Abstract: Highlights•We propose a new scheme called FREDP (File Remotely keyed Encryption and Data Protection). FREDP involves three-party interaction among a mobile terminal, private clouds and public clouds.•Firstly, the private clouds share the ciphertext file to the public clouds until the mobile terminal and the trusted third party, the private clouds, finish the encryption of the plaintext file using a remotely keyed encryption algorithm.•Secondly, to ensure security when a mobile terminal uses data, the private clouds as the third party regularly verify the integrity of the data in the public clouds.•Thirdly, the mobile terminal and private clouds decrypt the ciphertext file to allow the user of the mobile terminal to use the data.•Finally, we analyze the security of FREDP using BAN. The FREDP satisfies the security standard. We conduct an experiment to measure the scheme's performance. The results show that FREDP achieves good performance.
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