Identity Based Broadcast Encryption with Group of Prime Order

Yang Ming¹ and Yumin Wang²

¹School of Information Engineering, Chang’an University, China

²State Key Lab of Integrated Service Network, Xidian University, China

Abstract: 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 ciphertexts. This construction uses dual pairing vector space technique in prime order groups, which can simulate the canceling 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.

Keywords: Cryptography, encryption, IBBE, dual pairing vector space, full security, provable security.

Received January 8, 2014; accepted September 9, 2014