MinT - Information on Result #798293

Information on Result #798293

Digital (36, 58, 354)-net over F₈, using trace code for nets based on digital (7, 29, 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 (36, 57, 354)-net over F₈	[i]		m-Reduction
2	Digital (36, 56, 354)-net over F₈	[i]
3	Digital (36, 55, 354)-net over F₈	[i]
4	Digital (36, 54, 354)-net over F₈	[i]
5	Digital (36, 53, 354)-net over F₈	[i]
6	Digital (36, 52, 354)-net over F₈	[i]
7	Digital (47, 69, 363)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
8	Digital (48, 70, 368)-net over F₈	[i]
9	Digital (49, 71, 371)-net over F₈	[i]
10	Digital (50, 72, 378)-net over F₈	[i]
11	Digital (51, 73, 379)-net over F₈	[i]
12	Digital (52, 74, 382)-net over F₈	[i]
13	Digital (54, 76, 388)-net over F₈	[i]
14	Digital (55, 77, 389)-net over F₈	[i]
15	Digital (57, 79, 419)-net over F₈	[i]
16	Digital (58, 80, 484)-net over F₈	[i]
17	Digital (60, 82, 514)-net over F₈	[i]
18	Linear OOA(8⁵⁸, 354, F₈, 2, 22) (dual of [(354, 2), 650, 23]-NRT-code)	[i]		Extracting Embedded OOA
19	Linear OOA(8⁵⁸, 354, F₈, 3, 22) (dual of [(354, 3), 1004, 23]-NRT-code)	[i]		Extracting Embedded OOA