Abstract

RUIZ, Diego  and  TRUJILLO, Carlos. Construction of B_h[g] sets in product of groups. Rev.colomb.mat. [online]. 2016, vol.50, n.2, pp.165-174. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v50n2.62208.

Abstract A subset A of an abelian group G is a B_h[g] set on G if the elements of G can be written in at most g ways as sum of h elements of A. Given any field F, this work presents constructions of B_h[g] sets on the abelian groups (F^h +), (Z^d, +), and (Z_m1 × … × Z_md, +), for d ≥ 2, h ≥ 2, and g ≥ 1.

Keywords : Sidon sets; B_h[g] sets.

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