, 238, large)-net over F₂	[i]
56	Digital (228, 239, large)-net over F₂	[i]
57	Digital (229, 240, large)-net over F₂	[i]
58	Digital (230, 241, large)-net over F₂	[i]
59	Digital (231, 242, large)-net over F₂	[i]
60	Digital (232, 243, large)-net over F₂	[i]
61	Digital (233, 244, large)-net over F₂	[i]
62	Digital (234, 245, large)-net over F₂	[i]