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IEICE TRANSACTIONS on Information

Adaptively Simulation-Secure Attribute-Hiding Predicate Encryption

Pratish DATTA, Tatsuaki OKAMOTO, Katsuyuki TAKASHIMA

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Summary :

This paper demonstrates how to achieve simulation-based strong attribute hiding against adaptive adversaries for predicate encryption (PE) schemes supporting expressive predicate families under standard computational assumptions in bilinear groups. Our main result is a simulation-based adaptively strongly partially-hiding PE (PHPE) scheme for predicates computing arithmetic branching programs (ABP) on public attributes, followed by an inner-product predicate on private attributes. This simultaneously generalizes attribute-based encryption (ABE) for boolean formulas and ABP's as well as strongly attribute-hiding PE schemes for inner products. The proposed scheme is proven secure for any a priori bounded number of ciphertexts and an unbounded (polynomial) number of decryption keys, which is the best possible in the simulation-based adaptive security framework. This directly implies that our construction also achieves indistinguishability-based strongly partially-hiding security against adversaries requesting an unbounded (polynomial) number of ciphertexts and decryption keys. The security of the proposed scheme is derived under (asymmetric version of) the well-studied decisional linear (DLIN) assumption. Our work resolves an open problem posed by Wee in TCC 2017, where his result was limited to the semi-adaptive setting. Moreover, our result advances the current state of the art in both the fields of simulation-based and indistinguishability-based strongly attribute-hiding PE schemes. Our main technical contribution lies in extending the strong attribute hiding methodology of Okamoto and Takashima [EUROCRYPT 2012, ASIACRYPT 2012] to the framework of simulation-based security and beyond inner products.

Publication
IEICE TRANSACTIONS on Information Vol.E103-D No.7 pp.1556-1597
Publication Date
2020/07/01
Publicized
2020/04/13
Online ISSN
1745-1361
DOI
10.1587/transinf.2019ICP0001
Type of Manuscript
Special Section PAPER (Special Section on Information and Communication System Security)
Category
Cryptographic Techniques

Authors

Pratish DATTA
  NTT Research, Inc.
Tatsuaki OKAMOTO
  NTT Research, Inc.
Katsuyuki TAKASHIMA
  Mitsubishi Electric Corporation

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