In the past studies, it is generally assumed that both sides of communication are in the same environment of public key cryptography, but with the development of technology and the popularity of the network, different regions may have different public key cryptographies. In order to resolve the communication security problem between heterogeneous systems, two signcryption schemes are proposed, which are used to achieve the communication security between the Public Key Infrastructure (PKI) and CertificatLess public key Cryptography (CLC) under heterogeneous systems. It is proved that the schemes have INDistinguishability against Adaptive Chosen Ciphertext Attacks (IND-CCA2) under Bilinear Diffie-Hellman Problem (BDHP) and Existential UnForgeability against adaptive Chosen Messages Attacks (EUF-CMA) under the Computational Diffie-Hellman Problem (CDHP) in the random oracle model.
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