MinT - Information on Result #798424

Information on Result #798424

Digital (58, 102, 354)-net over F₈, using trace code for nets based on digital (7, 51, 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 (58, 101, 354)-net over F₈	[i]		m-Reduction
2	Digital (58, 100, 354)-net over F₈	[i]
3	Digital (58, 99, 354)-net over F₈	[i]
4	Digital (58, 98, 354)-net over F₈	[i]
5	Digital (58, 97, 354)-net over F₈	[i]
6	Digital (58, 96, 354)-net over F₈	[i]
7	Digital (58, 95, 354)-net over F₈	[i]
8	Digital (58, 94, 354)-net over F₈	[i]
9	Digital (58, 93, 354)-net over F₈	[i]
10	Digital (58, 92, 354)-net over F₈	[i]
11	Digital (58, 91, 354)-net over F₈	[i]
12	Digital (58, 90, 354)-net over F₈	[i]
13	Digital (58, 89, 354)-net over F₈	[i]
14	Digital (58, 88, 354)-net over F₈	[i]
15	Digital (80, 124, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
16	Digital (81, 125, 368)-net over F₈	[i]
17	Digital (82, 126, 371)-net over F₈	[i]
18	Digital (83, 127, 378)-net over F₈	[i]
19	Digital (84, 128, 379)-net over F₈	[i]
20	Digital (85, 129, 382)-net over F₈	[i]
21	Digital (87, 131, 388)-net over F₈	[i]
22	Digital (88, 132, 389)-net over F₈	[i]
23	Digital (89, 133, 399)-net over F₈	[i]
24	Digital (90, 134, 400)-net over F₈	[i]
25	Digital (91, 135, 402)-net over F₈	[i]
26	Digital (94, 138, 419)-net over F₈	[i]
27	Linear OOA(8¹⁰², 354, F₈, 2, 44) (dual of [(354, 2), 606, 45]-NRT-code)	[i]		Extracting Embedded OOA
28	Linear OOA(8¹⁰², 354, F₈, 3, 44) (dual of [(354, 3), 960, 45]-NRT-code)	[i]		Extracting Embedded OOA