Outsourced computations and, more particularly, cloud computations, are widespread nowadays. That is why the problem of keeping the data security arises. Multiple fully homomorphic cryptosystems were proposed in order to perform secret computations in untrusted environments. But most of the existent solutions are practically inapplicable as they require huge computation resources and produce big (�1Gb) keys and ciphertexts. Therefore, we propose the undemanding fully homomorphic scheme with practically acceptable (�few Kb) keys and output data. Our solution uses modular arithmetic in order to avoid the increase in data size. We have validated our approach through the implementation of the proposed cryptosystem. The details of used algorithms and the results of security evaluation are covered in this paper.
['Darya Chechulina', 'Kirill Shatilov', 'Sergey Krendelev']
Fully Homomorphic Encryption for Secure Computations in Protected Database