MinT - Information on Result #785419

Information on Result #785419

Digital (0, 7, 65)-net over F₆₄, using net from sequence based on digital (0, 64)-sequence over F₆₄, using

generalized Faure sequence [i]
Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F₆₄(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 (14, 21, 195)-net over F₄	[i]	Trace Code for Nets
2	Digital (7, 14, 130)-net over F₈	[i]	Trace Code for Nets
3	Digital (6, 13, 65)-net over F₈	[i]	Base Reduction for Projective Spaces (for Nets)
4	Digital (3, 10, 130)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
5	Digital (12, 26, 193)-net over F₆₄	[i]
6	Digital (20, 34, 650)-net over F₆₄	[i]
7	Digital (33, 47, 37514)-net over F₆₄	[i]
8	Digital (46, 60, 1198436)-net over F₆₄	[i]
9	Digital (12, 27, 193)-net over F₆₄	[i]
10	Digital (21, 36, 650)-net over F₆₄	[i]
11	Digital (35, 50, 37514)-net over F₆₄	[i]
12	Digital (49, 64, 1198436)-net over F₆₄	[i]
13	(12, 26, 322)-net in base 64	[i]
14	(12, 27, 322)-net in base 64	[i]
15	Digital (9, 16, 4160)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
16	Digital (42, 65, 780)-net over F₆₄	[i]
17	Digital (53, 82, 715)-net over F₆₄	[i]
18	Digital (54, 83, 730)-net over F₆₄	[i]
19	Digital (41, 64, 715)-net over F₆₄	[i]
20	Digital (39, 62, 650)-net over F₆₄	[i]
21	Digital (40, 63, 665)-net over F₆₄	[i]
22	Digital (38, 59, 650)-net over F₆₄	[i]
23	Digital (37, 60, 585)-net over F₆₄	[i]
24	Digital (38, 61, 600)-net over F₆₄	[i]
25	Digital (36, 57, 585)-net over F₆₄	[i]
26	Digital (37, 58, 600)-net over F₆₄	[i]
27	Digital (35, 58, 520)-net over F₆₄	[i]
28	Digital (36, 59, 535)-net over F₆₄	[i]
29	Digital (34, 55, 520)-net over F₆₄	[i]
30	Digital (12, 27, 195)-net over F₆₄	[i]
31	Digital (13, 28, 210)-net over F₆₄	[i]
32	Digital (11, 25, 195)-net over F₆₄	[i]
33	Digital (12, 26, 210)-net over F₆₄	[i]
34	Digital (5, 12, 195)-net over F₆₄	[i]