MinT - Information on Result #798352

Information on Result #798352

Digital (46, 78, 354)-net over F₈, using trace code for nets based on digital (7, 39, 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 (46, 77, 354)-net over F₈	[i]		m-Reduction
2	Digital (46, 76, 354)-net over F₈	[i]
3	Digital (46, 75, 354)-net over F₈	[i]
4	Digital (46, 74, 354)-net over F₈	[i]
5	Digital (46, 73, 354)-net over F₈	[i]
6	Digital (46, 72, 354)-net over F₈	[i]
7	Digital (46, 71, 354)-net over F₈	[i]
8	Digital (46, 70, 354)-net over F₈	[i]
9	Digital (46, 69, 354)-net over F₈	[i]
10	Digital (46, 68, 354)-net over F₈	[i]
11	Digital (62, 94, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
12	Digital (63, 95, 368)-net over F₈	[i]
13	Digital (64, 96, 371)-net over F₈	[i]
14	Digital (65, 97, 378)-net over F₈	[i]
15	Digital (66, 98, 379)-net over F₈	[i]
16	Digital (67, 99, 382)-net over F₈	[i]
17	Digital (69, 101, 388)-net over F₈	[i]
18	Digital (70, 102, 389)-net over F₈	[i]
19	Digital (71, 103, 399)-net over F₈	[i]
20	Digital (72, 104, 400)-net over F₈	[i]
21	Digital (73, 105, 402)-net over F₈	[i]
22	Digital (76, 108, 419)-net over F₈	[i]
23	Digital (78, 110, 484)-net over F₈	[i]
24	Digital (80, 112, 514)-net over F₈	[i]
25	Digital (84, 116, 562)-net over F₈	[i]
26	(84, 116, 612)-net in base 8	[i]
27	(86, 118, 654)-net in base 8	[i]
28	Linear OOA(8⁷⁸, 354, F₈, 2, 32) (dual of [(354, 2), 630, 33]-NRT-code)	[i]		Extracting Embedded OOA
29	Linear OOA(8⁷⁸, 354, F₈, 3, 32) (dual of [(354, 3), 984, 33]-NRT-code)	[i]		Extracting Embedded OOA