Data sharing plays a significant role for C2V communication in VANETs. To achieve the data confidentiality, access control, data authentication and efficiency in data sharing simultaneously, this paper proposes a post quantum secure and efficient data sharing scheme by designing an attribute-based encryption (ABE) over lattices for VANETs. The proposed scheme is secure under the selective attribute and chosen-plaintexts attack (IND-sAtt-CPA) and the security is proven under the hardness of the Learning With Errors (LWE) problem in the random oracle model. Thanks to the characters of the ABE concept which is the design foundation of the proposed scheme, we also achieve the fine-grained access control of the sharing data in this paper. Furthermore, the signature of the shared ciphertext is also generated before the data is shared. Hence the proposed scheme can efficiently resist several normal network attacks such as replay attack and impersonation attack etc. The space and computation analysis of the proposed scheme show that the proposed data sharing scheme is with shorter ciphertext length and lower encryption/decryption costs which have been checked by using Java language on a personal computer with Intel (R) Core (TM) i9-14900HX processor (2.20 GHz) and 32GB RAM. At last, using NS3 software, a network simulation is given to verify the communication effects. Simulation results show that the response latency of the proposed scheme is lower than that of several known ABE schemes in VANETs. And the average message loss rate of the proposed scheme is also controlled within an acceptable interval (much less than 5%) even in high-intensity communication scenarios.
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