MinT - Information on Result #799230

Information on Result #799230

Digital (10, 20, 514)-net over F₁₆, using trace code for nets based on digital (0, 10, 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 (10, 19, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (29, 39, 514)-net over F₄	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (15, 25, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (16, 26, 538)-net over F₁₆	[i]
5	Digital (17, 27, 634)-net over F₁₆	[i]
6	Digital (20, 30, 1028)-net over F₁₆	[i]
7	Digital (40, 60, 1028)-net over F₁₆	[i]
8	Digital (42, 62, 1030)-net over F₁₆	[i]
9	Digital (50, 70, 1045)-net over F₁₆	[i]
10	Digital (51, 71, 1052)-net over F₁₆	[i]
11	Digital (52, 72, 1061)-net over F₁₆	[i]
12	Digital (41, 62, 1028)-net over F₁₆	[i]
13	Digital (43, 64, 1030)-net over F₁₆	[i]
14	Digital (51, 72, 1045)-net over F₁₆	[i]
15	Digital (52, 73, 1052)-net over F₁₆	[i]
16	Digital (53, 74, 1061)-net over F₁₆	[i]
17	Digital (54, 75, 1066)-net over F₁₆	[i]
18	Digital (55, 76, 1073)-net over F₁₆	[i]
19	(19, 29, 1010)-net in base 16	[i]
20	Digital (53, 74, 1062)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
21	Digital (54, 75, 1069)-net over F₁₆	[i]
22	Digital (55, 76, 1076)-net over F₁₆	[i]
23	Digital (55, 76, 1078)-net over F₁₆	[i]
24	Digital (51, 71, 1062)-net over F₁₆	[i]
25	Digital (52, 72, 1069)-net over F₁₆	[i]
26	Digital (25, 35, 1062)-net over F₁₆	[i]
27	Digital (84, 116, 1542)-net over F₁₆	[i]
28	Digital (86, 118, 1544)-net over F₁₆	[i]
29	Digital (81, 112, 1542)-net over F₁₆	[i]
30	Digital (83, 114, 1544)-net over F₁₆	[i]
31	Digital (85, 116, 1546)-net over F₁₆	[i]
32	Digital (80, 110, 1542)-net over F₁₆	[i]
33	Digital (82, 112, 1544)-net over F₁₆	[i]
34	Digital (48, 69, 1045)-net over F₁₆	[i]
35	Digital (49, 70, 1052)-net over F₁₆	[i]
36	Digital (50, 71, 1061)-net over F₁₆	[i]
37	Digital (51, 72, 1066)-net over F₁₆	[i]
38	Digital (52, 73, 1073)-net over F₁₆	[i]
39	Digital (53, 74, 1078)-net over F₁₆	[i]
40	Digital (54, 75, 1285)-net over F₁₆	[i]
41	Digital (55, 76, 1542)-net over F₁₆	[i]
42	Digital (46, 66, 1045)-net over F₁₆	[i]
43	Digital (47, 67, 1052)-net over F₁₆	[i]
44	Digital (48, 68, 1061)-net over F₁₆	[i]
45	Digital (49, 69, 1066)-net over F₁₆	[i]
46	Digital (50, 70, 1073)-net over F₁₆	[i]
47	Digital (51, 71, 1285)-net over F₁₆	[i]
48	Digital (52, 72, 1542)-net over F₁₆	[i]
49	Digital (23, 33, 1045)-net over F₁₆	[i]
50	Digital (24, 34, 1285)-net over F₁₆	[i]
51	Digital (25, 35, 1542)-net over F₁₆	[i]
52	Digital (53, 74, 1079)-net over F₁₆	[i]
53	Linear OOA(16²⁰, 514, F₁₆, 2, 10) (dual of [(514, 2), 1008, 11]-NRT-code)	[i]	Extracting Embedded OOA