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Horizontal Correlation Analysis on Exponentiation
Clavier C., Feix B., Gagnerot G., Roussellet M., Verneuil V.
Dans Twelfth International Conference on Information and Communications Security - Twelfth International Conference on Information and Communications Security, Barcelona : Espagne (2010) - http://hal.inria.fr/inria-00540384
Communications avec actes
Informatique/Cryptographie et sécurité
Horizontal Correlation Analysis on Exponentiation
Christophe Clavier () 1, Benoit Feix () 2, Georges Gagnerot () 1, 2, Mylène Roussellet () 2, Vincent Verneuil () 2, 3
1 :  XLIM (XLIM)
http://www.xlim.fr
CNRS : UMR6172 – Université de Limoges
123 Avenue Albert THOMAS 87060 LIMOGES CEDEX
France
2 :  Inside Contactless
Inside Contactless
41, Parc Club du Golf 13856 Aix en Provence cedex 3
France
3 :  LFANT (INRIA Bordeaux - Sud-Ouest)
INRIA – Université de Bordeaux – CNRS : UMR5251
France
DMI
We introduce in this paper a technique in which we apply correlation analysis using only one execution power curve during an exponentiation to recover the whole secret exponent manipulated by the chip. As in the Big Mac attack from Walter, longer keys may facilitate this analysis and success will depend on the arithmetic coprocessor characteristics. We present the theory of the attack with some practical successful results on an embedded device and analyze the efficiency of classical countermeasures with respect to our attack. Our technique, which uses a single exponentiation curve, cannot be prevented by exponent blinding. Also, contrarily to the Big Mac attack, it applies even in the case of regular implementations such as the square and multiply always or the Montgomery ladder. We also point out that DSA and Diffie-Hellman exponentiations are no longer immune against CPA. Then we discuss the efficiency of known countermeasures, and we finally present some new ones.
Anglais

12/2010
internationale
Twelfth International Conference on Information and Communications Security
Barcelona
Espagne
15/12/2010
17/12/2010
Universitat Politècnica de Catalunya
Juan Hernández-Serrano
Springer
LNCS
tbd

2010
LFANT
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