Cryptology ePrint Archive: Report 2018/1093

Adaptively Simulation-Secure Attribute-Hiding Predicate Encryption

Pratish Datta and Tatsuaki Okamoto and Katsuyuki Takashima

Abstract: 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.

Category / Keywords: public-key cryptography / predicate encryption, partially-hiding, simulation-based adaptive security, arithmetic branching programs, inner products

Original Publication (with major differences): ASIACRYPT 2018

Date: received 12 Nov 2018, last revised 12 Nov 2018

Contact author: pratish datta yg at hco ntt co jp

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Note: This is the full version of the paper.

Version: 20181113:005554 (All versions of this report)

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