MinT - Information on Result #790729

Information on Result #790729

Digital (84, 138, 66)-net over F₂, using trace code for nets based on digital (15, 69, 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 (84, 137, 66)-net over F₂	[i]		m-Reduction
2	Digital (84, 136, 66)-net over F₂	[i]
3	Digital (84, 135, 66)-net over F₂	[i]
4	Digital (84, 134, 66)-net over F₂	[i]
5	Digital (84, 133, 66)-net over F₂	[i]
6	Digital (84, 132, 66)-net over F₂	[i]
7	Digital (84, 131, 66)-net over F₂	[i]
8	Digital (84, 130, 66)-net over F₂	[i]
9	Digital (84, 129, 66)-net over F₂	[i]
10	Digital (84, 128, 66)-net over F₂	[i]
11	Digital (84, 127, 66)-net over F₂	[i]
12	Digital (111, 165, 69)-net over F₂	[i]		(u,Â u+v)-Construction for Nets
13	Digital (112, 166, 71)-net over F₂	[i]
14	Digital (113, 167, 72)-net over F₂	[i]
15	Digital (114, 168, 73)-net over F₂	[i]
16	Digital (115, 169, 74)-net over F₂	[i]
17	Digital (116, 170, 75)-net over F₂	[i]
18	Digital (117, 171, 76)-net over F₂	[i]
19	Digital (119, 173, 77)-net over F₂	[i]
20	Linear OOA(2¹³⁸, 66, F₂, 3, 54) (dual of [(66, 3), 60, 55]-NRT-code)	[i]		Extracting Embedded OOA
21	Linear OOA(2¹³⁸, 66, F₂, 4, 54) (dual of [(66, 4), 126, 55]-NRT-code)	[i]
22	Linear OOA(2¹³⁸, 66, F₂, 5, 54) (dual of [(66, 5), 192, 55]-NRT-code)	[i]
23	Linear OOA(2¹³⁸, 66, F₂, 6, 54) (dual of [(66, 6), 258, 55]-NRT-code)	[i]
24	Linear OOA(2¹³⁸, 66, F₂, 7, 54) (dual of [(66, 7), 324, 55]-NRT-code)	[i]
25	Linear OOA(2¹³⁸, 66, F₂, 8, 54) (dual of [(66, 8), 390, 55]-NRT-code)	[i]