NDLI: Efficient Selective Identity-Based Encryption Without Random Oracles

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Efficient Selective Identity-Based Encryption Without Random Oracles

Content Provider	Springer Nature Link
Author	Boneh, Dan Boyen, Xavier
Copyright Year	2010
Abstract	We construct two efficient Identity-Based Encryption (IBE) systems that admit selective-identity security reductions without random oracles in groups equipped with a bilinear map. Selective-identity secure IBE is a slightly weaker security model than the standard security model for IBE. In this model the adversary must commit ahead of time to the identity that it intends to attack, whereas in an adaptive-identity attack the adversary is allowed to choose this identity adaptively. Our first system—BB1—is based on the well studied decisional bilinear Diffie–Hellman assumption, and extends naturally to systems with hierarchical identities, or HIBE. Our second system—BB2—is based on a stronger assumption which we call the Bilinear Diffie–Hellman Inversion assumption and provides another approach to building IBE systems.Our first system, BB1, is very versatile and well suited for practical applications: the basic hierarchical construction can be efficiently secured against chosen-ciphertext attacks, and further extended to support efficient non-interactive threshold decryption, among others, all without using random oracles. Both systems, BB1 and BB2, can be modified generically to provide “full” IBE security (i.e., against adaptive-identity attacks), either using random oracles, or in the standard model at the expense of a non-polynomial but easy-to-compensate security reduction.
Starting Page	659
Ending Page	693
Page Count	35
File Format	PDF
ISSN	09332790
Journal	Journal of Cryptology
Volume Number	24
Issue Number	4
e-ISSN	14321378
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-09-15
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Identity-based encryption Selective-ID security Adaptive-ID security Pairing-based cryptography Asymmetric bilinear maps BDH assumption BDHI assumption Security proofs Communications Engineering, Networks Combinatorics Probability Theory and Stochastic Processes Coding and Information Theory Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computer Science Applications Software

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