MinT - Information on Result #798250

Information on Result #798250

Digital (23, 40, 208)-net over F₈, using trace code for nets based on digital (3, 20, 104)-net over F₆₄, using

net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
  - a function field by SÃ©mirat [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 (23, 39, 208)-net over F₈	[i]		m-Reduction
2	Digital (23, 38, 208)-net over F₈	[i]
3	Digital (23, 37, 208)-net over F₈	[i]
4	Digital (80, 114, 416)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
5	Digital (84, 118, 464)-net over F₈	[i]
6	Digital (88, 122, 562)-net over F₈	[i]
7	Digital (81, 116, 416)-net over F₈	[i]
8	Digital (85, 120, 464)-net over F₈	[i]
9	Digital (89, 124, 562)-net over F₈	[i]
10	Linear OOA(8⁴⁰, 208, F₈, 2, 17) (dual of [(208, 2), 376, 18]-NRT-code)	[i]		Extracting Embedded OOA
11	Linear OOA(8⁴⁰, 208, F₈, 3, 17) (dual of [(208, 3), 584, 18]-NRT-code)	[i]		Extracting Embedded OOA