MinT - Information on Result #785999

Information on Result #785999

Digital (0, 5, 82)-net over F₈₁, using net from sequence based on digital (0, 81)-sequence over F₈₁, using

generalized Faure sequence [i]
Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F₈₁(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 (15, 20, 328)-net over F₃	[i]	Trace Code for Nets
2	Digital (5, 10, 164)-net over F₉	[i]	Trace Code for Nets
3	Digital (4, 9, 82)-net over F₉	[i]	Base Reduction for Projective Spaces (for Nets)
4	Digital (5, 15, 164)-net over F₈₁	[i]	(u,Â u+v)-Construction for Nets
5	Digital (6, 16, 182)-net over F₈₁	[i]
6	Digital (14, 24, 1394)-net over F₈₁	[i]
7	Digital (23, 33, 106370)-net over F₈₁	[i]
8	Digital (32, 42, 1677802)-net over F₈₁	[i]
9	Digital (55, 65, 4194383)-net over F₈₁	[i]
10	Digital (5, 16, 164)-net over F₈₁	[i]
11	Digital (6, 17, 182)-net over F₈₁	[i]
12	Digital (15, 26, 1394)-net over F₈₁	[i]
13	Digital (25, 36, 106370)-net over F₈₁	[i]
14	Digital (35, 46, 1677802)-net over F₈₁	[i]
15	Digital (58, 69, 4194383)-net over F₈₁	[i]
16	Digital (18, 29, 6642)-net over F₈₁	[i]	Generalized (u,Â u+v)-Construction for Nets
17	Digital (19, 30, 6660)-net over F₈₁	[i]
18	Digital (17, 27, 6642)-net over F₈₁	[i]
19	Digital (42, 65, 984)-net over F₈₁	[i]
20	Digital (53, 82, 902)-net over F₈₁	[i]
21	Digital (50, 77, 902)-net over F₈₁	[i]
22	Digital (48, 74, 902)-net over F₈₁	[i]
23	Digital (49, 75, 920)-net over F₈₁	[i]
24	Digital (41, 64, 902)-net over F₈₁	[i]
25	Digital (48, 75, 820)-net over F₈₁	[i]
26	Digital (49, 76, 838)-net over F₈₁	[i]
27	Digital (46, 72, 820)-net over F₈₁	[i]
28	Digital (47, 73, 838)-net over F₈₁	[i]
29	Digital (45, 70, 820)-net over F₈₁	[i]
30	Digital (46, 71, 838)-net over F₈₁	[i]
31	Digital (39, 62, 820)-net over F₈₁	[i]
32	Digital (40, 63, 838)-net over F₈₁	[i]
33	Digital (47, 74, 756)-net over F₈₁	[i]
34	Digital (45, 71, 756)-net over F₈₁	[i]
35	Digital (44, 69, 756)-net over F₈₁	[i]
36	Digital (15, 32, 282)-net over F₈₁	[i]
37	Digital (8, 19, 246)-net over F₈₁	[i]
38	Digital (9, 20, 264)-net over F₈₁	[i]