MinT - Information on Result #799239

Information on Result #799239

Digital (11, 22, 514)-net over F₁₆, using trace code for nets based on digital (0, 11, 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 (11, 21, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (32, 43, 514)-net over F₄	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (16, 27, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (17, 28, 538)-net over F₁₆	[i]
5	Digital (18, 29, 634)-net over F₁₆	[i]
6	Digital (21, 32, 1028)-net over F₁₆	[i]
7	Digital (44, 66, 1028)-net over F₁₆	[i]
8	Digital (46, 68, 1030)-net over F₁₆	[i]
9	Digital (55, 77, 1045)-net over F₁₆	[i]
10	Digital (56, 78, 1052)-net over F₁₆	[i]
11	Digital (57, 79, 1061)-net over F₁₆	[i]
12	Digital (58, 80, 1066)-net over F₁₆	[i]
13	Digital (45, 68, 1028)-net over F₁₆	[i]
14	Digital (47, 70, 1030)-net over F₁₆	[i]
15	Digital (56, 79, 1045)-net over F₁₆	[i]
16	Digital (57, 80, 1052)-net over F₁₆	[i]
17	Digital (58, 81, 1061)-net over F₁₆	[i]
18	Digital (59, 82, 1066)-net over F₁₆	[i]
19	Digital (60, 83, 1073)-net over F₁₆	[i]
20	Digital (61, 84, 1077)-net over F₁₆	[i]
21	(20, 31, 1010)-net in base 16	[i]
22	Digital (61, 84, 1079)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
23	Digital (57, 80, 1062)-net over F₁₆	[i]
24	Digital (58, 81, 1069)-net over F₁₆	[i]
25	Digital (59, 82, 1076)-net over F₁₆	[i]
26	Digital (59, 82, 1078)-net over F₁₆	[i]
27	Digital (60, 83, 1085)-net over F₁₆	[i]
28	Digital (61, 84, 1094)-net over F₁₆	[i]
29	Digital (56, 78, 1062)-net over F₁₆	[i]
30	Digital (57, 79, 1069)-net over F₁₆	[i]
31	Digital (58, 80, 1076)-net over F₁₆	[i]
32	Digital (58, 80, 1078)-net over F₁₆	[i]
33	Digital (26, 37, 1062)-net over F₁₆	[i]
34	Digital (28, 39, 1542)-net over F₁₆	[i]
35	Digital (28, 39, 1559)-net over F₁₆	[i]
36	Digital (29, 40, 1815)-net over F₁₆	[i]
37	Digital (91, 126, 1542)-net over F₁₆	[i]
38	Digital (93, 128, 1544)-net over F₁₆	[i]
39	Digital (90, 124, 1542)-net over F₁₆	[i]
40	Digital (87, 120, 1542)-net over F₁₆	[i]
41	Digital (52, 75, 1045)-net over F₁₆	[i]
42	Digital (53, 76, 1052)-net over F₁₆	[i]
43	Digital (54, 77, 1061)-net over F₁₆	[i]
44	Digital (55, 78, 1066)-net over F₁₆	[i]
45	Digital (56, 79, 1073)-net over F₁₆	[i]
46	Digital (57, 80, 1078)-net over F₁₆	[i]
47	Digital (58, 81, 1285)-net over F₁₆	[i]
48	Digital (59, 82, 1542)-net over F₁₆	[i]
49	Digital (61, 84, 1544)-net over F₁₆	[i]
50	Digital (51, 73, 1045)-net over F₁₆	[i]
51	Digital (52, 74, 1052)-net over F₁₆	[i]
52	Digital (53, 75, 1061)-net over F₁₆	[i]
53	Digital (54, 76, 1066)-net over F₁₆	[i]
54	Digital (55, 77, 1073)-net over F₁₆	[i]
55	Digital (56, 78, 1078)-net over F₁₆	[i]
56	Digital (57, 79, 1285)-net over F₁₆	[i]
57	Digital (58, 80, 1542)-net over F₁₆	[i]
58	Digital (24, 35, 1045)-net over F₁₆	[i]
59	Digital (25, 36, 1285)-net over F₁₆	[i]
60	Digital (26, 37, 1542)-net over F₁₆	[i]
61	Digital (57, 80, 1079)-net over F₁₆	[i]
62	Digital (56, 78, 1079)-net over F₁₆	[i]
63	Linear OOA(16²², 514, F₁₆, 2, 11) (dual of [(514, 2), 1006, 12]-NRT-code)	[i]	Extracting Embedded OOA