MinT - Information on Result #793361

Information on Result #793361

Digital (105, 166, 156)-net over F₃, using trace code for nets based on digital (22, 83, 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 (105, 165, 156)-net over F₃	[i]		m-Reduction
2	Digital (105, 164, 156)-net over F₃	[i]
3	Digital (105, 163, 156)-net over F₃	[i]
4	Digital (105, 162, 156)-net over F₃	[i]
5	Digital (105, 161, 156)-net over F₃	[i]
6	Digital (105, 160, 156)-net over F₃	[i]
7	Digital (105, 159, 156)-net over F₃	[i]
8	Digital (105, 158, 156)-net over F₃	[i]
9	Digital (105, 157, 156)-net over F₃	[i]
10	Digital (105, 156, 156)-net over F₃	[i]
11	Digital (105, 155, 156)-net over F₃	[i]
12	Digital (105, 154, 156)-net over F₃	[i]
13	Digital (105, 153, 156)-net over F₃	[i]
14	Digital (105, 152, 156)-net over F₃	[i]
15	Linear OOA(3¹⁶⁶, 156, F₃, 2, 61) (dual of [(156, 2), 146, 62]-NRT-code)	[i]		Extracting Embedded OOA
16	Linear OOA(3¹⁶⁶, 156, F₃, 3, 61) (dual of [(156, 3), 302, 62]-NRT-code)	[i]
17	Linear OOA(3¹⁶⁶, 156, F₃, 4, 61) (dual of [(156, 4), 458, 62]-NRT-code)	[i]
18	Linear OOA(3¹⁶⁶, 156, F₃, 5, 61) (dual of [(156, 5), 614, 62]-NRT-code)	[i]