MinT - Information on Result #798532

Information on Result #798532

Digital (76, 138, 354)-net over F₈, using trace code for nets based on digital (7, 69, 177)-net over F₆₄, using

net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [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 (76, 137, 354)-net over F₈	[i]		m-Reduction
2	Digital (76, 136, 354)-net over F₈	[i]
3	Digital (76, 135, 354)-net over F₈	[i]
4	Digital (76, 134, 354)-net over F₈	[i]
5	Digital (76, 133, 354)-net over F₈	[i]
6	Digital (76, 132, 354)-net over F₈	[i]
7	Digital (76, 131, 354)-net over F₈	[i]
8	Digital (76, 130, 354)-net over F₈	[i]
9	Digital (76, 129, 354)-net over F₈	[i]
10	Digital (76, 128, 354)-net over F₈	[i]
11	Digital (76, 127, 354)-net over F₈	[i]
12	Digital (76, 126, 354)-net over F₈	[i]
13	Digital (76, 125, 354)-net over F₈	[i]
14	Digital (76, 124, 354)-net over F₈	[i]
15	Digital (76, 123, 354)-net over F₈	[i]
16	Digital (76, 122, 354)-net over F₈	[i]
17	Digital (76, 121, 354)-net over F₈	[i]
18	Digital (76, 120, 354)-net over F₈	[i]
19	Digital (76, 119, 354)-net over F₈	[i]
20	Digital (76, 118, 354)-net over F₈	[i]
21	Digital (107, 169, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
22	Digital (108, 170, 368)-net over F₈	[i]
23	Digital (109, 171, 371)-net over F₈	[i]
24	Digital (110, 172, 378)-net over F₈	[i]
25	Digital (111, 173, 379)-net over F₈	[i]
26	Linear OOA(8¹³⁸, 354, F₈, 2, 62) (dual of [(354, 2), 570, 63]-NRT-code)	[i]		Extracting Embedded OOA
27	Linear OOA(8¹³⁸, 354, F₈, 3, 62) (dual of [(354, 3), 924, 63]-NRT-code)	[i]		Extracting Embedded OOA