MinT - Information on Result #798322

Information on Result #798322

Digital (41, 68, 354)-net over F₈, using trace code for nets based on digital (7, 34, 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 (41, 67, 354)-net over F₈	[i]		m-Reduction
2	Digital (41, 66, 354)-net over F₈	[i]
3	Digital (41, 65, 354)-net over F₈	[i]
4	Digital (41, 64, 354)-net over F₈	[i]
5	Digital (41, 63, 354)-net over F₈	[i]
6	Digital (41, 62, 354)-net over F₈	[i]
7	Digital (41, 61, 354)-net over F₈	[i]
8	Digital (41, 60, 354)-net over F₈	[i]
9	Digital (54, 81, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
10	Digital (55, 82, 368)-net over F₈	[i]
11	Digital (56, 83, 371)-net over F₈	[i]
12	Digital (57, 84, 378)-net over F₈	[i]
13	Digital (58, 85, 379)-net over F₈	[i]
14	Digital (59, 86, 382)-net over F₈	[i]
15	Digital (61, 88, 388)-net over F₈	[i]
16	Digital (62, 89, 389)-net over F₈	[i]
17	Digital (63, 90, 399)-net over F₈	[i]
18	Digital (64, 91, 400)-net over F₈	[i]
19	Digital (66, 93, 419)-net over F₈	[i]
20	Digital (67, 94, 484)-net over F₈	[i]
21	Digital (69, 96, 514)-net over F₈	[i]
22	Digital (73, 100, 562)-net over F₈	[i]
23	Digital (77, 104, 610)-net over F₈	[i]
24	Digital (81, 108, 708)-net over F₈	[i]
25	(73, 100, 612)-net in base 8	[i]
26	(75, 102, 654)-net in base 8	[i]
27	(77, 104, 708)-net in base 8	[i]
28	Linear OOA(8⁶⁸, 354, F₈, 2, 27) (dual of [(354, 2), 640, 28]-NRT-code)	[i]		Extracting Embedded OOA
29	Linear OOA(8⁶⁸, 354, F₈, 3, 27) (dual of [(354, 3), 994, 28]-NRT-code)	[i]		Extracting Embedded OOA