Comparative analysis of basic operations of helib and microsoft seal libraries for cloud computing

Abstract

The following encryption types are considered: partially, somewhat and fully homomorphic. Each type differs in the arithmetic operations provided and the number of their execution. Basic operations in homomorphic encryption are considered: addition, multiplication, encryption and decryption. The three homomorphic encryption libraries OpenFHE, HElib, and Microsoft SEAl are examined. OpenFHE provides maximum flexibility by supporting a variety of homomorphic encryption methods and is therefore suitable for a variety of applications. HElib focuses on support for BGV schemes. Microsoft SEAL focuses on ease of use and high performance and supports BFV and CKKS schemes. Two benchmarks were implemented to analyze basic operations and solve the quadratic equation in encrypted form in HElib and Microsoft SEAL libraries. The results showed the advantage of HElib library in the execution time of all operations compared to Microsoft SEAL.