Cryptology ePrint Archive: Report 2014/163

Improved Secure Implementation of Code-Based Signature Schemes on Embedded Devices

Arnaud Dambra and Philippe Gaborit and Mylène Roussellet and Julien Schrek and Nicolas Tafforeau

Abstract: Amongst areas of cryptographic research, there has recently been a widening interest for code-based cryptosystems and their implementations. Besides the {\it a priori} resistance to quantum computer attacks, they represent a real alternative to the currently used cryptographic schemes. In this paper we consider the implementation of the Stern authentication scheme and one recent variation of this scheme by Aguilar {\it et al.}. These two schemes allow public authentication and public signature with public and private keys of only a few hundreds bits. The contributions of this paper are twofold: first, we describe how to implement a code-based signature in a constrained device through the Fiat-Shamir paradigm, in particular we show how to deal with long signatures. Second, we implement and explain new improvements for code-based zero-knowledge signature schemes. We describe implementations for these signature and authentication schemes, secured against side channel attacks, which drastically improve the previous implementation presented at Cardis 2008 by Cayrel {\it et al.}. We obtain a factor 3 reduction of speed and a factor of about 2 for the length of the signature. We also provide an extensive comparison with RSA signatures.

Category / Keywords: Code-based Cryptography, Stern's Scheme, Signature, Authentication

Date: received 3 Mar 2014, last revised 4 Mar 2014

Contact author: mylene roussellet at gmail com

Available format(s): PDF | BibTeX Citation

Version: 20140304:084941 (All versions of this report)

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