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Lecture notes in computer science

Adaptively Secure Identity-Based Identification from Lattices without Random Oracles

Markus Rückert

Published Jan 1, 2010• 20 citations
Publisher
DOI
10.1007/978-3-642-15317-4_22

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In Asiacrypt 2003, Al-Riyami and Paterson proposed the notion of certificateless cryptography, a technique to remove key escrow from traditional identity-based cryptography as well as circumvent the certificate management problem of traditional public key cryptography.Subsequently much research has been done in the realm of certificateless encryption and signature schemes, but little to no work has been done for the identification primitive until 2013 when Chin et al. rigorously defined certificateless identification and proposed a concrete scheme.However Chin et al.'s scheme was proven in the random oracle model and Canetti et al. has shown that certain schemes provable secure in the random oracle model can be insecure when random oracles are replaced with actual hash functions.Therefore while having a proof in the random oracle model is better than having no proof at all, a scheme to be proven in the standard model would provide stronger security guarantees.In this paper, we propose the first certificateless identification scheme that is both efficient and show our proof of security in the standard model, that is without having to assume random oracles exist.

KSII Transactions on Internet and Information Systems•Jul 29, 2014•9 citations
Identity-based cryptography (IBC) can be applied to scenarios that involve a large number of public keys in each execution. In this paper, we propose an efficient identity-based ring signature scheme on lattices with signature size logarithmic to the cardinality of the ring. To this end, we first construct an efficient identity-based ring identification scheme by combining preimage sampling algorithms and a zero-knowledge proof system for a tree-based accumulator. Then we apply the Fiat-Shamir transformation and obtain a secure identity-based ring signature scheme. We prove its security in the random oracle model under the small integer solution assumption.
In Asiacrypt 2003, Al-Riyami and Paterson proposed the notion of certificateless cryptography, a technique to remove key escrow from traditional identity-based cryptography as well as circumvent the certificate management problem of traditional public key cryptography.Subsequently much research has been done in the realm of certificateless encryption and signature schemes, but little to no work has been done for the identification primitive until 2013 when Chin et al. rigorously defined certificateless identification and proposed a concrete scheme.However Chin et al.'s scheme was proven in the random oracle model and Canetti et al. has shown that certain schemes provable secure in the random oracle model can be insecure when random oracles are replaced with actual hash functions.Therefore while having a proof in the random oracle model is better than having no proof at all, a scheme to be proven in the standard model would provide stronger security guarantees.In this paper, we propose the first certificateless identification scheme that is both efficient and show our proof of security in the standard model, that is without having to assume random oracles exist.