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SIAM Journal on Computing

Chosen‐Ciphertext Security from Identity‐Based Encryption

Dan Boneh, Ran Canetti, Shai Halevi, Jonathan I. Katz

Published Dec 21, 2006• 415 citations

Abstract

We propose simple and efficient CCA‐secure public‐key encryption schemes (i.e., schemes secure against adaptive chosen‐ciphertext attacks) based on any identity‐based encryption (IBE) scheme. Our constructions have ramifications of both theoretical and practical interest. First, our schemes give a new paradigm for achieving CCA‐security; this paradigm avoids “proofs of well‐formedness” that have been shown to underlie previous constructions. Second, instantiating our construction using known IBE constructions we obtain CCA‐secure encryption schemes whose performance is competitive with the most efficient CCA‐secure schemes to date. Our techniques extend naturally to give an efficient method for securing IBE schemes (even hierarchical ones) against adaptive chosen‐ciphertext attacks. Coupled with previous work, this gives the first efficient constructions of CCA‐secure IBE schemes.

DOI: 10.1137/s009753970544713x

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Journal of the Graduate School of the Chinese Academy of Sciences•Jan 1, 2006•1 citation

We propose simple and efficient CCA‐secure public‐key encryption schemes (i.e., schemes secure against adaptive chosen‐ciphertext attacks) based on any identity‐based encryption (IBE) scheme. Our constructions have ramifications of both theoretical and practical interest. First, our schemes give a new paradigm for achieving CCA‐security; this paradigm avoids “proofs of well‐formedness” that have been shown to underlie previous constructions. Second, instantiating our construction using known IBE constructions we obtain CCA‐secure encryption schemes whose performance is competitive with the most efficient CCA‐secure schemes to date. Our techniques extend naturally to give an efficient method for securing IBE schemes (even hierarchical ones) against adaptive chosen‐ciphertext attacks. Coupled with previous work, this gives the first efficient constructions of CCA‐secure IBE schemes.

We propose a generic construction that yields efficient identity-based encryption (IBE) schemes secure against chosen ciphertext attack (CCA) in the standard model. Our construction extends Kiltz et al.'s (Eurocrypt '09) method of constructing CCA-secure public-key encryption schemes via randomness extraction to the identity-based setting. The main idea of our construction is to transform ‘|

\epsilon _1

|-almost |$\kappa

|-entropic’ and valid/invalid ciphertext indistinguishable (VI-IND) identity-based hash proof system to the one that satisfies the stronger ‘|

\epsilon _2$|-universal’ and VI-IND property. This transformation is realized by a randomness extractor based on the 4-wise hash function. We demonstrate that our generic construction can produce CCA-secure IBE schemes whose efficiency is comparable with the most efficient but non-generic CCA-secure IBE schemes without random oracles in the literature.

In the situation where there are one sender and multiple receivers, a receiver selective opening (RSO) attack for an identity-based encryption (IBE) scheme considers adversaries that can corrupt some of the receivers and get their user secret keys and plaintexts. Security against RSO attacks for an IBE scheme ensures confidentiality of ciphertexts of uncorrupted receivers. In this paper, we formalize a definition of RSO security against chosen ciphertext attacks (RSO-CCA security) for IBE and propose the first RSO-CCA secure IBE schemes. More specifically, we construct an RSO-CCA secure IBE scheme based on an IND-ID-CPA secure IBE scheme and a non-interactive zero-knowledge proof system with unbounded simulation soundness and multi-theorem zero-knowledge. Through our generic construction, we obtain the first pairing-based and lattice-based RSO-CCA secure IBE schemes.

In the situation where there are one sender and multiple receivers, a receiver selective opening (RSO) attack for an identity-based encryption (IBE) scheme considers adversaries that can corrupt some of the receivers and get their user secret keys and plaintexts. Security against RSO attacks for an IBE scheme ensures confidentiality of ciphertexts of uncorrupted receivers. In this paper, we formalize a definition of RSO security against chosen ciphertext attacks (RSO-CCA security) for IBE and propose the first RSO-CCA secure IBE schemes. More specifically, we construct an RSO-CCA secure IBE scheme based on an IND-ID-CPA secure IBE scheme and a non-interactive zero-knowledge proof system with unbounded simulation soundness and multi-theorem zero-knowledge. Through our generic construction, we obtain the first pairing-based and lattice-based RSO-CCA secure IBE schemes.

We propose two efficient Identity-Based threshold decryption schemes.They are proved secure against chosen ciphertext attacks under the standard decisional bilinear Diffie-Hellman assumption.The first one is constructed from(one of) the Selective ID-Based Encryption(Selective-IBE) scheme proposed by Boneh and Boyen recently,yet the second one is transformed from the Full ID-Based Encryption(Full-IBE) scheme obtained by Waters.As the based IBE schemes,the attacker in the first proposal has to choose the challenge identity before the common parameter is generated.while the attacker in the second one could choose the identity adaptively.To the best of our knowledge,previous related schemes could only be proved secure in the random oracle model.