MinT - Information on Result #791510

Information on Result #791510

Digital (126, 168, 195)-net over F₂, using trace code for nets based on digital (14, 56, 65)-net over F₈, using

net from sequence [i] based on digital (14, 64)-sequence over F₈, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
  - the Suzuki function field over F₈ [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 (127, 168, 195)-net over F₂	[i]		t-Expansion
2	Digital (127, 169, 195)-net over F₂	[i]		Net Duplication
3	Digital (126, 167, 195)-net over F₂	[i]		m-Reduction
4	Digital (126, 166, 195)-net over F₂	[i]
5	Digital (126, 165, 195)-net over F₂	[i]
6	Digital (126, 164, 195)-net over F₂	[i]
7	Digital (126, 163, 195)-net over F₂	[i]
8	Digital (126, 162, 195)-net over F₂	[i]
9	Digital (147, 189, 198)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
10	Digital (148, 190, 200)-net over F₂	[i]
11	Digital (149, 191, 201)-net over F₂	[i]
12	Linear OOA(2¹⁶⁸, 195, F₂, 2, 42) (dual of [(195, 2), 222, 43]-NRT-code)	[i]		Extracting Embedded OOA
13	Linear OOA(2¹⁶⁸, 195, F₂, 3, 42) (dual of [(195, 3), 417, 43]-NRT-code)	[i]
14	Linear OOA(2¹⁶⁸, 195, F₂, 4, 42) (dual of [(195, 4), 612, 43]-NRT-code)	[i]
15	Linear OOA(2¹⁶⁸, 195, F₂, 5, 42) (dual of [(195, 5), 807, 43]-NRT-code)	[i]
16	Linear OOA(2¹⁶⁸, 195, F₂, 6, 42) (dual of [(195, 6), 1002, 43]-NRT-code)	[i]
17	Linear OOA(2¹⁶⁸, 195, F₂, 7, 42) (dual of [(195, 7), 1197, 43]-NRT-code)	[i]
18	Linear OOA(2¹⁶⁸, 195, F₂, 8, 42) (dual of [(195, 8), 1392, 43]-NRT-code)	[i]