MinT - Information on Result #799330

Information on Result #799330

Digital (18, 36, 514)-net over F₁₆, using trace code for nets based on digital (0, 18, 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 (18, 35, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (53, 71, 514)-net over F₄	[i]	Base Reduction for Projective Spaces (for Nets)
3	Digital (27, 45, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
4	Digital (28, 46, 538)-net over F₁₆	[i]
5	Digital (29, 47, 547)-net over F₁₆	[i]
6	Digital (30, 48, 552)-net over F₁₆	[i]
7	Digital (31, 49, 559)-net over F₁₆	[i]
8	Digital (32, 50, 563)-net over F₁₆	[i]
9	Digital (33, 51, 579)-net over F₁₆	[i]
10	Digital (35, 53, 771)-net over F₁₆	[i]
11	Digital (36, 54, 1028)-net over F₁₆	[i]
12	Digital (72, 108, 1028)-net over F₁₆	[i]
13	Digital (74, 110, 1030)-net over F₁₆	[i]
14	Digital (91, 127, 1052)-net over F₁₆	[i]
15	Digital (92, 128, 1061)-net over F₁₆	[i]
16	Digital (93, 129, 1066)-net over F₁₆	[i]
17	Digital (94, 130, 1073)-net over F₁₆	[i]
18	Digital (73, 110, 1028)-net over F₁₆	[i]
19	Digital (75, 112, 1030)-net over F₁₆	[i]
20	Digital (92, 129, 1052)-net over F₁₆	[i]
21	Digital (93, 130, 1061)-net over F₁₆	[i]
22	(32, 50, 579)-net in base 16	[i]
23	(33, 51, 594)-net in base 16	[i]
24	Digital (46, 64, 1062)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
25	Digital (85, 122, 1045)-net over F₁₆	[i]
26	Digital (86, 123, 1052)-net over F₁₆	[i]
27	Digital (87, 124, 1061)-net over F₁₆	[i]
28	Digital (88, 125, 1066)-net over F₁₆	[i]
29	Digital (89, 126, 1073)-net over F₁₆	[i]
30	Digital (90, 127, 1077)-net over F₁₆	[i]
31	Digital (91, 128, 1093)-net over F₁₆	[i]
32	Digital (93, 130, 1095)-net over F₁₆	[i]
33	Digital (84, 120, 1045)-net over F₁₆	[i]
34	Digital (85, 121, 1052)-net over F₁₆	[i]
35	Digital (86, 122, 1061)-net over F₁₆	[i]
36	Digital (87, 123, 1066)-net over F₁₆	[i]
37	Digital (88, 124, 1073)-net over F₁₆	[i]
38	Digital (89, 125, 1077)-net over F₁₆	[i]
39	Digital (90, 126, 1093)-net over F₁₆	[i]
40	Digital (92, 128, 1095)-net over F₁₆	[i]
41	Digital (42, 60, 1045)-net over F₁₆	[i]
42	Digital (43, 61, 1052)-net over F₁₆	[i]
43	Digital (44, 62, 1061)-net over F₁₆	[i]
44	Digital (45, 63, 1066)-net over F₁₆	[i]
45	Digital (46, 64, 1073)-net over F₁₆	[i]
46	Linear OOA(16³⁶, 514, F₁₆, 2, 18) (dual of [(514, 2), 992, 19]-NRT-code)	[i]	Extracting Embedded OOA
47	(30, 48, 514)-net in base 8	[i]	Base Change