MinT - Information on Result #798442

Information on Result #798442

Digital (61, 108, 354)-net over F₈, using trace code for nets based on digital (7, 54, 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 (61, 107, 354)-net over F₈	[i]		m-Reduction
2	Digital (61, 106, 354)-net over F₈	[i]
3	Digital (61, 105, 354)-net over F₈	[i]
4	Digital (61, 104, 354)-net over F₈	[i]
5	Digital (61, 103, 354)-net over F₈	[i]
6	Digital (61, 102, 354)-net over F₈	[i]
7	Digital (61, 101, 354)-net over F₈	[i]
8	Digital (61, 100, 354)-net over F₈	[i]
9	Digital (61, 99, 354)-net over F₈	[i]
10	Digital (61, 98, 354)-net over F₈	[i]
11	Digital (61, 97, 354)-net over F₈	[i]
12	Digital (61, 96, 354)-net over F₈	[i]
13	Digital (61, 95, 354)-net over F₈	[i]
14	Digital (61, 94, 354)-net over F₈	[i]
15	Digital (61, 93, 354)-net over F₈	[i]
16	Digital (84, 131, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
17	Digital (85, 132, 368)-net over F₈	[i]
18	Digital (86, 133, 371)-net over F₈	[i]
19	Digital (87, 134, 378)-net over F₈	[i]
20	Digital (88, 135, 379)-net over F₈	[i]
21	Digital (89, 136, 382)-net over F₈	[i]
22	Digital (91, 138, 388)-net over F₈	[i]
23	Digital (92, 139, 389)-net over F₈	[i]
24	Digital (93, 140, 399)-net over F₈	[i]
25	Digital (94, 141, 400)-net over F₈	[i]
26	Digital (95, 142, 402)-net over F₈	[i]
27	Digital (98, 145, 419)-net over F₈	[i]
28	Linear OOA(8¹⁰⁸, 354, F₈, 2, 47) (dual of [(354, 2), 600, 48]-NRT-code)	[i]		Extracting Embedded OOA
29	Linear OOA(8¹⁰⁸, 354, F₈, 3, 47) (dual of [(354, 3), 954, 48]-NRT-code)	[i]		Extracting Embedded OOA