MinT - Information on Result #794774

Information on Result #794774

Digital (124, 156, 688)-net over F₃, using trace code for nets based on digital (7, 39, 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 (125, 156, 688)-net over F₃	[i]		t-Expansion
2	Digital (126, 156, 688)-net over F₃	[i]		t-Expansion
3	Digital (125, 157, 688)-net over F₃	[i]		Net Duplication
4	Digital (126, 158, 688)-net over F₃	[i]		Net Duplication
5	Digital (124, 155, 688)-net over F₃	[i]		m-Reduction
6	Digital (124, 154, 688)-net over F₃	[i]
7	Digital (124, 153, 688)-net over F₃	[i]
8	Digital (124, 152, 688)-net over F₃	[i]
9	Digital (140, 172, 692)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
10	Digital (141, 173, 695)-net over F₃	[i]
11	Digital (142, 174, 696)-net over F₃	[i]
12	Digital (143, 175, 698)-net over F₃	[i]
13	Digital (144, 176, 700)-net over F₃	[i]
14	Digital (145, 177, 701)-net over F₃	[i]
15	Digital (146, 178, 702)-net over F₃	[i]
16	Digital (147, 179, 704)-net over F₃	[i]
17	Linear OOA(3¹⁵⁶, 688, F₃, 4, 32) (dual of [(688, 4), 2596, 33]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(3¹⁵⁶, 688, F₃, 5, 32) (dual of [(688, 5), 3284, 33]-NRT-code)	[i]		Extracting Embedded OOA