MinT - Information on Result #794827

Information on Result #794827

Digital (142, 180, 688)-net over F₃, using trace code for nets based on digital (7, 45, 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 (143, 180, 688)-net over F₃	[i]		t-Expansion
2	Digital (144, 180, 688)-net over F₃	[i]		t-Expansion
3	Digital (143, 181, 688)-net over F₃	[i]		Net Duplication
4	Digital (144, 182, 688)-net over F₃	[i]		Net Duplication
5	Digital (142, 179, 688)-net over F₃	[i]		m-Reduction
6	Digital (142, 178, 688)-net over F₃	[i]
7	Digital (142, 177, 688)-net over F₃	[i]
8	Digital (142, 176, 688)-net over F₃	[i]
9	Digital (142, 175, 688)-net over F₃	[i]
10	Digital (161, 199, 692)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
11	Digital (162, 200, 695)-net over F₃	[i]
12	Digital (163, 201, 696)-net over F₃	[i]
13	Digital (164, 202, 698)-net over F₃	[i]
14	Digital (165, 203, 700)-net over F₃	[i]
15	Linear OOA(3¹⁸⁰, 688, F₃, 4, 38) (dual of [(688, 4), 2572, 39]-NRT-code)	[i]		Extracting Embedded OOA
16	Linear OOA(3¹⁸⁰, 688, F₃, 5, 38) (dual of [(688, 5), 3260, 39]-NRT-code)	[i]		Extracting Embedded OOA