Multireceiver identity (ID) based encryption and ID-based broadcast encryption allow a sender to use the public identities of multiple receivers to encrypt messages so that only the selected receivers or a privileged set of users can decrypt the messages. It can be used for many practical applications such as digital content distribution, pay-per-view and multicast communication. For protecting the privacy of receivers or providing receiver anonymity, several privacy-preserving (or anonymous) multireceiver ID-based encryption and ID-based broadcast encryption schemes were recently proposed, in which receiver anonymity means that nobody (including any selected receiver), except the sender, knows who the other selected receivers are. However, security incompleteness or flaws were found in these schemes. In this paper, we propose a new privacy-preserving multireceiver ID-based encryption scheme with provable security. We formally prove that the proposed scheme is semantically secure for confidentiality and receiver anonymity. Compared with the previously proposed anonymous multireceiver ID-based encryption and ID-based broadcast encryption schemes, the proposed scheme has better performance and robust security.In the following, we redefine the security notions of receiver anonymity including ANON-IND-sID-CPA and ANON-IND-sID-CCA security games in [11] that take into consideration a multireceiver setting.
Recently, Fan et al. proposed the first anonymous multi-receiver identity (ID)-based encryption (AMIBE) scheme to encrypt a message for multiple selected receivers while achieving anonymity. They claimed that nobody, except the sender, knows who the selected receivers are. However, their scheme has been shown that any selected receiver can extract the identities of the other selected receivers because their security model cannot capture the full requirement of receiver anonymity. In this article, we first re-define the security model of AMIBE. We then propose a new AMIBE scheme to achieve complete receiver anonymity. We prove that the proposed AMIBE scheme is semantically secure against adaptive chosen ciphertext attacks (CCA). Comparisons are given to demonstrate the proposed AMIBE scheme's advantages.
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