However, with the popularization of the IoT technologies, network attacks on the IoT environment are also increasing. Internet of Things (IoT) has proved to be one of a success subset of cyber-physical systems, and it is receiving much attention among end-users associated with various applications. Based on the hardness of the LWE problem, we prove that one scheme satisfies adaptive semantic security and anonymity in the random oracle model, whereas the other satisfies selective semantic security and anonymity in the standard model. In this work, we construct two leveled CLFHE schemes using the approximate eigenvector method presented by Gentry, Sahai, and Waters. However, their scheme supports only homomorphic addition, but not homomorphic multiplication. Recently, Chen, Hu, and Lian proposed a leveled certificateless homomorphic encryption (CLHE) scheme and proved its semantic security based on the learning with errors (LWE) problem in the random oracle model. Thus, certificateless fully homomorphic encryption (CLFHE) has aroused considerable research interest.

Certificateless encryption (CLE) is a type of public-key encryption that combines the advantages of PKI-based public-key encryption with those of identity-based encryption (IBE). As a result, it is a useful tool with numerous applications. Finally, several challenges and open issues are discussed for future research.įully homomorphic encryption (FHE) is a form of public-key encryption that allows the computation of arbitrary functions on encrypted data without decrypting the data. Then, we describe the state of the art of secure basic operations, data aggregation, data query and other data computation in VANETs. Next, we present the framework, communication domains, wireless access technologies and cyber-security issues of VANETs. We first describe the related definitions and the current state of homomorphic encryption. In this paper, we provide a comprehensive survey of secure computation based on homomorphic encryption in VANETs. Because homomorphic encryption supports computations of the ciphertext, it can completely solve this problem.

However, encrypted vehicle data cannot be analyzed easily and flexibly.

Encryption is a common method to guarantee the security of vehicle data in the process of data dissemination and computation. In order to analyze vehicle data, they need to be computed. In vehicular ad hoc networks (VANETs), the security and privacy of vehicle data are core issues.

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