MinT - Information on Result #799209

Information on Result #799209

Digital (7, 14, 514)-net over F₁₆, using trace code for nets based on digital (0, 7, 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 (7, 13, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (20, 27, 514)-net over F₄	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (10, 17, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (11, 18, 771)-net over F₁₆	[i]
5	Digital (28, 42, 1028)-net over F₁₆	[i]
6	Digital (30, 44, 1030)-net over F₁₆	[i]
7	Digital (35, 49, 1045)-net over F₁₆	[i]
8	Digital (36, 50, 1052)-net over F₁₆	[i]
9	Digital (37, 51, 1061)-net over F₁₆	[i]
10	Digital (38, 52, 1066)-net over F₁₆	[i]
11	Digital (80, 94, 2397256)-net over F₁₆	[i]
12	Digital (29, 44, 1028)-net over F₁₆	[i]
13	Digital (31, 46, 1030)-net over F₁₆	[i]
14	Digital (36, 51, 1045)-net over F₁₆	[i]
15	Digital (37, 52, 1052)-net over F₁₆	[i]
16	Digital (38, 53, 1061)-net over F₁₆	[i]
17	Digital (39, 54, 1066)-net over F₁₆	[i]
18	Digital (40, 55, 1073)-net over F₁₆	[i]
19	Digital (85, 100, 2397256)-net over F₁₆	[i]
20	Digital (40, 55, 1079)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
21	Digital (41, 56, 1086)-net over F₁₆	[i]
22	Digital (37, 51, 1079)-net over F₁₆	[i]
23	Digital (38, 52, 1086)-net over F₁₆	[i]
24	Digital (37, 52, 1062)-net over F₁₆	[i]
25	Digital (38, 53, 1069)-net over F₁₆	[i]
26	Digital (39, 54, 1076)-net over F₁₆	[i]
27	Digital (39, 54, 1165)-net over F₁₆	[i]
28	Digital (40, 55, 1268)-net over F₁₆	[i]
29	Digital (41, 56, 1302)-net over F₁₆	[i]
30	Digital (35, 49, 1062)-net over F₁₆	[i]
31	Digital (36, 50, 1069)-net over F₁₆	[i]
32	Digital (37, 51, 1165)-net over F₁₆	[i]
33	Digital (38, 52, 1302)-net over F₁₆	[i]
34	Digital (59, 82, 1542)-net over F₁₆	[i]
35	Digital (61, 84, 1544)-net over F₁₆	[i]
36	Digital (58, 80, 1542)-net over F₁₆	[i]
37	Digital (55, 76, 1542)-net over F₁₆	[i]
38	Digital (34, 49, 1045)-net over F₁₆	[i]
39	Digital (35, 50, 1052)-net over F₁₆	[i]
40	Digital (36, 51, 1148)-net over F₁₆	[i]
41	Digital (38, 53, 1285)-net over F₁₆	[i]
42	Digital (39, 54, 1542)-net over F₁₆	[i]
43	Digital (41, 56, 1544)-net over F₁₆	[i]
44	Digital (32, 46, 1045)-net over F₁₆	[i]
45	Digital (33, 47, 1052)-net over F₁₆	[i]
46	Digital (34, 48, 1148)-net over F₁₆	[i]
47	Digital (35, 49, 1285)-net over F₁₆	[i]
48	Digital (36, 50, 1542)-net over F₁₆	[i]
49	Digital (38, 52, 1544)-net over F₁₆	[i]
50	Linear OOA(16¹⁴, 514, F₁₆, 2, 7) (dual of [(514, 2), 1014, 8]-NRT-code)	[i]	Extracting Embedded OOA