MinT - Information on Result #794742

Information on Result #794742

Digital (112, 140, 688)-net over F₃, using trace code for nets based on digital (7, 35, 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 (113, 140, 688)-net over F₃	[i]		t-Expansion
2	Digital (114, 140, 688)-net over F₃	[i]		t-Expansion
3	Digital (113, 141, 688)-net over F₃	[i]		Net Duplication
4	Digital (114, 142, 688)-net over F₃	[i]		Net Duplication
5	Digital (112, 139, 688)-net over F₃	[i]		m-Reduction
6	Digital (112, 138, 688)-net over F₃	[i]
7	Digital (112, 137, 688)-net over F₃	[i]
8	Digital (126, 154, 692)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
9	Digital (127, 155, 695)-net over F₃	[i]
10	Digital (128, 156, 696)-net over F₃	[i]
11	Digital (129, 157, 698)-net over F₃	[i]
12	Digital (130, 158, 700)-net over F₃	[i]
13	Digital (131, 159, 701)-net over F₃	[i]
14	Digital (132, 160, 702)-net over F₃	[i]
15	Digital (133, 161, 704)-net over F₃	[i]
16	Linear OOA(3¹⁴⁰, 688, F₃, 4, 28) (dual of [(688, 4), 2612, 29]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(3¹⁴⁰, 688, F₃, 5, 28) (dual of [(688, 5), 3300, 29]-NRT-code)	[i]		Extracting Embedded OOA