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The Internet of Things (IoT) is developing towards smart and mobile Internet of Things (SM-IoT), which has made great progress. Due to the inherent heterogeneity, distribution, intensive communication, and resource constraints of SM-IoT, efficient security and privacy communication protocols become a particularly critical challenge. Signcryption has received considerable attention. Various signcryption schemes have been proposed to solve secure communication. However, most of them are low in efficiency, without the consideration of characteristics of the SM-IoT. In this paper, we propose a signcryption scheme to achieve efficient secure multi-message and multi-receiver communication for the heterogeneous and distributed SM-IoT. We develop Identity-based Cryptography (IBC) and Certificateless Cryptography (CLC) to solve the certificate management problem. Our scheme no longer needs wireless secure channel during key generation phase of traditional CLC system, which improves the applicability of our scheme in wireless SM-IoT environment. There is no expensive operations, such as bilinear pairing, in our scheme. In addition, our scheme outsources part of the verification overhead from the SM-IoT users to the gateway without revealing user privacy. The performance evaluation shows that the computation efficiency in both sender and receiver side is improved in our scheme. INDEX TERMSCertificateless cryptography (CLC), identity-based cryptography (IBC), heterogeneous, verification outsourcing, smart mobile Internet of Things (SM-IoT), multi-massage and multi-receiver signcryption.

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