MinT - Information on Result #799215

Information on Result #799215

Digital (8, 16, 514)-net over F₁₆, using trace code for nets based on digital (0, 8, 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 (8, 15, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (23, 31, 514)-net over F₄	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (12, 20, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (13, 21, 538)-net over F₁₆	[i]
5	Digital (16, 24, 1028)-net over F₁₆	[i]
6	Digital (32, 48, 1028)-net over F₁₆	[i]
7	Digital (34, 50, 1030)-net over F₁₆	[i]
8	Digital (40, 56, 1045)-net over F₁₆	[i]
9	Digital (41, 57, 1052)-net over F₁₆	[i]
10	Digital (42, 58, 1061)-net over F₁₆	[i]
11	Digital (43, 59, 1066)-net over F₁₆	[i]
12	Digital (92, 108, 2097664)-net over F₁₆	[i]
13	Digital (33, 50, 1028)-net over F₁₆	[i]
14	Digital (35, 52, 1030)-net over F₁₆	[i]
15	Digital (41, 58, 1045)-net over F₁₆	[i]
16	Digital (42, 59, 1052)-net over F₁₆	[i]
17	Digital (43, 60, 1061)-net over F₁₆	[i]
18	Digital (97, 114, 2097664)-net over F₁₆	[i]
19	(13, 21, 547)-net in base 16	[i]
20	Digital (42, 59, 1062)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
21	Digital (43, 60, 1069)-net over F₁₆	[i]
22	Digital (41, 57, 1062)-net over F₁₆	[i]
23	Digital (42, 58, 1069)-net over F₁₆	[i]
24	Digital (43, 59, 1076)-net over F₁₆	[i]
25	Digital (43, 59, 1165)-net over F₁₆	[i]
26	Digital (68, 94, 1542)-net over F₁₆	[i]
27	Digital (70, 96, 1544)-net over F₁₆	[i]
28	Digital (65, 90, 1542)-net over F₁₆	[i]
29	Digital (67, 92, 1544)-net over F₁₆	[i]
30	Digital (64, 88, 1542)-net over F₁₆	[i]
31	Digital (38, 55, 1045)-net over F₁₆	[i]
32	Digital (39, 56, 1052)-net over F₁₆	[i]
33	Digital (40, 57, 1148)-net over F₁₆	[i]
34	Digital (42, 59, 1285)-net over F₁₆	[i]
35	Digital (43, 60, 1542)-net over F₁₆	[i]
36	Digital (37, 53, 1045)-net over F₁₆	[i]
37	Digital (38, 54, 1052)-net over F₁₆	[i]
38	Digital (39, 55, 1148)-net over F₁₆	[i]
39	Digital (41, 57, 1285)-net over F₁₆	[i]
40	Digital (42, 58, 1542)-net over F₁₆	[i]
41	Digital (18, 26, 1045)-net over F₁₆	[i]
42	Digital (19, 27, 1301)-net over F₁₆	[i]
43	Digital (20, 28, 1542)-net over F₁₆	[i]
44	Linear OOA(16¹⁶, 514, F₁₆, 2, 8) (dual of [(514, 2), 1012, 9]-NRT-code)	[i]	Extracting Embedded OOA