MinT - Information on Result #793699

Information on Result #793699

Digital (157, 250, 162)-net over F₃, using trace code for nets based on digital (32, 125, 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 (158, 250, 162)-net over F₃	[i]		t-Expansion
2	Digital (159, 250, 162)-net over F₃	[i]
3	Digital (160, 250, 162)-net over F₃	[i]
4	Digital (161, 250, 162)-net over F₃	[i]
5	Digital (162, 250, 162)-net over F₃	[i]
6	Digital (163, 250, 162)-net over F₃	[i]
7	Digital (164, 250, 162)-net over F₃	[i]
8	Digital (165, 250, 162)-net over F₃	[i]
9	Digital (166, 250, 162)-net over F₃	[i]
10	Digital (157, 249, 162)-net over F₃	[i]		m-Reduction
11	Digital (157, 248, 162)-net over F₃	[i]
12	Digital (157, 247, 162)-net over F₃	[i]
13	Digital (157, 246, 162)-net over F₃	[i]
14	Digital (157, 245, 162)-net over F₃	[i]
15	Digital (157, 244, 162)-net over F₃	[i]
16	Digital (157, 243, 162)-net over F₃	[i]
17	Digital (157, 242, 162)-net over F₃	[i]
18	Digital (157, 241, 162)-net over F₃	[i]
19	Digital (157, 240, 162)-net over F₃	[i]
20	Digital (157, 239, 162)-net over F₃	[i]
21	Digital (157, 238, 162)-net over F₃	[i]
22	Digital (157, 237, 162)-net over F₃	[i]
23	Digital (157, 236, 162)-net over F₃	[i]
24	Digital (157, 235, 162)-net over F₃	[i]
25	Linear OOA(3²⁵⁰, 162, F₃, 4, 93) (dual of [(162, 4), 398, 94]-NRT-code)	[i]		Extracting Embedded OOA
26	Linear OOA(3²⁵⁰, 162, F₃, 5, 93) (dual of [(162, 5), 560, 94]-NRT-code)	[i]		Extracting Embedded OOA