MinT - Information on Result #798304

Information on Result #798304

Digital (38, 62, 354)-net over F₈, using trace code for nets based on digital (7, 31, 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 (38, 61, 354)-net over F₈	[i]		m-Reduction
2	Digital (38, 60, 354)-net over F₈	[i]
3	Digital (38, 59, 354)-net over F₈	[i]
4	Digital (38, 58, 354)-net over F₈	[i]
5	Digital (38, 57, 354)-net over F₈	[i]
6	Digital (38, 56, 354)-net over F₈	[i]
7	Digital (38, 55, 354)-net over F₈	[i]
8	Digital (50, 74, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
9	Digital (51, 75, 368)-net over F₈	[i]
10	Digital (52, 76, 371)-net over F₈	[i]
11	Digital (53, 77, 378)-net over F₈	[i]
12	Digital (54, 78, 379)-net over F₈	[i]
13	Digital (55, 79, 382)-net over F₈	[i]
14	Digital (57, 81, 388)-net over F₈	[i]
15	Digital (58, 82, 389)-net over F₈	[i]
16	Digital (59, 83, 399)-net over F₈	[i]
17	Digital (61, 85, 419)-net over F₈	[i]
18	Digital (62, 86, 484)-net over F₈	[i]
19	Digital (64, 88, 514)-net over F₈	[i]
20	Digital (68, 92, 562)-net over F₈	[i]
21	Digital (76, 100, 708)-net over F₈	[i]
22	(66, 90, 612)-net in base 8	[i]
23	(70, 94, 708)-net in base 8	[i]
24	Linear OOA(8⁶², 354, F₈, 2, 24) (dual of [(354, 2), 646, 25]-NRT-code)	[i]		Extracting Embedded OOA
25	Linear OOA(8⁶², 354, F₈, 3, 24) (dual of [(354, 3), 1000, 25]-NRT-code)	[i]		Extracting Embedded OOA