Cardinality of sets associated to b_3 and b_4 sets
A subset $\mathcal{A}$ of a finite abelian group $(G,+)$ is called a $B_h$ set on $G$ if all sums of $h$ elements of $\mathcal{A}$ are different. In this paper we state closed formulas for the cardinality of some sets associated with $B_3$ and $B_4$ sets, and we analyze implications for the largest...
- Autores:
-
Bravo, Jhon J.
Ruiz, Diego F.
Trujillo, Carlos A.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2012
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42250
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42250
http://bdigital.unal.edu.co/32347/
- Palabra clave:
- Sidon sets
B_h sets
11B50
11B75
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A subset $\mathcal{A}$ of a finite abelian group $(G,+)$ is called a $B_h$ set on $G$ if all sums of $h$ elements of $\mathcal{A}$ are different. In this paper we state closed formulas for the cardinality of some sets associated with $B_3$ and $B_4$ sets, and we analyze implications for the largest cardinality of a $B_h$ set on $G$. |
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