Leveled Homomorphic Encryption Schemes for Homomorphic Encryption Standard

ePrint Report: Leveled Homomorphic Encryption Schemes for Homomorphic Encryption Standard

Shuhong Gao, Kyle Yates

Homomorphic encryption allows for computations on encrypted data without exposing the underlying plaintext, enabling secure and private data processing in various applications such as cloud computing and machine learning. This paper presents a comprehensive mathematical foundation for three prominent homomorphic encryption schemes: Brakerski-Gentry-Vaikuntanathan (BGV), Brakerski-Fan-Vercauteren (BFV), and Cheon-Kim-Kim-Song (CKKS), all based on the Ring Learning with Errors (RLWE) problem. We align our discussion with the functionalities …

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