MinT - Information on Result #794766

Information on Result #794766

Digital (121, 152, 688)-net over F₃, using trace code for nets based on digital (7, 38, 172)-net over F₈₁, using

net from sequence [i] based on digital (7, 171)-sequence over F₈₁, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, using
  - a function field by SÃ©mirat [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 (122, 152, 688)-net over F₃	[i]		t-Expansion
2	Digital (123, 152, 688)-net over F₃	[i]		t-Expansion
3	Digital (122, 153, 688)-net over F₃	[i]		Net Duplication
4	Digital (123, 154, 688)-net over F₃	[i]		Net Duplication
5	Digital (121, 151, 688)-net over F₃	[i]		m-Reduction
6	Digital (121, 150, 688)-net over F₃	[i]
7	Digital (121, 149, 688)-net over F₃	[i]
8	Digital (121, 148, 688)-net over F₃	[i]
9	Digital (136, 167, 692)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
10	Digital (137, 168, 695)-net over F₃	[i]
11	Digital (138, 169, 696)-net over F₃	[i]
12	Digital (139, 170, 698)-net over F₃	[i]
13	Digital (140, 171, 700)-net over F₃	[i]
14	Digital (141, 172, 701)-net over F₃	[i]
15	Digital (142, 173, 702)-net over F₃	[i]
16	Digital (143, 174, 704)-net over F₃	[i]
17	Linear OOA(3¹⁵², 688, F₃, 4, 31) (dual of [(688, 4), 2600, 32]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(3¹⁵², 688, F₃, 5, 31) (dual of [(688, 5), 3288, 32]-NRT-code)	[i]		Extracting Embedded OOA