MinT - Information on Result #795247

Information on Result #795247

Digital (59, 106, 130)-net over F₄, using trace code for nets based on digital (6, 53, 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 (59, 105, 130)-net over F₄	[i]		m-Reduction
2	Digital (59, 104, 130)-net over F₄	[i]
3	Digital (59, 103, 130)-net over F₄	[i]
4	Digital (59, 102, 130)-net over F₄	[i]
5	Digital (59, 101, 130)-net over F₄	[i]
6	Digital (59, 100, 130)-net over F₄	[i]
7	Digital (59, 99, 130)-net over F₄	[i]
8	Digital (59, 98, 130)-net over F₄	[i]
9	Digital (59, 97, 130)-net over F₄	[i]
10	Digital (59, 96, 130)-net over F₄	[i]
11	Digital (59, 95, 130)-net over F₄	[i]
12	Digital (59, 94, 130)-net over F₄	[i]
13	Digital (59, 93, 130)-net over F₄	[i]
14	Digital (59, 92, 130)-net over F₄	[i]
15	Digital (59, 91, 130)-net over F₄	[i]
16	Digital (82, 129, 135)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
17	Digital (83, 130, 139)-net over F₄	[i]
18	Digital (84, 131, 140)-net over F₄	[i]
19	Digital (85, 132, 144)-net over F₄	[i]
20	Digital (86, 133, 145)-net over F₄	[i]
21	Digital (87, 134, 147)-net over F₄	[i]
22	Digital (89, 136, 151)-net over F₄	[i]
23	Digital (91, 138, 152)-net over F₄	[i]
24	Digital (92, 139, 157)-net over F₄	[i]
25	Linear OOA(4¹⁰⁶, 130, F₄, 2, 47) (dual of [(130, 2), 154, 48]-NRT-code)	[i]		Extracting Embedded OOA
26	Linear OOA(4¹⁰⁶, 130, F₄, 3, 47) (dual of [(130, 3), 284, 48]-NRT-code)	[i]		Extracting Embedded OOA