MinT - Information on Result #795990

Information on Result #795990

Digital (159, 228, 531)-net over F₄, using trace code for nets based on digital (7, 76, 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 (160, 228, 531)-net over F₄	[i]		t-Expansion
2	Digital (160, 229, 531)-net over F₄	[i]		Net Duplication
3	Digital (159, 227, 531)-net over F₄	[i]		m-Reduction
4	Digital (159, 226, 531)-net over F₄	[i]
5	Digital (159, 225, 531)-net over F₄	[i]
6	Digital (159, 224, 531)-net over F₄	[i]
7	Digital (159, 223, 531)-net over F₄	[i]
8	Digital (159, 222, 531)-net over F₄	[i]
9	Digital (159, 221, 531)-net over F₄	[i]
10	Digital (159, 220, 531)-net over F₄	[i]
11	Digital (159, 219, 531)-net over F₄	[i]
12	Digital (159, 218, 531)-net over F₄	[i]
13	Digital (159, 217, 531)-net over F₄	[i]
14	Digital (159, 216, 531)-net over F₄	[i]
15	Digital (159, 215, 531)-net over F₄	[i]
16	Linear OOA(4²²⁸, 531, F₄, 2, 69) (dual of [(531, 2), 834, 70]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(4²²⁸, 531, F₄, 3, 69) (dual of [(531, 3), 1365, 70]-NRT-code)	[i]		Extracting Embedded OOA