Practical Hierarchical Identity Based Encryption Scheme without Random Oracles

Xiaoming HU  Shangteng HUANG  Xun FAN  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E92-A   No.6   pp.1494-1499
Publication Date: 2009/06/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E92.A.1494
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Cryptography and Information Security
cryptanalysis,  hierarchical identity-based encryption,  constant size ciphertext,  tight security reduction,  

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Recently, Au et al. proposed a practical hierarchical identity-based encryption (HIBE) scheme and a hierarchical identity-based signature (HIBS) scheme. In this paper, we point out that there exists security weakness both for their HIBE and HIBS scheme. Furthermore, based on q-ABDHE, we present a new HIBE scheme which is proved secure in the standard model and it is also efficient. Compared with all previous HIBE schemes, ciphertext size as well as decryption cost are independent of the hierarchy depth. Ciphertexts in our HIBE scheme are always just four group elements and decryption requires only two bilinear map computations.