MinT - Information on Result #795173

Information on Result #795173

Digital (45, 78, 130)-net over F₄, using trace code for nets based on digital (6, 39, 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 (45, 77, 130)-net over F₄	[i]		m-Reduction
2	Digital (45, 76, 130)-net over F₄	[i]
3	Digital (45, 75, 130)-net over F₄	[i]
4	Digital (45, 74, 130)-net over F₄	[i]
5	Digital (45, 73, 130)-net over F₄	[i]
6	Digital (45, 72, 130)-net over F₄	[i]
7	Digital (45, 71, 130)-net over F₄	[i]
8	Digital (45, 70, 130)-net over F₄	[i]
9	Digital (45, 69, 130)-net over F₄	[i]
10	Digital (45, 68, 130)-net over F₄	[i]
11	Digital (61, 94, 135)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
12	Digital (62, 95, 139)-net over F₄	[i]
13	Digital (63, 96, 140)-net over F₄	[i]
14	Digital (64, 97, 144)-net over F₄	[i]
15	Digital (65, 98, 145)-net over F₄	[i]
16	Linear OOA(4⁷⁸, 130, F₄, 2, 33) (dual of [(130, 2), 182, 34]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(4⁷⁸, 130, F₄, 3, 33) (dual of [(130, 3), 312, 34]-NRT-code)	[i]		Extracting Embedded OOA