MinT - Information on Result #798328

Information on Result #798328

Digital (42, 70, 354)-net over F₈, using trace code for nets based on digital (7, 35, 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 (42, 69, 354)-net over F₈	[i]		m-Reduction
2	Digital (42, 68, 354)-net over F₈	[i]
3	Digital (42, 67, 354)-net over F₈	[i]
4	Digital (42, 66, 354)-net over F₈	[i]
5	Digital (42, 65, 354)-net over F₈	[i]
6	Digital (42, 64, 354)-net over F₈	[i]
7	Digital (42, 63, 354)-net over F₈	[i]
8	Digital (42, 62, 354)-net over F₈	[i]
9	Digital (56, 84, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
10	Digital (57, 85, 368)-net over F₈	[i]
11	Digital (58, 86, 371)-net over F₈	[i]
12	Digital (59, 87, 378)-net over F₈	[i]
13	Digital (60, 88, 379)-net over F₈	[i]
14	Digital (61, 89, 382)-net over F₈	[i]
15	Digital (63, 91, 388)-net over F₈	[i]
16	Digital (64, 92, 389)-net over F₈	[i]
17	Digital (65, 93, 399)-net over F₈	[i]
18	Digital (66, 94, 400)-net over F₈	[i]
19	Digital (67, 95, 402)-net over F₈	[i]
20	Digital (69, 97, 419)-net over F₈	[i]
21	Digital (70, 98, 484)-net over F₈	[i]
22	Digital (72, 100, 514)-net over F₈	[i]
23	Digital (76, 104, 562)-net over F₈	[i]
24	Digital (80, 108, 610)-net over F₈	[i]
25	(76, 104, 612)-net in base 8	[i]
26	(78, 106, 654)-net in base 8	[i]
27	(80, 108, 708)-net in base 8	[i]
28	Linear OOA(8⁷⁰, 354, F₈, 2, 28) (dual of [(354, 2), 638, 29]-NRT-code)	[i]		Extracting Embedded OOA
29	Linear OOA(8⁷⁰, 354, F₈, 3, 28) (dual of [(354, 3), 992, 29]-NRT-code)	[i]		Extracting Embedded OOA