Development Pailliers library of fully homomorphic encryption
Erlanovna T.Z. Sakhybay T. Muratovna A.Z. Gulzat T.
June 2024Institute of Advanced Engineering and Science
Indonesian Journal of Electrical Engineering and Computer Science
2024#34Issue 31989 - 1998 pp.
One of the new areas of cryptography considered-homomorphic cryptography. The article presents the main areas of application of homomorphic encryption. An analysis of existing developments in the field of homomorphic encryption carried out. The analysis showed that existing library implementations only allow processing bits or arrays of bits and do not support division and subtraction operations. However, to solve applied problems, support for performing integer operations are necessary. Because of the analysis, the need to implement the homomorphic division and subtraction operations identified, as well as the relevance of developing our own implementation of a homomorphic encryption library over integers. The ability to perform four operations (addition, difference, multiplication and division) on encrypted data will expand the areas of application of homomorphic encryption. A homomorphic division and subtraction methods proposed that allows the division operation performed on homomorphically encrypted data. An architecture for a library of fully homomorphic operations on integers is proposed. The library supports basic homomorphic operations on integers, as well as homomorphic division method. The article also provides measurements of the time required to perform certain operations on encrypted data and analyzes the efficiency of the developed implementation of the library.
Cryptography , Homomorphic encryption , Library , Paillier cryptosystem , Security
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Faculty Information Technology, Kazakh National University Named After Al-Farabi (KazNU), Almaty, Kazakhstan
Faculty of Computer Technology and Cybersecurity, International IT University (IITU), Almaty, Kazakhstan
Faculty Information Technology
Faculty of Computer Technology and Cybersecurity
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