Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homomorphic public-key cryptosystems over groups and rings   We propose a new homomorphic public-key cryptosystem over arbitrary
nonidentity finite group based on the difficulty of the membership problem for
groups of integer matrices. Besides, a homomorphic cryptosystem is designed for
the first time over finite commutative rings.

8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin