Public-key cryptosystem based on fully homomorphic encryption

In this paper, we discuss the practical usage of fully homomorphic encryption. The application of this encryption to constructing a public-key cryptosystem based on the RSA algorithm is shown. An implementation of this cryptosystem demonstrates that all arithmetical calculations over the encrypted data are correct. Also, it proves that the multiplication of ciphertexts doesn't lead to increasing the dimension of the multiplication result.