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Cryptography and Communications

, Volume 4, Issue 2, pp 131–144 | Cite as

Fault analysis of the NTRUSign digital signature scheme

  • Abdel Alim Kamal
  • Amr M. Youssef
Article

Abstract

We present a fault analysis of the NTRUSign digital signature scheme. The utilized fault model is the one in which the attacker is assumed to be able to fault a small number of coefficients in a specific polynomial during the signing process but cannot control the exact location of the injected transient faults. For NTRUsign with parameters (N, q = p l , \(\mathcal{B}\), standard, \(\mathcal{N}\)), when the attacker is able to skip the norm-bound signature checking step, our attack needs one fault, succeeds with probability \(\approx 1-\frac{1}{p}\) and requires O((qN) t ) steps when the number of faulted polynomial coefficients is upper bounded by t. The attack is also applicable to NTRUSign utilizing the transpose NTRU lattice but it requires double the number of fault injections. Different countermeasures against the proposed attack are investigated.

Keywords

Side channel attacks Lattice-based public key cryptosystems Fault analysis and countermeasures Digital signature schemes NTRU 

Mathematics Subject Classification (2010)

94A60 

Notes

Acknowledgements

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions that helped improve the quality of the paper. This work is supported in part by the Natural Sciences and Engineering Research Council of Canada.

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Copyright information

© Springer Science + Business Media, LLC 2012

Authors and Affiliations

  1. 1.Concordia Institute for Information Systems EngineeringConcordia UniversityMontrealCanada

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