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Fully secure functional encryption: attribute-based encryption and (hierarchical) inner product encryption. (English) Zbl 1279.94095
Gilbert, Henri (ed.), Advances in cryptology – EUROCRYPT 2010. 29th annual international conference on the theory and applications of cryptographic techniques, French Riviera, May 30 – June 3, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-13189-9/pbk). Lecture Notes in Computer Science 6110, 62-91 (2010).
Summary: We present two fully secure functional encryption schemes: a fully secure attribute-based encryption (ABE) scheme and a fully secure (attribute-hiding) predicate encryption (PE) scheme for inner-product predicates. In both cases, previous constructions were only proven to be selectively secure. Both results use novel strategies to adapt the dual system encryption methodology introduced by B. Waters. We construct our ABE scheme in composite order bilinear groups, and prove its security from three static assumptions. Our ABE scheme supports arbitrary monotone access formulas. Our predicate encryption scheme is constructed via a new approach on bilinear pairings using the notion of dual pairing vector spaces proposed by T. Okamoto and K. Takashima [Asiacrypt 2009, Lect. Notes Comput. Sci. 5912, 214–231 (2009; Zbl 1267.94089)].
For the entire collection see [Zbl 1188.94008].

MSC:
94A60 Cryptography
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