MinT - Information on Result #798538

Information on Result #798538

Digital (77, 140, 354)-net over F₈, using trace code for nets based on digital (7, 70, 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 (77, 139, 354)-net over F₈	[i]		m-Reduction
2	Digital (77, 138, 354)-net over F₈	[i]
3	Digital (77, 137, 354)-net over F₈	[i]
4	Digital (77, 136, 354)-net over F₈	[i]
5	Digital (77, 135, 354)-net over F₈	[i]
6	Digital (77, 134, 354)-net over F₈	[i]
7	Digital (77, 133, 354)-net over F₈	[i]
8	Digital (77, 132, 354)-net over F₈	[i]
9	Digital (77, 131, 354)-net over F₈	[i]
10	Digital (77, 130, 354)-net over F₈	[i]
11	Digital (77, 129, 354)-net over F₈	[i]
12	Digital (77, 128, 354)-net over F₈	[i]
13	Digital (77, 127, 354)-net over F₈	[i]
14	Digital (77, 126, 354)-net over F₈	[i]
15	Digital (77, 125, 354)-net over F₈	[i]
16	Digital (77, 124, 354)-net over F₈	[i]
17	Digital (77, 123, 354)-net over F₈	[i]
18	Digital (77, 122, 354)-net over F₈	[i]
19	Digital (77, 121, 354)-net over F₈	[i]
20	Digital (77, 120, 354)-net over F₈	[i]
21	Digital (108, 171, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
22	Digital (109, 172, 368)-net over F₈	[i]
23	Digital (110, 173, 371)-net over F₈	[i]
24	Linear OOA(8¹⁴⁰, 354, F₈, 2, 63) (dual of [(354, 2), 568, 64]-NRT-code)	[i]		Extracting Embedded OOA
25	Linear OOA(8¹⁴⁰, 354, F₈, 3, 63) (dual of [(354, 3), 922, 64]-NRT-code)	[i]		Extracting Embedded OOA
26	(53, 84, 354)-net in base 32	[i]		Base Change