MinT - Information on Result #795316

Information on Result #795316

Digital (70, 128, 130)-net over F₄, using trace code for nets based on digital (6, 64, 65)-net over F₁₆, using

net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
  - the Hermitian function field over F₁₆ [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		Method
1	Digital (70, 127, 130)-net over F₄	[i]	m-Reduction
2	Digital (70, 126, 130)-net over F₄	[i]
3	Digital (70, 125, 130)-net over F₄	[i]
4	Digital (70, 124, 130)-net over F₄	[i]
5	Digital (70, 123, 130)-net over F₄	[i]
6	Digital (70, 122, 130)-net over F₄	[i]
7	Digital (70, 121, 130)-net over F₄	[i]
8	Digital (70, 120, 130)-net over F₄	[i]
9	Digital (70, 119, 130)-net over F₄	[i]
10	Digital (70, 118, 130)-net over F₄	[i]
11	Digital (70, 117, 130)-net over F₄	[i]
12	Digital (70, 116, 130)-net over F₄	[i]
13	Digital (70, 115, 130)-net over F₄	[i]
14	Digital (70, 114, 130)-net over F₄	[i]
15	Digital (70, 113, 130)-net over F₄	[i]
16	Digital (70, 112, 130)-net over F₄	[i]
17	Digital (70, 111, 130)-net over F₄	[i]
18	Digital (70, 110, 130)-net over F₄	[i]
19	Digital (99, 157, 135)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
20	Digital (100, 158, 139)-net over F₄	[i]
21	Digital (101, 159, 140)-net over F₄	[i]
22	Digital (102, 160, 144)-net over F₄	[i]
23	Digital (103, 161, 145)-net over F₄	[i]
24	Digital (104, 162, 147)-net over F₄	[i]
25	Digital (106, 164, 151)-net over F₄	[i]
26	Digital (108, 166, 152)-net over F₄	[i]
27	Digital (109, 167, 157)-net over F₄	[i]
28	Digital (111, 169, 158)-net over F₄	[i]
29	Digital (112, 170, 160)-net over F₄	[i]
30	Digital (114, 172, 163)-net over F₄	[i]
31	Linear OOA(4¹²⁸, 130, F₄, 2, 58) (dual of [(130, 2), 132, 59]-NRT-code)	[i]	Extracting Embedded OOA
32	Linear OOA(4¹²⁸, 130, F₄, 3, 58) (dual of [(130, 3), 262, 59]-NRT-code)	[i]	Extracting Embedded OOA