MinT - Information on Result #799299

Information on Result #799299

Digital (16, 32, 514)-net over F₁₆, using trace code for nets based on digital (0, 16, 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 (16, 31, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (47, 63, 514)-net over F₄	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (24, 40, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (25, 41, 538)-net over F₁₆	[i]
5	Digital (26, 42, 547)-net over F₁₆	[i]
6	Digital (27, 43, 552)-net over F₁₆	[i]
7	Digital (28, 44, 559)-net over F₁₆	[i]
8	Digital (29, 45, 563)-net over F₁₆	[i]
9	Digital (30, 46, 579)-net over F₁₆	[i]
10	Digital (31, 47, 771)-net over F₁₆	[i]
11	Digital (32, 48, 1028)-net over F₁₆	[i]
12	Digital (64, 96, 1028)-net over F₁₆	[i]
13	Digital (66, 98, 1030)-net over F₁₆	[i]
14	Digital (80, 112, 1045)-net over F₁₆	[i]
15	Digital (81, 113, 1052)-net over F₁₆	[i]
16	Digital (82, 114, 1061)-net over F₁₆	[i]
17	Digital (83, 115, 1066)-net over F₁₆	[i]
18	Digital (84, 116, 1073)-net over F₁₆	[i]
19	Digital (85, 117, 1077)-net over F₁₆	[i]
20	Digital (86, 118, 1093)-net over F₁₆	[i]
21	Digital (65, 98, 1028)-net over F₁₆	[i]
22	Digital (67, 100, 1030)-net over F₁₆	[i]
23	Digital (81, 114, 1045)-net over F₁₆	[i]
24	Digital (82, 115, 1052)-net over F₁₆	[i]
25	Digital (83, 116, 1061)-net over F₁₆	[i]
26	Digital (84, 117, 1066)-net over F₁₆	[i]
27	Digital (85, 118, 1073)-net over F₁₆	[i]
28	Digital (86, 119, 1077)-net over F₁₆	[i]
29	Digital (87, 120, 1093)-net over F₁₆	[i]
30	(28, 44, 579)-net in base 16	[i]
31	(30, 46, 643)-net in base 16	[i]
32	Digital (86, 119, 1078)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
33	Digital (82, 114, 1062)-net over F₁₆	[i]
34	Digital (83, 115, 1069)-net over F₁₆	[i]
35	Digital (84, 116, 1076)-net over F₁₆	[i]
36	Digital (84, 116, 1078)-net over F₁₆	[i]
37	Digital (85, 117, 1085)-net over F₁₆	[i]
38	Digital (86, 118, 1094)-net over F₁₆	[i]
39	Digital (87, 119, 1099)-net over F₁₆	[i]
40	Digital (41, 57, 1062)-net over F₁₆	[i]
41	Digital (42, 58, 1069)-net over F₁₆	[i]
42	Digital (43, 59, 1076)-net over F₁₆	[i]
43	Digital (43, 59, 1165)-net over F₁₆	[i]
44	Digital (76, 109, 1045)-net over F₁₆	[i]
45	Digital (77, 110, 1052)-net over F₁₆	[i]
46	Digital (78, 111, 1061)-net over F₁₆	[i]
47	Digital (79, 112, 1066)-net over F₁₆	[i]
48	Digital (80, 113, 1073)-net over F₁₆	[i]
49	Digital (81, 114, 1077)-net over F₁₆	[i]
50	Digital (82, 115, 1093)-net over F₁₆	[i]
51	Digital (85, 118, 1094)-net over F₁₆	[i]
52	Digital (86, 119, 1285)-net over F₁₆	[i]
53	Digital (87, 120, 1542)-net over F₁₆	[i]
54	Digital (84, 117, 1095)-net over F₁₆	[i]
55	Digital (74, 106, 1045)-net over F₁₆	[i]
56	Digital (75, 107, 1052)-net over F₁₆	[i]
57	Digital (76, 108, 1061)-net over F₁₆	[i]
58	Digital (77, 109, 1066)-net over F₁₆	[i]
59	Digital (78, 110, 1073)-net over F₁₆	[i]
60	Digital (79, 111, 1077)-net over F₁₆	[i]
61	Digital (80, 112, 1093)-net over F₁₆	[i]
62	Digital (83, 115, 1285)-net over F₁₆	[i]
63	Digital (84, 116, 1542)-net over F₁₆	[i]
64	Digital (82, 114, 1095)-net over F₁₆	[i]
65	Digital (86, 118, 1544)-net over F₁₆	[i]
66	Digital (37, 53, 1045)-net over F₁₆	[i]
67	Digital (38, 54, 1052)-net over F₁₆	[i]
68	Digital (39, 55, 1148)-net over F₁₆	[i]
69	Digital (41, 57, 1285)-net over F₁₆	[i]
70	Digital (42, 58, 1542)-net over F₁₆	[i]
71	Linear OOA(16³², 514, F₁₆, 2, 16) (dual of [(514, 2), 996, 17]-NRT-code)	[i]	Extracting Embedded OOA