MinT - Information on Result #798568

Information on Result #798568

Digital (82, 150, 354)-net over F₈, using trace code for nets based on digital (7, 75, 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 (82, 149, 354)-net over F₈	[i]		m-Reduction
2	Digital (82, 148, 354)-net over F₈	[i]
3	Digital (82, 147, 354)-net over F₈	[i]
4	Digital (82, 146, 354)-net over F₈	[i]
5	Digital (82, 145, 354)-net over F₈	[i]
6	Digital (82, 144, 354)-net over F₈	[i]
7	Digital (82, 143, 354)-net over F₈	[i]
8	Digital (82, 142, 354)-net over F₈	[i]
9	Digital (82, 141, 354)-net over F₈	[i]
10	Digital (82, 140, 354)-net over F₈	[i]
11	Digital (82, 139, 354)-net over F₈	[i]
12	Digital (82, 138, 354)-net over F₈	[i]
13	Digital (82, 137, 354)-net over F₈	[i]
14	Digital (82, 136, 354)-net over F₈	[i]
15	Digital (82, 135, 354)-net over F₈	[i]
16	Digital (82, 134, 354)-net over F₈	[i]
17	Digital (82, 133, 354)-net over F₈	[i]
18	Digital (82, 132, 354)-net over F₈	[i]
19	Digital (82, 131, 354)-net over F₈	[i]
20	Digital (82, 130, 354)-net over F₈	[i]
21	Digital (82, 129, 354)-net over F₈	[i]
22	Digital (82, 128, 354)-net over F₈	[i]
23	Linear OOA(8¹⁵⁰, 354, F₈, 2, 68) (dual of [(354, 2), 558, 69]-NRT-code)	[i]		Extracting Embedded OOA
24	Linear OOA(8¹⁵⁰, 354, F₈, 3, 68) (dual of [(354, 3), 912, 69]-NRT-code)	[i]		Extracting Embedded OOA
25	(56, 90, 354)-net in base 32	[i]		Base Change