The scale of network communication users is increasing daily, and massive user information are interacted with and stored in the network. The exchange of information between entities in different communication environments will not only promote the dynamic development of culture and economy, but also bring the risk of data redundancy and privacy leakage, which will have many negative effects. With the development of digitalization of privacy information on the Internet, incidents of privacy data leakage continue to occur. Interacting with network data not only provides each communication user with a shared space for personal information but also poses a great risk of exposing user privacy data. To solve the above problems, our work proposes a heterogeneous signcryption scheme for multi-party and multi-ciphertext equality test. In the scheme, the communication users in the Identity-Based Cryptosystem (IBC) and the Certificateless Cryptosystem (CLC) can communicate securely in many ways; Different cryptographic systems use different system parameters. In addition, our scheme has the advantage of high communication efficiency compared with the equality test of a single ciphertext. The signcryption system based on IBC and CLC is adopted, which eliminates the problem of certificate management in the traditional public key cryptosystem and ensures the confidentiality and authentication of data. The introduction of multi-ciphertext equality test can enable secure retrieval of multiple ciphertexts by multiple data users at the same time and improve the efficiency of ciphertext retrieval in multi-user environments. Under the random oracle model, the proposed scheme has proved to satisfy unforgeability, confidentiality under the computational Diffie–Hellman problem. Experimental results indicate that our proposal achieves better performance.
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