MinT - Information on Result #798610

Information on Result #798610

Digital (89, 164, 354)-net over F₈, using trace code for nets based on digital (7, 82, 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 (89, 163, 354)-net over F₈	[i]		m-Reduction
2	Digital (89, 162, 354)-net over F₈	[i]
3	Digital (89, 161, 354)-net over F₈	[i]
4	Digital (89, 160, 354)-net over F₈	[i]
5	Digital (89, 159, 354)-net over F₈	[i]
6	Digital (89, 158, 354)-net over F₈	[i]
7	Digital (89, 157, 354)-net over F₈	[i]
8	Digital (89, 156, 354)-net over F₈	[i]
9	Digital (89, 155, 354)-net over F₈	[i]
10	Digital (89, 154, 354)-net over F₈	[i]
11	Digital (89, 153, 354)-net over F₈	[i]
12	Digital (89, 152, 354)-net over F₈	[i]
13	Digital (89, 151, 354)-net over F₈	[i]
14	Digital (89, 150, 354)-net over F₈	[i]
15	Digital (89, 149, 354)-net over F₈	[i]
16	Digital (89, 148, 354)-net over F₈	[i]
17	Digital (89, 147, 354)-net over F₈	[i]
18	Digital (89, 146, 354)-net over F₈	[i]
19	Digital (89, 145, 354)-net over F₈	[i]
20	Digital (89, 144, 354)-net over F₈	[i]
21	Digital (89, 143, 354)-net over F₈	[i]
22	Digital (89, 142, 354)-net over F₈	[i]
23	Digital (89, 141, 354)-net over F₈	[i]
24	Digital (89, 140, 354)-net over F₈	[i]
25	Linear OOA(8¹⁶⁴, 354, F₈, 2, 75) (dual of [(354, 2), 544, 76]-NRT-code)	[i]		Extracting Embedded OOA
26	Linear OOA(8¹⁶⁴, 354, F₈, 3, 75) (dual of [(354, 3), 898, 76]-NRT-code)	[i]		Extracting Embedded OOA