MinT - Information on Result #790673

Information on Result #790673

Digital (76, 122, 66)-net over F₂, using trace code for nets based on digital (15, 61, 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 (76, 121, 66)-net over F₂	[i]		m-Reduction
2	Digital (76, 120, 66)-net over F₂	[i]
3	Digital (76, 119, 66)-net over F₂	[i]
4	Digital (76, 118, 66)-net over F₂	[i]
5	Digital (76, 117, 66)-net over F₂	[i]
6	Digital (76, 116, 66)-net over F₂	[i]
7	Digital (76, 115, 66)-net over F₂	[i]
8	Digital (76, 114, 66)-net over F₂	[i]
9	Digital (76, 113, 66)-net over F₂	[i]
10	Digital (76, 112, 66)-net over F₂	[i]
11	Digital (76, 111, 66)-net over F₂	[i]
12	Digital (99, 145, 69)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
13	Digital (100, 146, 71)-net over F₂	[i]
14	Digital (102, 148, 73)-net over F₂	[i]
15	Digital (103, 149, 74)-net over F₂	[i]
16	Digital (105, 151, 76)-net over F₂	[i]
17	Linear OOA(2¹²², 66, F₂, 3, 46) (dual of [(66, 3), 76, 47]-NRT-code)	[i]		Extracting Embedded OOA
18	Linear OOA(2¹²², 66, F₂, 4, 46) (dual of [(66, 4), 142, 47]-NRT-code)	[i]
19	Linear OOA(2¹²², 66, F₂, 5, 46) (dual of [(66, 5), 208, 47]-NRT-code)	[i]
20	Linear OOA(2¹²², 66, F₂, 6, 46) (dual of [(66, 6), 274, 47]-NRT-code)	[i]
21	Linear OOA(2¹²², 66, F₂, 7, 46) (dual of [(66, 7), 340, 47]-NRT-code)	[i]
22	Linear OOA(2¹²², 66, F₂, 8, 46) (dual of [(66, 8), 406, 47]-NRT-code)	[i]