MinT - Information on Result #798346

Information on Result #798346

Digital (45, 76, 354)-net over F₈, using trace code for nets based on digital (7, 38, 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 (45, 75, 354)-net over F₈	[i]		m-Reduction
2	Digital (45, 74, 354)-net over F₈	[i]
3	Digital (45, 73, 354)-net over F₈	[i]
4	Digital (45, 72, 354)-net over F₈	[i]
5	Digital (45, 71, 354)-net over F₈	[i]
6	Digital (45, 70, 354)-net over F₈	[i]
7	Digital (45, 69, 354)-net over F₈	[i]
8	Digital (45, 68, 354)-net over F₈	[i]
9	Digital (45, 67, 354)-net over F₈	[i]
10	Digital (60, 91, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
11	Digital (61, 92, 368)-net over F₈	[i]
12	Digital (62, 93, 371)-net over F₈	[i]
13	Digital (63, 94, 378)-net over F₈	[i]
14	Digital (64, 95, 379)-net over F₈	[i]
15	Digital (65, 96, 382)-net over F₈	[i]
16	Digital (67, 98, 388)-net over F₈	[i]
17	Digital (68, 99, 389)-net over F₈	[i]
18	Digital (69, 100, 399)-net over F₈	[i]
19	Digital (70, 101, 400)-net over F₈	[i]
20	Digital (71, 102, 402)-net over F₈	[i]
21	Digital (74, 105, 419)-net over F₈	[i]
22	Digital (75, 106, 484)-net over F₈	[i]
23	Digital (77, 108, 514)-net over F₈	[i]
24	Digital (81, 112, 562)-net over F₈	[i]
25	Digital (85, 116, 610)-net over F₈	[i]
26	(81, 112, 612)-net in base 8	[i]
27	(83, 114, 654)-net in base 8	[i]
28	(85, 116, 708)-net in base 8	[i]
29	Linear OOA(8⁷⁶, 354, F₈, 2, 31) (dual of [(354, 2), 632, 32]-NRT-code)	[i]		Extracting Embedded OOA
30	Linear OOA(8⁷⁶, 354, F₈, 3, 31) (dual of [(354, 3), 986, 32]-NRT-code)	[i]		Extracting Embedded OOA