MinT - Information on Result #798382

Information on Result #798382

Digital (51, 88, 354)-net over F₈, using trace code for nets based on digital (7, 44, 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 (51, 87, 354)-net over F₈	[i]		m-Reduction
2	Digital (51, 86, 354)-net over F₈	[i]
3	Digital (51, 85, 354)-net over F₈	[i]
4	Digital (51, 84, 354)-net over F₈	[i]
5	Digital (51, 83, 354)-net over F₈	[i]
6	Digital (51, 82, 354)-net over F₈	[i]
7	Digital (51, 81, 354)-net over F₈	[i]
8	Digital (51, 80, 354)-net over F₈	[i]
9	Digital (51, 79, 354)-net over F₈	[i]
10	Digital (51, 78, 354)-net over F₈	[i]
11	Digital (51, 77, 354)-net over F₈	[i]
12	Digital (69, 106, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
13	Digital (70, 107, 368)-net over F₈	[i]
14	Digital (71, 108, 371)-net over F₈	[i]
15	Digital (72, 109, 378)-net over F₈	[i]
16	Digital (73, 110, 379)-net over F₈	[i]
17	Digital (74, 111, 382)-net over F₈	[i]
18	Digital (76, 113, 388)-net over F₈	[i]
19	Digital (77, 114, 389)-net over F₈	[i]
20	Digital (78, 115, 399)-net over F₈	[i]
21	Digital (79, 116, 400)-net over F₈	[i]
22	Digital (80, 117, 402)-net over F₈	[i]
23	Digital (83, 120, 419)-net over F₈	[i]
24	Digital (87, 124, 484)-net over F₈	[i]
25	Digital (89, 126, 514)-net over F₈	[i]
26	Linear OOA(8⁸⁸, 354, F₈, 2, 37) (dual of [(354, 2), 620, 38]-NRT-code)	[i]		Extracting Embedded OOA
27	Linear OOA(8⁸⁸, 354, F₈, 3, 37) (dual of [(354, 3), 974, 38]-NRT-code)	[i]		Extracting Embedded OOA