MinT - Information on Result #795198

Information on Result #795198

Digital (50, 88, 130)-net over F₄, using trace code for nets based on digital (6, 44, 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 (50, 87, 130)-net over F₄	[i]		m-Reduction
2	Digital (50, 86, 130)-net over F₄	[i]
3	Digital (50, 85, 130)-net over F₄	[i]
4	Digital (50, 84, 130)-net over F₄	[i]
5	Digital (50, 83, 130)-net over F₄	[i]
6	Digital (50, 82, 130)-net over F₄	[i]
7	Digital (50, 81, 130)-net over F₄	[i]
8	Digital (50, 80, 130)-net over F₄	[i]
9	Digital (50, 79, 130)-net over F₄	[i]
10	Digital (50, 78, 130)-net over F₄	[i]
11	Digital (50, 77, 130)-net over F₄	[i]
12	Digital (50, 76, 130)-net over F₄	[i]
13	Digital (69, 107, 135)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
14	Digital (70, 108, 139)-net over F₄	[i]
15	Digital (71, 109, 140)-net over F₄	[i]
16	Digital (72, 110, 144)-net over F₄	[i]
17	Digital (73, 111, 145)-net over F₄	[i]
18	Digital (74, 112, 147)-net over F₄	[i]
19	Linear OOA(4⁸⁸, 130, F₄, 2, 38) (dual of [(130, 2), 172, 39]-NRT-code)	[i]		Extracting Embedded OOA
20	Linear OOA(4⁸⁸, 130, F₄, 3, 38) (dual of [(130, 3), 302, 39]-NRT-code)	[i]		Extracting Embedded OOA