MinT - Information on Result #798430

Information on Result #798430

Digital (59, 104, 354)-net over F₈, using trace code for nets based on digital (7, 52, 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 (59, 103, 354)-net over F₈	[i]		m-Reduction
2	Digital (59, 102, 354)-net over F₈	[i]
3	Digital (59, 101, 354)-net over F₈	[i]
4	Digital (59, 100, 354)-net over F₈	[i]
5	Digital (59, 99, 354)-net over F₈	[i]
6	Digital (59, 98, 354)-net over F₈	[i]
7	Digital (59, 97, 354)-net over F₈	[i]
8	Digital (59, 96, 354)-net over F₈	[i]
9	Digital (59, 95, 354)-net over F₈	[i]
10	Digital (59, 94, 354)-net over F₈	[i]
11	Digital (59, 93, 354)-net over F₈	[i]
12	Digital (59, 92, 354)-net over F₈	[i]
13	Digital (59, 91, 354)-net over F₈	[i]
14	Digital (59, 90, 354)-net over F₈	[i]
15	Digital (81, 126, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
16	Digital (82, 127, 368)-net over F₈	[i]
17	Digital (83, 128, 371)-net over F₈	[i]
18	Digital (84, 129, 378)-net over F₈	[i]
19	Digital (85, 130, 379)-net over F₈	[i]
20	Digital (86, 131, 382)-net over F₈	[i]
21	Digital (88, 133, 388)-net over F₈	[i]
22	Digital (89, 134, 389)-net over F₈	[i]
23	Digital (90, 135, 399)-net over F₈	[i]
24	Digital (91, 136, 400)-net over F₈	[i]
25	Digital (92, 137, 402)-net over F₈	[i]
26	Digital (95, 140, 419)-net over F₈	[i]
27	Linear OOA(8¹⁰⁴, 354, F₈, 2, 45) (dual of [(354, 2), 604, 46]-NRT-code)	[i]		Extracting Embedded OOA
28	Linear OOA(8¹⁰⁴, 354, F₈, 3, 45) (dual of [(354, 3), 958, 46]-NRT-code)	[i]		Extracting Embedded OOA