MinT - Information on Result #799073

Information on Result #799073

Digital (77, 122, 740)-net over F₉, using trace code for nets based on digital (16, 61, 370)-net over F₈₁, using

net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
  - a function field by GarcÃa and Quoos [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		This result only	Method
1	Digital (77, 121, 740)-net over F₉	[i]		m-Reduction
2	Digital (77, 120, 740)-net over F₉	[i]
3	Digital (77, 119, 740)-net over F₉	[i]
4	Digital (77, 118, 740)-net over F₉	[i]
5	Digital (77, 117, 740)-net over F₉	[i]
6	Digital (77, 116, 740)-net over F₉	[i]
7	Digital (77, 115, 740)-net over F₉	[i]
8	Digital (77, 114, 740)-net over F₉	[i]
9	Digital (77, 113, 740)-net over F₉	[i]
10	Digital (77, 112, 740)-net over F₉	[i]
11	Digital (77, 111, 740)-net over F₉	[i]
12	Digital (77, 110, 740)-net over F₉	[i]
13	Digital (77, 109, 740)-net over F₉	[i]
14	Digital (77, 108, 740)-net over F₉	[i]
15	Digital (99, 144, 750)-net over F₉	[i]		(u,Â u+v)-Construction for Nets
16	Digital (100, 145, 756)-net over F₉	[i]
17	Digital (101, 146, 760)-net over F₉	[i]
18	Digital (102, 147, 768)-net over F₉	[i]
19	Digital (103, 148, 770)-net over F₉	[i]
20	Digital (104, 149, 772)-net over F₉	[i]
21	Digital (105, 150, 774)-net over F₉	[i]
22	Linear OOA(9¹²², 740, F₉, 2, 45) (dual of [(740, 2), 1358, 46]-NRT-code)	[i]		Extracting Embedded OOA
23	Linear OOA(9¹²², 740, F₉, 3, 45) (dual of [(740, 3), 2098, 46]-NRT-code)	[i]		Extracting Embedded OOA