MinT - Information on Result #795379

Information on Result #795379

Digital (82, 152, 130)-net over F₄, using trace code for nets based on digital (6, 76, 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 (82, 151, 130)-net over F₄	[i]	m-Reduction
2	Digital (82, 150, 130)-net over F₄	[i]
3	Digital (82, 149, 130)-net over F₄	[i]
4	Digital (82, 148, 130)-net over F₄	[i]
5	Digital (82, 147, 130)-net over F₄	[i]
6	Digital (82, 146, 130)-net over F₄	[i]
7	Digital (82, 145, 130)-net over F₄	[i]
8	Digital (82, 144, 130)-net over F₄	[i]
9	Digital (82, 143, 130)-net over F₄	[i]
10	Digital (82, 142, 130)-net over F₄	[i]
11	Digital (82, 141, 130)-net over F₄	[i]
12	Digital (82, 140, 130)-net over F₄	[i]
13	Digital (82, 139, 130)-net over F₄	[i]
14	Digital (82, 138, 130)-net over F₄	[i]
15	Digital (82, 137, 130)-net over F₄	[i]
16	Digital (82, 136, 130)-net over F₄	[i]
17	Digital (82, 135, 130)-net over F₄	[i]
18	Digital (82, 134, 130)-net over F₄	[i]
19	Digital (82, 133, 130)-net over F₄	[i]
20	Digital (82, 132, 130)-net over F₄	[i]
21	Digital (82, 131, 130)-net over F₄	[i]
22	Digital (82, 130, 130)-net over F₄	[i]
23	Digital (117, 187, 135)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
24	Digital (118, 188, 139)-net over F₄	[i]
25	Digital (119, 189, 140)-net over F₄	[i]
26	Digital (120, 190, 144)-net over F₄	[i]
27	Digital (121, 191, 145)-net over F₄	[i]
28	Digital (122, 192, 147)-net over F₄	[i]
29	Digital (124, 194, 151)-net over F₄	[i]
30	Digital (126, 196, 152)-net over F₄	[i]
31	Digital (127, 197, 157)-net over F₄	[i]
32	Digital (129, 199, 158)-net over F₄	[i]
33	Digital (130, 200, 160)-net over F₄	[i]
34	Digital (132, 202, 163)-net over F₄	[i]
35	Digital (138, 208, 164)-net over F₄	[i]
36	Linear OOA(4¹⁵², 130, F₄, 2, 70) (dual of [(130, 2), 108, 71]-NRT-code)	[i]	Extracting Embedded OOA
37	Linear OOA(4¹⁵², 130, F₄, 3, 70) (dual of [(130, 3), 238, 71]-NRT-code)	[i]	Extracting Embedded OOA