MinT - Information on Result #798502

Information on Result #798502

Digital (71, 128, 354)-net over F₈, using trace code for nets based on digital (7, 64, 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 (71, 127, 354)-net over F₈	[i]		m-Reduction
2	Digital (71, 126, 354)-net over F₈	[i]
3	Digital (71, 125, 354)-net over F₈	[i]
4	Digital (71, 124, 354)-net over F₈	[i]
5	Digital (71, 123, 354)-net over F₈	[i]
6	Digital (71, 122, 354)-net over F₈	[i]
7	Digital (71, 121, 354)-net over F₈	[i]
8	Digital (71, 120, 354)-net over F₈	[i]
9	Digital (71, 119, 354)-net over F₈	[i]
10	Digital (71, 118, 354)-net over F₈	[i]
11	Digital (71, 117, 354)-net over F₈	[i]
12	Digital (71, 116, 354)-net over F₈	[i]
13	Digital (71, 115, 354)-net over F₈	[i]
14	Digital (71, 114, 354)-net over F₈	[i]
15	Digital (71, 113, 354)-net over F₈	[i]
16	Digital (71, 112, 354)-net over F₈	[i]
17	Digital (71, 111, 354)-net over F₈	[i]
18	Digital (71, 110, 354)-net over F₈	[i]
19	Digital (99, 156, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
20	Digital (100, 157, 368)-net over F₈	[i]
21	Digital (101, 158, 371)-net over F₈	[i]
22	Digital (102, 159, 378)-net over F₈	[i]
23	Digital (103, 160, 379)-net over F₈	[i]
24	Digital (104, 161, 382)-net over F₈	[i]
25	Digital (106, 163, 388)-net over F₈	[i]
26	Digital (107, 164, 389)-net over F₈	[i]
27	Digital (108, 165, 399)-net over F₈	[i]
28	Digital (109, 166, 400)-net over F₈	[i]
29	Digital (110, 167, 402)-net over F₈	[i]
30	Linear OOA(8¹²⁸, 354, F₈, 2, 57) (dual of [(354, 2), 580, 58]-NRT-code)	[i]		Extracting Embedded OOA
31	Linear OOA(8¹²⁸, 354, F₈, 3, 57) (dual of [(354, 3), 934, 58]-NRT-code)	[i]		Extracting Embedded OOA