Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $B_{h}[g]$ modular sets from $B_{h}$ modular sets   A set of positive integers $A$ is called a $B_{h}[g]$ set if there are at
most $g$ different sums of $h$ elements from $A$ with the same result. This
definition has a generalization to abelian groups and the main problem related
to this kind of sets, is to find $B_{h}[g]$ maximal sets i.e. those with larger
cardinality.
  We construct $B_{h}[g]$ modular sets from $B_{h}$ modular sets using
homomorphisms and analyze the constructions of $B_{h}$ sets by Bose and Chowla,
Ruzsa, and G\'omez and Trujillo look at for the suitable homomorphism that
allows us to preserve the cardinal of this types of sets.

36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph