MinT - Information on Result #795956

Information on Result #795956

Digital (145, 207, 531)-net over F₄, using trace code for nets based on digital (7, 69, 177)-net over F₆₄, using

net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [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 (146, 207, 531)-net over F₄	[i]		t-Expansion
2	Digital (146, 208, 531)-net over F₄	[i]		Net Duplication
3	Digital (145, 206, 531)-net over F₄	[i]		m-Reduction
4	Digital (145, 205, 531)-net over F₄	[i]
5	Digital (145, 204, 531)-net over F₄	[i]
6	Digital (145, 203, 531)-net over F₄	[i]
7	Digital (145, 202, 531)-net over F₄	[i]
8	Digital (145, 201, 531)-net over F₄	[i]
9	Digital (145, 200, 531)-net over F₄	[i]
10	Digital (145, 199, 531)-net over F₄	[i]
11	Digital (145, 198, 531)-net over F₄	[i]
12	Digital (145, 197, 531)-net over F₄	[i]
13	Digital (145, 196, 531)-net over F₄	[i]
14	Digital (145, 195, 531)-net over F₄	[i]
15	Digital (176, 238, 536)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
16	Digital (177, 239, 540)-net over F₄	[i]
17	Digital (178, 240, 541)-net over F₄	[i]
18	Digital (179, 241, 545)-net over F₄	[i]
19	Digital (180, 242, 546)-net over F₄	[i]
20	Digital (181, 243, 548)-net over F₄	[i]
21	Digital (183, 245, 552)-net over F₄	[i]
22	Digital (185, 247, 553)-net over F₄	[i]
23	Linear OOA(4²⁰⁷, 531, F₄, 2, 62) (dual of [(531, 2), 855, 63]-NRT-code)	[i]		Extracting Embedded OOA
24	Linear OOA(4²⁰⁷, 531, F₄, 3, 62) (dual of [(531, 3), 1386, 63]-NRT-code)	[i]		Extracting Embedded OOA