MinT - Information on Result #784527

Information on Result #784527

Digital (0, 4, 50)-net over F₄₉, using net from sequence based on digital (0, 49)-sequence over F₄₉, using

generalized Faure sequence [i]
Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F₄₉(x) [i]
Niederreiter sequence [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		Method
1	Digital (4, 8, 100)-net over F₇	[i]	Trace Code for Nets
2	Digital (3, 7, 50)-net over F₇	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (4, 12, 100)-net over F₄₉	[i]	(u,Â u+v)-Construction for Nets
4	Digital (5, 13, 101)-net over F₄₉	[i]
5	Digital (11, 19, 650)-net over F₄₉	[i]
6	Digital (18, 26, 29463)-net over F₄₉	[i]
7	Digital (25, 33, 1441251)-net over F₄₉	[i]
8	Digital (32, 40, 2097200)-net over F₄₉	[i]
9	Digital (43, 51, 4194351)-net over F₄₉	[i]
10	Digital (4, 13, 100)-net over F₄₉	[i]
11	Digital (5, 14, 101)-net over F₄₉	[i]
12	Digital (12, 21, 650)-net over F₄₉	[i]
13	Digital (20, 29, 29462)-net over F₄₉	[i]
14	Digital (21, 30, 29464)-net over F₄₉	[i]
15	Digital (28, 37, 1441251)-net over F₄₉	[i]
16	Digital (36, 45, 2097200)-net over F₄₉	[i]
17	Digital (14, 23, 2450)-net over F₄₉	[i]	Generalized (u,Â u+v)-Construction for Nets
18	Digital (15, 24, 2451)-net over F₄₉	[i]
19	Digital (12, 20, 2450)-net over F₄₉	[i]
20	Digital (13, 21, 2451)-net over F₄₉	[i]
21	Digital (34, 53, 600)-net over F₄₉	[i]
22	Digital (30, 47, 600)-net over F₄₉	[i]
23	Digital (33, 52, 550)-net over F₄₉	[i]
24	Digital (29, 46, 550)-net over F₄₉	[i]
25	Digital (24, 38, 550)-net over F₄₉	[i]
26	Digital (22, 35, 550)-net over F₄₉	[i]
27	Digital (32, 51, 500)-net over F₄₉	[i]
28	Digital (28, 45, 500)-net over F₄₉	[i]
29	Digital (23, 37, 500)-net over F₄₉	[i]
30	Digital (34, 54, 450)-net over F₄₉	[i]
31	Digital (35, 55, 451)-net over F₄₉	[i]
32	Digital (31, 50, 450)-net over F₄₉	[i]
33	Digital (27, 44, 450)-net over F₄₉	[i]
34	Digital (22, 36, 450)-net over F₄₉	[i]
35	Digital (34, 55, 400)-net over F₄₉	[i]
36	Digital (32, 52, 400)-net over F₄₉	[i]
37	Digital (33, 53, 401)-net over F₄₉	[i]
38	Digital (29, 48, 400)-net over F₄₉	[i]
39	Digital (30, 49, 401)-net over F₄₉	[i]
40	Digital (26, 43, 400)-net over F₄₉	[i]
41	Digital (21, 35, 400)-net over F₄₉	[i]
42	Digital (30, 50, 350)-net over F₄₉	[i]
43	Digital (27, 46, 350)-net over F₄₉	[i]
44	Digital (28, 47, 351)-net over F₄₉	[i]
45	Digital (11, 25, 150)-net over F₄₉	[i]
46	Digital (12, 26, 151)-net over F₄₉	[i]
47	Digital (10, 23, 150)-net over F₄₉	[i]
48	Digital (11, 24, 151)-net over F₄₉	[i]
49	Digital (7, 16, 150)-net over F₄₉	[i]
50	Digital (6, 14, 150)-net over F₄₉	[i]