MinT - Information on Result #795236

Information on Result #795236

Digital (57, 102, 130)-net over F₄, using trace code for nets based on digital (6, 51, 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 (57, 101, 130)-net over F₄	[i]		m-Reduction
2	Digital (57, 100, 130)-net over F₄	[i]
3	Digital (57, 99, 130)-net over F₄	[i]
4	Digital (57, 98, 130)-net over F₄	[i]
5	Digital (57, 97, 130)-net over F₄	[i]
6	Digital (57, 96, 130)-net over F₄	[i]
7	Digital (57, 95, 130)-net over F₄	[i]
8	Digital (57, 94, 130)-net over F₄	[i]
9	Digital (57, 93, 130)-net over F₄	[i]
10	Digital (57, 92, 130)-net over F₄	[i]
11	Digital (57, 91, 130)-net over F₄	[i]
12	Digital (57, 90, 130)-net over F₄	[i]
13	Digital (57, 89, 130)-net over F₄	[i]
14	Digital (57, 88, 130)-net over F₄	[i]
15	Digital (79, 124, 135)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
16	Digital (80, 125, 139)-net over F₄	[i]
17	Digital (81, 126, 140)-net over F₄	[i]
18	Digital (82, 127, 144)-net over F₄	[i]
19	Digital (83, 128, 145)-net over F₄	[i]
20	Digital (84, 129, 147)-net over F₄	[i]
21	Digital (86, 131, 151)-net over F₄	[i]
22	Digital (88, 133, 152)-net over F₄	[i]
23	Digital (89, 134, 157)-net over F₄	[i]
24	Linear OOA(4¹⁰², 130, F₄, 2, 45) (dual of [(130, 2), 158, 46]-NRT-code)	[i]		Extracting Embedded OOA
25	Linear OOA(4¹⁰², 130, F₄, 3, 45) (dual of [(130, 3), 288, 46]-NRT-code)	[i]		Extracting Embedded OOA