MinT - Information on Result #794726

Information on Result #794726

Digital (106, 132, 688)-net over F₃, using trace code for nets based on digital (7, 33, 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 (107, 132, 688)-net over F₃	[i]		t-Expansion
2	Digital (108, 132, 688)-net over F₃	[i]		t-Expansion
3	Digital (107, 133, 688)-net over F₃	[i]		Net Duplication
4	Digital (108, 134, 688)-net over F₃	[i]		Net Duplication
5	Digital (106, 131, 688)-net over F₃	[i]		m-Reduction
6	Digital (106, 130, 688)-net over F₃	[i]
7	Digital (106, 129, 688)-net over F₃	[i]
8	Digital (119, 145, 692)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
9	Digital (120, 146, 695)-net over F₃	[i]
10	Digital (121, 147, 696)-net over F₃	[i]
11	Digital (122, 148, 698)-net over F₃	[i]
12	Digital (123, 149, 700)-net over F₃	[i]
13	Digital (124, 150, 701)-net over F₃	[i]
14	Digital (125, 151, 702)-net over F₃	[i]
15	Digital (126, 152, 704)-net over F₃	[i]
16	Linear OOA(3¹³², 688, F₃, 4, 26) (dual of [(688, 4), 2620, 27]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(3¹³², 688, F₃, 5, 26) (dual of [(688, 5), 3308, 27]-NRT-code)	[i]		Extracting Embedded OOA