MinT - Information on Result #798460

Information on Result #798460

Digital (64, 114, 354)-net over F₈, using trace code for nets based on digital (7, 57, 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 (64, 113, 354)-net over F₈	[i]		m-Reduction
2	Digital (64, 112, 354)-net over F₈	[i]
3	Digital (64, 111, 354)-net over F₈	[i]
4	Digital (64, 110, 354)-net over F₈	[i]
5	Digital (64, 109, 354)-net over F₈	[i]
6	Digital (64, 108, 354)-net over F₈	[i]
7	Digital (64, 107, 354)-net over F₈	[i]
8	Digital (64, 106, 354)-net over F₈	[i]
9	Digital (64, 105, 354)-net over F₈	[i]
10	Digital (64, 104, 354)-net over F₈	[i]
11	Digital (64, 103, 354)-net over F₈	[i]
12	Digital (64, 102, 354)-net over F₈	[i]
13	Digital (64, 101, 354)-net over F₈	[i]
14	Digital (64, 100, 354)-net over F₈	[i]
15	Digital (64, 99, 354)-net over F₈	[i]
16	Digital (64, 98, 354)-net over F₈	[i]
17	Digital (89, 139, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
18	Digital (90, 140, 368)-net over F₈	[i]
19	Digital (91, 141, 371)-net over F₈	[i]
20	Digital (92, 142, 378)-net over F₈	[i]
21	Digital (93, 143, 379)-net over F₈	[i]
22	Digital (94, 144, 382)-net over F₈	[i]
23	Digital (96, 146, 388)-net over F₈	[i]
24	Digital (97, 147, 389)-net over F₈	[i]
25	Digital (98, 148, 399)-net over F₈	[i]
26	Digital (99, 149, 400)-net over F₈	[i]
27	Digital (100, 150, 402)-net over F₈	[i]
28	Digital (103, 153, 419)-net over F₈	[i]
29	Linear OOA(8¹¹⁴, 354, F₈, 2, 50) (dual of [(354, 2), 594, 51]-NRT-code)	[i]		Extracting Embedded OOA
30	Linear OOA(8¹¹⁴, 354, F₈, 3, 50) (dual of [(354, 3), 948, 51]-NRT-code)	[i]		Extracting Embedded OOA