Cardinality of sets associated to b_3 and b_4 sets

Bravo, Jhon J. and Ruiz, Diego F. and Trujillo, Carlos A. (2012) Cardinality of sets associated to b_3 and b_4 sets. Revista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 27-37 0034-7426 .

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Resumen

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 $G$.

Tipo de documento:Artículo - Article
Palabras clave:Sidon sets, B_h sets, 11B50, 11B75