MinT - Information on Result #798406

Information on Result #798406

Digital (55, 96, 354)-net over F₈, using trace code for nets based on digital (7, 48, 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 (55, 95, 354)-net over F₈	[i]		m-Reduction
2	Digital (55, 94, 354)-net over F₈	[i]
3	Digital (55, 93, 354)-net over F₈	[i]
4	Digital (55, 92, 354)-net over F₈	[i]
5	Digital (55, 91, 354)-net over F₈	[i]
6	Digital (55, 90, 354)-net over F₈	[i]
7	Digital (55, 89, 354)-net over F₈	[i]
8	Digital (55, 88, 354)-net over F₈	[i]
9	Digital (55, 87, 354)-net over F₈	[i]
10	Digital (55, 86, 354)-net over F₈	[i]
11	Digital (55, 85, 354)-net over F₈	[i]
12	Digital (55, 84, 354)-net over F₈	[i]
13	Digital (55, 83, 354)-net over F₈	[i]
14	Digital (75, 116, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
15	Digital (76, 117, 368)-net over F₈	[i]
16	Digital (77, 118, 371)-net over F₈	[i]
17	Digital (78, 119, 378)-net over F₈	[i]
18	Digital (79, 120, 379)-net over F₈	[i]
19	Digital (80, 121, 382)-net over F₈	[i]
20	Digital (82, 123, 388)-net over F₈	[i]
21	Digital (83, 124, 389)-net over F₈	[i]
22	Digital (84, 125, 399)-net over F₈	[i]
23	Digital (85, 126, 400)-net over F₈	[i]
24	Digital (86, 127, 402)-net over F₈	[i]
25	Digital (89, 130, 419)-net over F₈	[i]
26	Digital (95, 136, 484)-net over F₈	[i]
27	Linear OOA(8⁹⁶, 354, F₈, 2, 41) (dual of [(354, 2), 612, 42]-NRT-code)	[i]		Extracting Embedded OOA
28	Linear OOA(8⁹⁶, 354, F₈, 3, 41) (dual of [(354, 3), 966, 42]-NRT-code)	[i]		Extracting Embedded OOA