MinT - Information on Result #793389

Information on Result #793389

Digital (108, 172, 156)-net over F₃, using trace code for nets based on digital (22, 86, 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 (108, 171, 156)-net over F₃	[i]		m-Reduction
2	Digital (108, 170, 156)-net over F₃	[i]
3	Digital (108, 169, 156)-net over F₃	[i]
4	Digital (108, 168, 156)-net over F₃	[i]
5	Digital (108, 167, 156)-net over F₃	[i]
6	Digital (108, 166, 156)-net over F₃	[i]
7	Digital (108, 165, 156)-net over F₃	[i]
8	Digital (108, 164, 156)-net over F₃	[i]
9	Digital (108, 163, 156)-net over F₃	[i]
10	Digital (108, 162, 156)-net over F₃	[i]
11	Digital (108, 161, 156)-net over F₃	[i]
12	Digital (108, 160, 156)-net over F₃	[i]
13	Digital (108, 159, 156)-net over F₃	[i]
14	Digital (108, 158, 156)-net over F₃	[i]
15	Digital (108, 157, 156)-net over F₃	[i]
16	Linear OOA(3¹⁷², 156, F₃, 2, 64) (dual of [(156, 2), 140, 65]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(3¹⁷², 156, F₃, 3, 64) (dual of [(156, 3), 296, 65]-NRT-code)	[i]
18	Linear OOA(3¹⁷², 156, F₃, 4, 64) (dual of [(156, 4), 452, 65]-NRT-code)	[i]
19	Linear OOA(3¹⁷², 156, F₃, 5, 64) (dual of [(156, 5), 608, 65]-NRT-code)	[i]