MinT - Information on Result #795949

Information on Result #795949

Digital (164, 204, 1539)-net over F₄, using trace code for nets based on digital (28, 68, 513)-net over F₆₄, using

net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
  - the Hermitian function field over F₆₄ [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 (165, 204, 1539)-net over F₄	[i]		t-Expansion
2	Digital (165, 205, 1539)-net over F₄	[i]		Net Duplication
3	Digital (164, 203, 1539)-net over F₄	[i]		m-Reduction
4	Digital (164, 202, 1539)-net over F₄	[i]
5	Digital (164, 201, 1539)-net over F₄	[i]
6	Digital (164, 200, 1539)-net over F₄	[i]
7	Digital (164, 199, 1539)-net over F₄	[i]
8	Digital (164, 198, 1539)-net over F₄	[i]
9	Digital (184, 224, 1544)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
10	Digital (185, 225, 1548)-net over F₄	[i]
11	Digital (186, 226, 1549)-net over F₄	[i]
12	Digital (187, 227, 1553)-net over F₄	[i]
13	Digital (188, 228, 1554)-net over F₄	[i]
14	Digital (189, 229, 1556)-net over F₄	[i]
15	Digital (191, 231, 1560)-net over F₄	[i]
16	Digital (193, 233, 1561)-net over F₄	[i]
17	Digital (194, 234, 1566)-net over F₄	[i]
18	Digital (196, 236, 1567)-net over F₄	[i]
19	Digital (197, 237, 1569)-net over F₄	[i]
20	Digital (199, 239, 1572)-net over F₄	[i]
21	Linear OOA(4²⁰⁴, 1539, F₄, 3, 40) (dual of [(1539, 3), 4413, 41]-NRT-code)	[i]		Extracting Embedded OOA