MinT - Information on Result #795363

Information on Result #795363

Digital (78, 144, 130)-net over F₄, using trace code for nets based on digital (6, 72, 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 (78, 143, 130)-net over F₄	[i]	m-Reduction
2	Digital (78, 142, 130)-net over F₄	[i]
3	Digital (78, 141, 130)-net over F₄	[i]
4	Digital (78, 140, 130)-net over F₄	[i]
5	Digital (78, 139, 130)-net over F₄	[i]
6	Digital (78, 138, 130)-net over F₄	[i]
7	Digital (78, 137, 130)-net over F₄	[i]
8	Digital (78, 136, 130)-net over F₄	[i]
9	Digital (78, 135, 130)-net over F₄	[i]
10	Digital (78, 134, 130)-net over F₄	[i]
11	Digital (78, 133, 130)-net over F₄	[i]
12	Digital (78, 132, 130)-net over F₄	[i]
13	Digital (78, 131, 130)-net over F₄	[i]
14	Digital (78, 130, 130)-net over F₄	[i]
15	Digital (78, 129, 130)-net over F₄	[i]
16	Digital (78, 128, 130)-net over F₄	[i]
17	Digital (78, 127, 130)-net over F₄	[i]
18	Digital (78, 126, 130)-net over F₄	[i]
19	Digital (78, 125, 130)-net over F₄	[i]
20	Digital (78, 124, 130)-net over F₄	[i]
21	Digital (78, 123, 130)-net over F₄	[i]
22	Digital (111, 177, 135)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
23	Digital (112, 178, 139)-net over F₄	[i]
24	Digital (113, 179, 140)-net over F₄	[i]
25	Digital (114, 180, 144)-net over F₄	[i]
26	Digital (115, 181, 145)-net over F₄	[i]
27	Digital (116, 182, 147)-net over F₄	[i]
28	Digital (118, 184, 151)-net over F₄	[i]
29	Digital (120, 186, 152)-net over F₄	[i]
30	Digital (121, 187, 157)-net over F₄	[i]
31	Digital (123, 189, 158)-net over F₄	[i]
32	Digital (124, 190, 160)-net over F₄	[i]
33	Digital (126, 192, 163)-net over F₄	[i]
34	Linear OOA(4¹⁴⁴, 130, F₄, 2, 66) (dual of [(130, 2), 116, 67]-NRT-code)	[i]	Extracting Embedded OOA
35	Linear OOA(4¹⁴⁴, 130, F₄, 3, 66) (dual of [(130, 3), 246, 67]-NRT-code)	[i]	Extracting Embedded OOA