In this abstract, we propose a new mCL-PKE scheme. We present the formal security model and provide the security proof. Since our mCL-PKE scheme does not depend on the pairing-based operation, it reduces the computational overhead. Moreover, we introduce an extension of mCL-PKE scheme to efficiently encrypt data for multiple users. We propose a novel approach to securely share data in a public cloud. Unlike conventional approaches, the KGC only needs to be semi-trusted and can reside in the public cloud, because our mCL-PKE scheme does not suffer from the key escrow problem. We have implemented our mCL-PKE scheme and the extension to evaluate the performance. The experimental result shows that our mCL-PKE scheme can be realistically applied in a public cloud for secure data sharing.
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