Cryptology ePrint Archive: Report 2013/709

Efficient Statistical Zero-Knowledge Authentication Protocols for Smart Cards Secure Against Active & Concurrent Attacks

Mohammad Sadeq Dousti and Rasool Jalili

Abstract: We construct statistical zero-knowledge authentication protocols for smart cards based on general assumptions. The main protocol is only secure against active attacks, but we present a modification based on trapdoor commitments that can resist concurrent attacks as well. Both protocols are instantiated using lattice-based primitives, which are conjectured to be secure against quantum attacks. We illustrate the practicality of our main protocol on smart cards in terms of storage, computation, communication, and round complexities. Furthermore, we compare it to other lattice-based authentication protocols, which are either zero-knowledge or have a similar structure. The comparison shows that our protocol improves the best previous protocol.

Category / Keywords: Statistical Zero Knowledge; Authentication; Smart Cards; Post-Quantum Cryptography; Lattice-based Cryptography

Original Publication (with major differences): International Journal of Computer Mathematics

Date: received 30 Oct 2013, last revised 22 Nov 2015

Contact author: msdousti at gmail com

Available format(s): PDF | BibTeX Citation

Note: The journal version is an abridged version of this paper.

Version: 20151123:013220 (All versions of this report)

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