MinT - Information on Result #795309

Information on Result #795309

Digital (69, 126, 130)-net over F₄, using trace code for nets based on digital (6, 63, 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		Method
1	Digital (69, 125, 130)-net over F₄	[i]	m-Reduction
2	Digital (69, 124, 130)-net over F₄	[i]
3	Digital (69, 123, 130)-net over F₄	[i]
4	Digital (69, 122, 130)-net over F₄	[i]
5	Digital (69, 121, 130)-net over F₄	[i]
6	Digital (69, 120, 130)-net over F₄	[i]
7	Digital (69, 119, 130)-net over F₄	[i]
8	Digital (69, 118, 130)-net over F₄	[i]
9	Digital (69, 117, 130)-net over F₄	[i]
10	Digital (69, 116, 130)-net over F₄	[i]
11	Digital (69, 115, 130)-net over F₄	[i]
12	Digital (69, 114, 130)-net over F₄	[i]
13	Digital (69, 113, 130)-net over F₄	[i]
14	Digital (69, 112, 130)-net over F₄	[i]
15	Digital (69, 111, 130)-net over F₄	[i]
16	Digital (69, 110, 130)-net over F₄	[i]
17	Digital (69, 109, 130)-net over F₄	[i]
18	Digital (69, 108, 130)-net over F₄	[i]
19	Digital (97, 154, 135)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
20	Digital (98, 155, 139)-net over F₄	[i]
21	Digital (99, 156, 140)-net over F₄	[i]
22	Digital (100, 157, 144)-net over F₄	[i]
23	Digital (101, 158, 145)-net over F₄	[i]
24	Digital (102, 159, 147)-net over F₄	[i]
25	Digital (104, 161, 151)-net over F₄	[i]
26	Digital (106, 163, 152)-net over F₄	[i]
27	Digital (107, 164, 157)-net over F₄	[i]
28	Digital (109, 166, 158)-net over F₄	[i]
29	Digital (110, 167, 160)-net over F₄	[i]
30	Digital (112, 169, 163)-net over F₄	[i]
31	Linear OOA(4¹²⁶, 130, F₄, 2, 57) (dual of [(130, 2), 134, 58]-NRT-code)	[i]	Extracting Embedded OOA
32	Linear OOA(4¹²⁶, 130, F₄, 3, 57) (dual of [(130, 3), 264, 58]-NRT-code)	[i]	Extracting Embedded OOA