MinT - Information on Result #795241

Information on Result #795241

Digital (58, 104, 130)-net over F₄, using trace code for nets based on digital (6, 52, 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		This result only	Method
1	Digital (58, 103, 130)-net over F₄	[i]		m-Reduction
2	Digital (58, 102, 130)-net over F₄	[i]
3	Digital (58, 101, 130)-net over F₄	[i]
4	Digital (58, 100, 130)-net over F₄	[i]
5	Digital (58, 99, 130)-net over F₄	[i]
6	Digital (58, 98, 130)-net over F₄	[i]
7	Digital (58, 97, 130)-net over F₄	[i]
8	Digital (58, 96, 130)-net over F₄	[i]
9	Digital (58, 95, 130)-net over F₄	[i]
10	Digital (58, 94, 130)-net over F₄	[i]
11	Digital (58, 93, 130)-net over F₄	[i]
12	Digital (58, 92, 130)-net over F₄	[i]
13	Digital (58, 91, 130)-net over F₄	[i]
14	Digital (58, 90, 130)-net over F₄	[i]
15	Digital (81, 127, 135)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
16	Digital (82, 128, 139)-net over F₄	[i]
17	Digital (83, 129, 140)-net over F₄	[i]
18	Digital (84, 130, 144)-net over F₄	[i]
19	Digital (85, 131, 145)-net over F₄	[i]
20	Digital (86, 132, 147)-net over F₄	[i]
21	Digital (88, 134, 151)-net over F₄	[i]
22	Digital (90, 136, 152)-net over F₄	[i]
23	Digital (91, 137, 157)-net over F₄	[i]
24	Linear OOA(4¹⁰⁴, 130, F₄, 2, 46) (dual of [(130, 2), 156, 47]-NRT-code)	[i]		Extracting Embedded OOA
25	Linear OOA(4¹⁰⁴, 130, F₄, 3, 46) (dual of [(130, 3), 286, 47]-NRT-code)	[i]		Extracting Embedded OOA