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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Distinguishing Multiplications from Squaring Operations
verfasst von : Frederic Amiel, Benoit Feix, Michael Tunstall, Claire Whelan, William P. Marnane
Erschienen in: Selected Areas in Cryptography
Verlag: Springer Berlin Heidelberg
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In this paper we present a new approach to attacking a modular exponentiation and scalar multiplication based by distinguishing multiplications from squaring operations using the instantaneous power consumption. Previous approaches have been able to distinguish these operations based on information of the specific implementation of the embedded algorithm or the relationship between specific plaintexts. The proposed attack exploits the expected Hamming weight of the result of the computed operations. We extrapolate our observations and assess the consequences for elliptic curve cryptosystems when unified formulæ for point addition are used.