Abstract
Cyber physical system (CPS) is facing enormous security challenges because of open and interconnected network and the interaction between cyber components and physical components, the development of cyber physical systems is constrained by security and privacy threats. A feasible solution is to combine the fully homomorphic encryption (FHE) technique to realize the efficient operation of ciphertext without decryption. However, most current homomorphic encryption algorithms only support limited data types, making it difficult to be widely applied in actual environment. To address this limitation, we propose a parallel fully homomorphic encryption algorithm that supports floating-point numbers. The proposed algorithm not only expands the data types supported by the existing fully homomorphic encryption algorithms, but also utilizes the characteristics of multi-nodes in cloud environment to conduct parallel encryption through simultaneous group-wise ciphertext computations. The experimental results show that, in a 16-core 4-node cluster with MapReduce environment, the proposed encryption algorithm achieves the maximum speed-up exceeding 5, which not only solves the limited application problem of the existing fully homomorphic encryption algorithm, but also meets the requirements for the efficient homomorphic encryption of floating-point numbers in cloud computing environment.
Highlights
The cyber physics system is a multi-dimensional complicated system that integrates computation, communication, and physical environments
The main contributions of our work are summarized as follows: (1) We propose a fully homomorphic encryption algorithm supporting Floating-point operation (FFHE) in this paper, which has solved the problem that direct operation of many floating-point ciphertexts cannot be carried out in the real environment
Based on the approximate greatest common divisor problem, Liu proposed a fully homomorphic encryption (LFHE) that supported integer operation [42], and a fully homomorphic encryption is realized through complicated algebraic equation, which has high execution efficiency
Summary
The cyber physics system is a multi-dimensional complicated system that integrates computation, communication, and physical environments. Both the theoretical analysis and experiment results show that the parallel homomorphic encryption algorithm supports floating-point operation, which can be used to conduct fast and efficient encryption and decryption operation of massive floating-point data It has high security and practicality, and it is applicable to the cloud computing scenario. Based on the approximate greatest common divisor problem, Liu proposed a fully homomorphic encryption (LFHE) that supported integer operation [42], and a fully homomorphic encryption is realized through complicated algebraic equation, which has high execution efficiency He applied this scheme to cloud computing environment [43]. The proposed algorithm can solve the problem of limited application in the existing fully homomorphic encryption, and conduct parallel encryption based on the characteristics of multi-nodes in cloud environment, and as a result, the efficiency can be improved
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