MinT - Information on Result #793603

Information on Result #793603

Digital (145, 226, 162)-net over F₃, using trace code for nets based on digital (32, 113, 81)-net over F₉, using

net from sequence [i] based on digital (32, 80)-sequence over F₉, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 32 and N(F) ≥ 81, using
  - F₄ from the tower of function fields by Bezerra and GarcÃa 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 (145, 225, 162)-net over F₃	[i]		m-Reduction
2	Digital (145, 224, 162)-net over F₃	[i]
3	Digital (145, 223, 162)-net over F₃	[i]
4	Digital (145, 222, 162)-net over F₃	[i]
5	Digital (145, 221, 162)-net over F₃	[i]
6	Digital (145, 220, 162)-net over F₃	[i]
7	Digital (145, 219, 162)-net over F₃	[i]
8	Digital (145, 218, 162)-net over F₃	[i]
9	Digital (145, 217, 162)-net over F₃	[i]
10	Digital (145, 216, 162)-net over F₃	[i]
11	Digital (145, 215, 162)-net over F₃	[i]
12	Linear OOA(3²²⁶, 162, F₃, 4, 81) (dual of [(162, 4), 422, 82]-NRT-code)	[i]		Extracting Embedded OOA
13	Linear OOA(3²²⁶, 162, F₃, 5, 81) (dual of [(162, 5), 584, 82]-NRT-code)	[i]		Extracting Embedded OOA