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Functional encryption for threshold functions (or fuzzy IBE) from lattices

By Shweta Agrawal, Xavier Boyen, Vinod Vaikuntanathan, Panagiotis Voulgaris and Hoeteck Wee

Abstract

Cryptosystems based on the hardness of lattice problems have recently acquired much importance due to their average-case to worst-case equivalence, their conjectured resistance to quantum cryptanalysis, their ease of implementation and increasing practicality, and, lately, their promising potential as a platform for constructing advanced functionalities.\ud \ud In this work, we construct “Fuzzy” Identity Based Encryption from the hardness of the Learning With Errors (LWE) problem. We note that for our parameters, the underlying lattice problems (such as gapSVP or SIVP) are assumed to be hard to approximate within supexponential factors for adversaries running in subexponential time. We give CPA and CCA secure variants of our construction, for small and large universes of attributes. All our constructions are secure against selective-identity attacks in the standard model. Our construction is made possible by observing certain special properties that secret sharing schemes need to satisfy in order to be useful for Fuzzy IBE. We also discuss some obstacles towards realizing lattice-based attribute-based encryption (ABE)

Topics: Data encryption, Computer communication network, Management of computing and information systems, Algorithm analysis and problem complexity, Systems and data security
Publisher: Springer Berlin Heidelberg
Year: 2012
DOI identifier: 10.1007/978-3-642-30057-8_17
OAI identifier: oai:eprints.qut.edu.au:69167

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