MinT - Information on Result #790666

Information on Result #790666

Digital (75, 120, 66)-net over F₂, using trace code for nets based on digital (15, 60, 33)-net over F₄, using

net from sequence [i] based on digital (15, 32)-sequence over F₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [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 (75, 119, 66)-net over F₂	[i]		m-Reduction
2	Digital (75, 118, 66)-net over F₂	[i]
3	Digital (75, 117, 66)-net over F₂	[i]
4	Digital (75, 116, 66)-net over F₂	[i]
5	Digital (75, 115, 66)-net over F₂	[i]
6	Digital (75, 114, 66)-net over F₂	[i]
7	Digital (75, 113, 66)-net over F₂	[i]
8	Digital (75, 112, 66)-net over F₂	[i]
9	Digital (75, 111, 66)-net over F₂	[i]
10	Digital (75, 110, 66)-net over F₂	[i]
11	Digital (75, 109, 66)-net over F₂	[i]
12	Digital (97, 142, 69)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
13	Digital (98, 143, 71)-net over F₂	[i]
14	Digital (100, 145, 73)-net over F₂	[i]
15	Digital (101, 146, 74)-net over F₂	[i]
16	Digital (103, 148, 76)-net over F₂	[i]
17	Linear OOA(2¹²⁰, 66, F₂, 3, 45) (dual of [(66, 3), 78, 46]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(2¹²⁰, 66, F₂, 4, 45) (dual of [(66, 4), 144, 46]-NRT-code)	[i]
19	Linear OOA(2¹²⁰, 66, F₂, 5, 45) (dual of [(66, 5), 210, 46]-NRT-code)	[i]
20	Linear OOA(2¹²⁰, 66, F₂, 6, 45) (dual of [(66, 6), 276, 46]-NRT-code)	[i]
21	Linear OOA(2¹²⁰, 66, F₂, 7, 45) (dual of [(66, 7), 342, 46]-NRT-code)	[i]
22	Linear OOA(2¹²⁰, 66, F₂, 8, 45) (dual of [(66, 8), 408, 46]-NRT-code)	[i]