MinT - Information on Result #799600

Information on Result #799600

Digital (30, 60, 514)-net over F₁₆, using trace code for nets based on digital (0, 30, 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 (30, 59, 514)-net over F₁₆	[i]	m-Reduction
2	Digital (45, 75, 531)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
3	Digital (46, 76, 538)-net over F₁₆	[i]
4	Digital (47, 77, 547)-net over F₁₆	[i]
5	Digital (48, 78, 552)-net over F₁₆	[i]
6	Digital (49, 79, 559)-net over F₁₆	[i]
7	Digital (50, 80, 563)-net over F₁₆	[i]
8	Digital (51, 81, 579)-net over F₁₆	[i]
9	Digital (56, 86, 580)-net over F₁₆	[i]
10	Digital (57, 87, 585)-net over F₁₆	[i]
11	Digital (58, 88, 596)-net over F₁₆	[i]
12	Digital (59, 89, 771)-net over F₁₆	[i]
13	Digital (60, 90, 1028)-net over F₁₆	[i]
14	(54, 84, 594)-net in base 16	[i]
15	(57, 87, 643)-net in base 16	[i]
16	(58, 88, 664)-net in base 16	[i]
17	Digital (77, 107, 1062)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
18	Digital (78, 108, 1069)-net over F₁₆	[i]
19	Digital (79, 109, 1076)-net over F₁₆	[i]
20	Digital (79, 109, 1078)-net over F₁₆	[i]
21	Digital (80, 110, 1085)-net over F₁₆	[i]
22	Digital (81, 111, 1094)-net over F₁₆	[i]
23	Digital (82, 112, 1099)-net over F₁₆	[i]
24	Digital (70, 100, 1045)-net over F₁₆	[i]
25	Digital (71, 101, 1052)-net over F₁₆	[i]
26	Digital (72, 102, 1061)-net over F₁₆	[i]
27	Digital (73, 103, 1066)-net over F₁₆	[i]
28	Digital (74, 104, 1073)-net over F₁₆	[i]
29	Digital (75, 105, 1077)-net over F₁₆	[i]
30	Digital (76, 106, 1093)-net over F₁₆	[i]
31	Digital (79, 109, 1285)-net over F₁₆	[i]
32	Digital (80, 110, 1542)-net over F₁₆	[i]
33	Linear OOA(16⁶⁰, 514, F₁₆, 2, 30) (dual of [(514, 2), 968, 31]-NRT-code)	[i]	Extracting Embedded OOA
34	(50, 80, 514)-net in base 8	[i]	Base Change