MinT - Information on Result #793620

Information on Result #793620

Digital (137, 230, 156)-net over F₃, using trace code for nets based on digital (22, 115, 78)-net over F₉, using

net from sequence [i] based on digital (22, 77)-sequence over F₉, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 22 and N(F) ≥ 78, using
  - F₃ from the tower of function fields by GarcÃa and Stichtenoth over F₉ [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, 229, 156)-net over F₃	[i]		m-Reduction
2	Digital (137, 228, 156)-net over F₃	[i]
3	Digital (137, 227, 156)-net over F₃	[i]
4	Digital (137, 226, 156)-net over F₃	[i]
5	Digital (137, 225, 156)-net over F₃	[i]
6	Digital (137, 224, 156)-net over F₃	[i]
7	Digital (137, 223, 156)-net over F₃	[i]
8	Digital (137, 222, 156)-net over F₃	[i]
9	Digital (137, 221, 156)-net over F₃	[i]
10	Digital (137, 220, 156)-net over F₃	[i]
11	Digital (137, 219, 156)-net over F₃	[i]
12	Digital (137, 218, 156)-net over F₃	[i]
13	Digital (137, 217, 156)-net over F₃	[i]
14	Digital (137, 216, 156)-net over F₃	[i]
15	Digital (137, 215, 156)-net over F₃	[i]
16	Digital (137, 214, 156)-net over F₃	[i]
17	Digital (137, 213, 156)-net over F₃	[i]
18	Digital (137, 212, 156)-net over F₃	[i]
19	Digital (137, 211, 156)-net over F₃	[i]
20	Linear OOA(3²³⁰, 156, F₃, 2, 93) (dual of [(156, 2), 82, 94]-NRT-code)	[i]		Extracting Embedded OOA
21	Linear OOA(3²³⁰, 156, F₃, 3, 93) (dual of [(156, 3), 238, 94]-NRT-code)	[i]
22	Linear OOA(3²³⁰, 156, F₃, 4, 93) (dual of [(156, 4), 394, 94]-NRT-code)	[i]
23	Linear OOA(3²³⁰, 156, F₃, 5, 93) (dual of [(156, 5), 550, 94]-NRT-code)	[i]