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2018 | OriginalPaper | Buchkapitel

Unbounded ABE via Bilinear Entropy Expansion, Revisited

verfasst von : Jie Chen, Junqing Gong, Lucas Kowalczyk, Hoeteck Wee

Erschienen in: Advances in Cryptology – EUROCRYPT 2018

Verlag: Springer International Publishing

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Abstract

We present simpler and improved constructions of unbounded attribute-based encryption (ABE) schemes with constant-size public parameters under static assumptions in bilinear groups. Concretely, we obtain:

a simple and adaptively secure unbounded ABE scheme in composite-order groups, improving upon a previous construction of Lewko and Waters (Eurocrypt ’11) which only achieves selective security;
an improved adaptively secure unbounded ABE scheme based on the k-linear assumption in prime-order groups with shorter ciphertexts and secret keys than those of Okamoto and Takashima (Asiacrypt ’12);
the first adaptively secure unbounded ABE scheme for arithmetic branching programs under static assumptions.

At the core of all of these constructions is a “bilinear entropy expansion” lemma that allows us to generate any polynomial amount of entropy starting from constant-size public parameters; the entropy can then be used to transform existing adaptively secure “bounded” ABE schemes into unbounded ones.

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Vorheriges Kapitel Revisiting AES-GCM-SIV: Multi-user Security, Faster Key Derivation, and Better Bounds

Nächstes Kapitel Anonymous IBE, Leakage Resilience and Circular Security from New Assumptions

Some works associate ciphertexts with a set \(S \subseteq [n]\) where [n] is referred to as the attribute universe, in which case \(\mathbf {x}\in \{0,1\}^n\) corresponds to the characteristic vector of S.

All known adaptively secure ABE for monotone span programs under static assumptions in the standard model (even in the bounded setting and even with composite-order groups) have a read-once restriction [2, 3, 6, 19, 22, 27].

Attrapadung’s unbounded KP-ABE does have the advantage that there is no read-once restriction on the span programs, but even with the read-once restriction, the proof still requires q-type assumptions.

And a subgroup assumption to introduce the \(h_2^{\alpha _j}\)’s.

With two main differences: (i) we are in the selective setting which allows for a much simpler proof, (ii) we allow \(j = i\) in \( \mathsf {sk}\).

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Titel: Unbounded ABE via Bilinear Entropy Expansion, Revisited
verfasst von: Jie Chen
Junqing Gong
Lucas Kowalczyk
Hoeteck Wee
Verlag: Springer International Publishing
Buch: Advances in Cryptology – EUROCRYPT 2018
Print ISBN: 978-3-319-78380-2

Electronic ISBN: 978-3-319-78381-9

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-78381-9_19

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