Identity based broadcast encryption with group of prime order

Identity Based Broadcast Encryption (IBBE) is a cryptographic primitive, which allows a center to transmit encrypted data over a broadcast channel to a large number of users such that only a select subset of privileged users can decrypt it. In this paper, based on bilinear groups, we propose a secure IBBE scheme with a constant-size system parameters, private keys and cipher texts. This construction uses dual pairing vector space technique in prime order groups, which can simulate the cancelling and parameter hiding properties of composite order groups. Furthermore, we show that the proposed scheme utilizes a nested dual system encryption argument to prove full secure (adaptive secure) under the Decisional Linear assumption (DLIN) (static, non q-based) in the standard model. To the best of our knowledge, our scheme is the first provably secure IBBE scheme in the literature to achieve this security level.