Leakage resilient leveled fhe on multiple bit message Hadoop Bigdata

Fully Homomorphic Encryption (FHE) allows computing over encrypted data without decrypting the corresponding ciphertexts, and it constitutes a promising cryptographic primitive to preserve data privacy in the big data computing environments. In generally, FHE schemes can be constructed by using the standard Learning with Errors (LWE) assumption, and the current crux lies in how to achieve efficient multi-bit FHE encryption while being leakage-resistent against attackers who may capture the information of cryptographic secret keys via side channel attacks. Based on Berkoff-Liu’s work at TCC’14, we aim to address this issue by giving a new structure of public key matrix with any number of LWE instances, thereby avoiding the use of a straightforward composition to achieve multi-bit FHE encryption under standard LWE. Particularly, our scheme attains provable security.