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

Mohammad Sadeq Dousti; Rasool Jalili

Paper 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.

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

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Major revision. International Journal of Computer Mathematics
DOI: 10.1080/00207160.2015.1011629
Keywords: Statistical Zero Knowledge Authentication Smart Cards Post-Quantum Cryptography Lattice-based Cryptography
Contact author(s): msdousti @ gmail com
History: 2015-11-23: last of 6 revisions; 2013-11-03: received; See all versions
Short URL: https://ia.cr/2013/709
License: CC BY

BibTeX

@misc{cryptoeprint:2013/709,
      author = {Mohammad Sadeq Dousti and Rasool Jalili},
      title = {Efficient Statistical Zero-Knowledge Authentication Protocols for Smart Cards Secure Against Active & Concurrent Attacks},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/709},
      year = {2013},
      doi = {10.1080/00207160.2015.1011629},
      url = {https://eprint.iacr.org/2013/709}
}