A New Hierarchical Identity-Based Encryption in the Standard Model

In this paper, a new Hierarchical Identity-Based Encryption(HIBE) scheme is proposed and is provable security in the generalized selective-ID model in the standard model. Under the decision Bilinear Diffie-Hellman Inversion (BDHI) assumption, this new scheme is provable security against Chosen Plaintext Attacks(CPA). Additionally, a Hierarchical Identity-Based Signature (HIBS) scheme is proposed based on the Waterss scheme and our technique in the standard model. And under Diffie-Hellman Inversion(DHI) assumption, it is provable security against existentially unforgeable under an adaptive chosen message attack.