MinT - Information on Result #799260

Information on Result #799260

Digital (13, 26, 514)-net over F₁₆, using trace code for nets based on digital (0, 13, 257)-net over F₂₅₆, using

net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
- generalized Faure sequence [i]
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
  - the rational function field F₂₅₆(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 (13, 25, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (38, 51, 514)-net over F₄	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (19, 32, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (20, 33, 538)-net over F₁₆	[i]
5	Digital (21, 34, 547)-net over F₁₆	[i]
6	Digital (22, 35, 552)-net over F₁₆	[i]
7	Digital (23, 36, 559)-net over F₁₆	[i]
8	Digital (24, 37, 771)-net over F₁₆	[i]
9	Digital (25, 38, 1028)-net over F₁₆	[i]
10	Digital (52, 78, 1028)-net over F₁₆	[i]
11	Digital (54, 80, 1030)-net over F₁₆	[i]
12	Digital (65, 91, 1045)-net over F₁₆	[i]
13	Digital (66, 92, 1052)-net over F₁₆	[i]
14	Digital (67, 93, 1061)-net over F₁₆	[i]
15	Digital (68, 94, 1066)-net over F₁₆	[i]
16	Digital (69, 95, 1073)-net over F₁₆	[i]
17	Digital (70, 96, 1077)-net over F₁₆	[i]
18	Digital (53, 80, 1028)-net over F₁₆	[i]
19	Digital (55, 82, 1030)-net over F₁₆	[i]
20	Digital (66, 93, 1045)-net over F₁₆	[i]
21	Digital (67, 94, 1052)-net over F₁₆	[i]
22	Digital (68, 95, 1061)-net over F₁₆	[i]
23	Digital (69, 96, 1066)-net over F₁₆	[i]
24	Digital (70, 97, 1073)-net over F₁₆	[i]
25	Digital (71, 98, 1077)-net over F₁₆	[i]
26	Digital (72, 99, 1093)-net over F₁₆	[i]
27	(22, 35, 579)-net in base 16	[i]
28	Digital (68, 95, 1062)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
29	Digital (69, 96, 1069)-net over F₁₆	[i]
30	Digital (70, 97, 1076)-net over F₁₆	[i]
31	Digital (70, 97, 1078)-net over F₁₆	[i]
32	Digital (71, 98, 1085)-net over F₁₆	[i]
33	Digital (72, 99, 1094)-net over F₁₆	[i]
34	Digital (73, 100, 1099)-net over F₁₆	[i]
35	Digital (66, 92, 1062)-net over F₁₆	[i]
36	Digital (67, 93, 1069)-net over F₁₆	[i]
37	Digital (68, 94, 1076)-net over F₁₆	[i]
38	Digital (68, 94, 1078)-net over F₁₆	[i]
39	Digital (69, 95, 1085)-net over F₁₆	[i]
40	Digital (70, 96, 1094)-net over F₁₆	[i]
41	Digital (32, 45, 1062)-net over F₁₆	[i]
42	Digital (62, 89, 1045)-net over F₁₆	[i]
43	Digital (63, 90, 1052)-net over F₁₆	[i]
44	Digital (64, 91, 1061)-net over F₁₆	[i]
45	Digital (65, 92, 1066)-net over F₁₆	[i]
46	Digital (66, 93, 1073)-net over F₁₆	[i]
47	Digital (67, 94, 1077)-net over F₁₆	[i]
48	Digital (68, 95, 1093)-net over F₁₆	[i]
49	Digital (70, 97, 1285)-net over F₁₆	[i]
50	Digital (71, 98, 1542)-net over F₁₆	[i]
51	Digital (73, 100, 1544)-net over F₁₆	[i]
52	Digital (60, 86, 1045)-net over F₁₆	[i]
53	Digital (61, 87, 1052)-net over F₁₆	[i]
54	Digital (62, 88, 1061)-net over F₁₆	[i]
55	Digital (63, 89, 1066)-net over F₁₆	[i]
56	Digital (64, 90, 1073)-net over F₁₆	[i]
57	Digital (65, 91, 1077)-net over F₁₆	[i]
58	Digital (66, 92, 1093)-net over F₁₆	[i]
59	Digital (67, 93, 1285)-net over F₁₆	[i]
60	Digital (68, 94, 1542)-net over F₁₆	[i]
61	Digital (70, 96, 1544)-net over F₁₆	[i]
62	Digital (29, 42, 1045)-net over F₁₆	[i]
63	Digital (30, 43, 1052)-net over F₁₆	[i]
64	Digital (31, 44, 1148)-net over F₁₆	[i]
65	Digital (32, 45, 1285)-net over F₁₆	[i]
66	Digital (33, 46, 1542)-net over F₁₆	[i]
67	Linear OOA(16²⁶, 514, F₁₆, 2, 13) (dual of [(514, 2), 1002, 14]-NRT-code)	[i]	Extracting Embedded OOA