MinT - Information on Result #798412

Information on Result #798412

Digital (56, 98, 354)-net over F₈, using trace code for nets based on digital (7, 49, 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 (56, 97, 354)-net over F₈	[i]		m-Reduction
2	Digital (56, 96, 354)-net over F₈	[i]
3	Digital (56, 95, 354)-net over F₈	[i]
4	Digital (56, 94, 354)-net over F₈	[i]
5	Digital (56, 93, 354)-net over F₈	[i]
6	Digital (56, 92, 354)-net over F₈	[i]
7	Digital (56, 91, 354)-net over F₈	[i]
8	Digital (56, 90, 354)-net over F₈	[i]
9	Digital (56, 89, 354)-net over F₈	[i]
10	Digital (56, 88, 354)-net over F₈	[i]
11	Digital (56, 87, 354)-net over F₈	[i]
12	Digital (56, 86, 354)-net over F₈	[i]
13	Digital (56, 85, 354)-net over F₈	[i]
14	Digital (77, 119, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
15	Digital (78, 120, 368)-net over F₈	[i]
16	Digital (79, 121, 371)-net over F₈	[i]
17	Digital (80, 122, 378)-net over F₈	[i]
18	Digital (81, 123, 379)-net over F₈	[i]
19	Digital (82, 124, 382)-net over F₈	[i]
20	Digital (84, 126, 388)-net over F₈	[i]
21	Digital (85, 127, 389)-net over F₈	[i]
22	Digital (86, 128, 399)-net over F₈	[i]
23	Digital (87, 129, 400)-net over F₈	[i]
24	Digital (88, 130, 402)-net over F₈	[i]
25	Digital (91, 133, 419)-net over F₈	[i]
26	Linear OOA(8⁹⁸, 354, F₈, 2, 42) (dual of [(354, 2), 610, 43]-NRT-code)	[i]		Extracting Embedded OOA
27	Linear OOA(8⁹⁸, 354, F₈, 3, 42) (dual of [(354, 3), 964, 43]-NRT-code)	[i]		Extracting Embedded OOA