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2017 | OriginalPaper | Buchkapitel

Attribute-Hiding Predicate Encryption in Bilinear Groups, Revisited

verfasst von : Hoeteck Wee

Erschienen in: Theory of Cryptography

Verlag: Springer International Publishing

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Abstract

We present new techniques for achieving strong attribute-hiding in prime-order bilinear groups under the standard k-Linear assumption. Our main result is a “partially hiding” predicate encryption scheme for functions that compute an arithmetic branching program on public attributes, followed by an inner product predicate on private attributes. This constitutes the first “best of both worlds” result in bilinear groups that simultaneously generalizes existing attribute-based encryption schemes and inner product predicate encryption. Our scheme achieves a variant of simulation-based security in the semi-adaptive setting. Along the way, we introduce a conceptually simpler and more modular approach towards achieving the strong attribute-hiding guarantee.

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Vorheriges Kapitel Functional Encryption for Bounded Collusions, Revisited

Nächstes Kapitel Constrained Keys for Invertible Pseudorandom Functions

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Some early works around 2010–2011 use functional encryption (FE) to refer to ABE. Some more recent works also use predicate encryption to refer to ABE. For instance, we clarify here that the OT10 “KP-FE Scheme” in [29] for boolean formula with inner product gates is in fact an ABE and does not provide any attribute-hiding guarantee.

Consider ABE in composite-order groups of order \(p_1p_2\). It is sufficient to show that the \(p_2\)-component of the encapsulated key accompanying the challenge ciphertext is completely hidden in the final hybrid, since we can always hash the encapsulated key, even if the \(p_1\)-component is completely leaked. In the case of strong attribute-hiding predicate encryption, it is not okay to leak the private attribute modulo \(p_1\), even if the \(p_2\)-component is completely hidden. For this reason, we need to ensure that there is no leakage in \(\mathsf{{sk}}\) beyond \(\mathsf{{sk}}^1,\mathsf{{sk}}^2\), which means that \(\mathsf{{sk}}^1,\mathsf{{sk}}^2\) need to completely determine \(\mathsf{{sk}}\).

To achieve this, we need to also pre-process \(f'\) by first replacing every edge e for the public variable \({\mathbf {x}}\) with a pair of edges labeled 1 and \(\phi (e)\).

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Titel: Attribute-Hiding Predicate Encryption in Bilinear Groups, Revisited
verfasst von: Hoeteck Wee
Verlag: Springer International Publishing
Buch: Theory of Cryptography
Print ISBN: 978-3-319-70499-9

Electronic ISBN: 978-3-319-70500-2

Copyright-Jahr: 2017
DOI: https://doi.org/10.1007/978-3-319-70500-2_8

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