MinT - Information on Result #784528

Information on Result #784528

Digital (0, 5, 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 (5, 10, 100)-net over F₇	[i]	Trace Code for Nets
2	Digital (4, 9, 50)-net over F₇	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (5, 15, 100)-net over F₄₉	[i]	(u,Â u+v)-Construction for Nets
4	Digital (6, 16, 101)-net over F₄₉	[i]
5	Digital (14, 24, 530)-net over F₄₉	[i]
6	Digital (23, 33, 23580)-net over F₄₉	[i]
7	Digital (32, 42, 1153011)-net over F₄₉	[i]
8	Digital (41, 51, 1677770)-net over F₄₉	[i]
9	Digital (5, 16, 100)-net over F₄₉	[i]
10	Digital (6, 17, 101)-net over F₄₉	[i]
11	Digital (15, 26, 530)-net over F₄₉	[i]
12	Digital (25, 36, 23580)-net over F₄₉	[i]
13	Digital (35, 46, 1153010)-net over F₄₉	[i]
14	Digital (36, 47, 1153012)-net over F₄₉	[i]
15	Digital (18, 29, 2450)-net over F₄₉	[i]	Generalized (u,Â u+v)-Construction for Nets
16	Digital (19, 30, 2451)-net over F₄₉	[i]
17	Digital (17, 27, 2450)-net over F₄₉	[i]
18	Digital (5, 10, 2450)-net over F₄₉	[i]
19	Digital (30, 47, 600)-net over F₄₉	[i]
20	Digital (29, 46, 550)-net over F₄₉	[i]
21	Digital (26, 41, 550)-net over F₄₉	[i]
22	Digital (28, 45, 500)-net over F₄₉	[i]
23	Digital (25, 40, 500)-net over F₄₉	[i]
24	Digital (34, 54, 450)-net over F₄₉	[i]
25	Digital (35, 55, 451)-net over F₄₉	[i]
26	Digital (27, 44, 450)-net over F₄₉	[i]
27	Digital (24, 39, 450)-net over F₄₉	[i]
28	Digital (34, 55, 400)-net over F₄₉	[i]
29	Digital (32, 52, 400)-net over F₄₉	[i]
30	Digital (33, 53, 401)-net over F₄₉	[i]
31	Digital (26, 43, 400)-net over F₄₉	[i]
32	Digital (23, 38, 400)-net over F₄₉	[i]
33	Digital (30, 50, 350)-net over F₄₉	[i]
34	Digital (13, 30, 150)-net over F₄₉	[i]
35	Digital (14, 31, 151)-net over F₄₉	[i]
36	Digital (15, 32, 152)-net over F₄₉	[i]
37	Digital (12, 27, 150)-net over F₄₉	[i]
38	Digital (13, 28, 151)-net over F₄₉	[i]
39	Digital (8, 19, 150)-net over F₄₉	[i]
40	Digital (9, 20, 151)-net over F₄₉	[i]