The development of cloud services in recent years has mushroomed, for example, Google Drive, Amazon AWS, Microsoft Azure. Merchants can easily use cloud services to open their online shops in a few seconds. Users can easily and quickly connect to the cloud in their own portable devices, and access their personal information effortlessly. Because users store large amounts of data on third-party devices, ensuring data confidentiality, availability and integrity become especially important. Therefore, data protection in cloud storage is the key to the survival of the cloud industry. Fortunately, Proxy Re-Encryption schemes enable users to convert their ciphertext into others ciphertext by using a re-encryption key. This method gracefully transforms the users computational cost to the server. In addition, with C-PREs, users can apply their access control right on the encrypted data. Recently, we lowered the key storage cost of C-PREs to constant size and proposed the first Key-Aggregate Proxy Re-Encryption scheme. In this paper, we further prove that our scheme is a CCA-secure Key-Aggregate Proxy Re-Encryption scheme in the adaptive model without using random oracle. Moreover, we also implement and analyze the Key Aggregate PRE application in the real world scenario.
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