Geodesic
Public-key cryptosystem based on fully homomorphic encryption
Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 59-61

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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.
Keywords: homomorphic encryption, public-key cryptosystem, RSA algorithm. 
@article{PDMA_2015_8_a20,
     author = {V. V. Egorova and D. K. Chechulina},
     title = {Public-key cryptosystem based on fully homomorphic encryption},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {59--61},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2015_8_a20/}
}
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V. V. Egorova; D. K. Chechulina. Public-key cryptosystem based on fully homomorphic encryption. Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 59-61. http://geodesic.mathdoc.fr/item/PDMA_2015_8_a20/