MinT - Information on Result #794809

Information on Result #794809

Digital (136, 172, 688)-net over F₃, using trace code for nets based on digital (7, 43, 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 (137, 172, 688)-net over F₃	[i]		t-Expansion
2	Digital (138, 172, 688)-net over F₃	[i]		t-Expansion
3	Digital (137, 173, 688)-net over F₃	[i]		Net Duplication
4	Digital (138, 174, 688)-net over F₃	[i]		Net Duplication
5	Digital (136, 171, 688)-net over F₃	[i]		m-Reduction
6	Digital (136, 170, 688)-net over F₃	[i]
7	Digital (136, 169, 688)-net over F₃	[i]
8	Digital (136, 168, 688)-net over F₃	[i]
9	Digital (154, 190, 692)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
10	Digital (155, 191, 695)-net over F₃	[i]
11	Digital (156, 192, 696)-net over F₃	[i]
12	Digital (157, 193, 698)-net over F₃	[i]
13	Digital (158, 194, 700)-net over F₃	[i]
14	Digital (159, 195, 701)-net over F₃	[i]
15	Linear OOA(3¹⁷², 688, F₃, 4, 36) (dual of [(688, 4), 2580, 37]-NRT-code)	[i]		Extracting Embedded OOA
16	Linear OOA(3¹⁷², 688, F₃, 5, 36) (dual of [(688, 5), 3268, 37]-NRT-code)	[i]		Extracting Embedded OOA