MinT - Information on Result #795890

Information on Result #795890

Digital (123, 174, 531)-net over F₄, using trace code for nets based on digital (7, 58, 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 (124, 174, 531)-net over F₄	[i]		t-Expansion
2	Digital (124, 175, 531)-net over F₄	[i]		Net Duplication
3	Digital (123, 173, 531)-net over F₄	[i]		m-Reduction
4	Digital (123, 172, 531)-net over F₄	[i]
5	Digital (123, 171, 531)-net over F₄	[i]
6	Digital (123, 170, 531)-net over F₄	[i]
7	Digital (123, 169, 531)-net over F₄	[i]
8	Digital (123, 168, 531)-net over F₄	[i]
9	Digital (123, 167, 531)-net over F₄	[i]
10	Digital (123, 166, 531)-net over F₄	[i]
11	Digital (123, 165, 531)-net over F₄	[i]
12	Digital (148, 199, 536)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
13	Digital (149, 200, 540)-net over F₄	[i]
14	Digital (150, 201, 541)-net over F₄	[i]
15	Digital (151, 202, 545)-net over F₄	[i]
16	Digital (152, 203, 546)-net over F₄	[i]
17	Linear OOA(4¹⁷⁴, 531, F₄, 2, 51) (dual of [(531, 2), 888, 52]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(4¹⁷⁴, 531, F₄, 3, 51) (dual of [(531, 3), 1419, 52]-NRT-code)	[i]		Extracting Embedded OOA