MinT - Information on Result #798316

Information on Result #798316

Digital (40, 66, 354)-net over F₈, using trace code for nets based on digital (7, 33, 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 (40, 65, 354)-net over F₈	[i]		m-Reduction
2	Digital (40, 64, 354)-net over F₈	[i]
3	Digital (40, 63, 354)-net over F₈	[i]
4	Digital (40, 62, 354)-net over F₈	[i]
5	Digital (40, 61, 354)-net over F₈	[i]
6	Digital (40, 60, 354)-net over F₈	[i]
7	Digital (40, 59, 354)-net over F₈	[i]
8	Digital (40, 58, 354)-net over F₈	[i]
9	Digital (53, 79, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
10	Digital (54, 80, 368)-net over F₈	[i]
11	Digital (55, 81, 371)-net over F₈	[i]
12	Digital (56, 82, 378)-net over F₈	[i]
13	Digital (57, 83, 379)-net over F₈	[i]
14	Digital (58, 84, 382)-net over F₈	[i]
15	Digital (60, 86, 388)-net over F₈	[i]
16	Digital (61, 87, 389)-net over F₈	[i]
17	Digital (62, 88, 399)-net over F₈	[i]
18	Digital (63, 89, 400)-net over F₈	[i]
19	Digital (65, 91, 419)-net over F₈	[i]
20	Digital (66, 92, 484)-net over F₈	[i]
21	Digital (68, 94, 514)-net over F₈	[i]
22	Digital (72, 98, 562)-net over F₈	[i]
23	Digital (80, 106, 708)-net over F₈	[i]
24	(74, 100, 654)-net in base 8	[i]
25	(76, 102, 708)-net in base 8	[i]
26	Linear OOA(8⁶⁶, 354, F₈, 2, 26) (dual of [(354, 2), 642, 27]-NRT-code)	[i]		Extracting Embedded OOA
27	Linear OOA(8⁶⁶, 354, F₈, 3, 26) (dual of [(354, 3), 996, 27]-NRT-code)	[i]		Extracting Embedded OOA