Download Cryptographic Hardware and Embedded Systems - CHES 2013: by Amir Moradi, Oliver Mischke (auth.), Guido Bertoni, PDF

By Amir Moradi, Oliver Mischke (auth.), Guido Bertoni, Jean-Sébastien Coron (eds.)

This publication constitutes the lawsuits of the fifteenth foreign Workshop on Cryptographic and Embedded platforms, CHES 2013, held in Santa Barbara, CA, united states, in August 2013. The 27 papers provided have been conscientiously reviewed and chosen from 132 submissions. The papers are prepared within the following topical sections: side-channel assaults; actual unclonable functionality; light-weight cryptography; implementations and fault assaults; effective and safe implementations; elliptic curve cryptography; protecting; side-channel assaults and countermeasures.

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Additional info for Cryptographic Hardware and Embedded Systems - CHES 2013: 15th International Workshop, Santa Barbara, CA, USA, August 20-23, 2013. Proceedings

Example text

Success through Confidence 25 Related Work. The problem of evaluating the success of an attack has already been tackled in several papers [2, 6, 9, 10]. In [6] and [10], the CPA success rate is evaluated by using Fisher’s transformation (see for instance [3]): simple formulae are exhibited to estimate the success rate in terms of both the noise standard deviation and the correlation corresponding to the correct key. These works were a first important step towards answering our problem. However, they are conducted under the assumption that wrong hypotheses are uncorrelated to the leakage.

Even optimal from an effectiveness point of view, this approach is not realistic as it reposes on two major issues: the knowledge of the distribution of the matrix (which requires a theoretical study over highly dimensional data) and the computation and storage of every score (which may require a lot of time and memory). Moreover, one could wonder if all the information contained in the matrix is relevant, or if there is some redundancy. On the opposite side, the actual attacks only use small parts of the available information.

Furthermore, we denote by X a (discrete) random variable whose realizations are known to the attacker, by Zδ the random variable associated to the output of a function f such that Zδ = f (X ⊕ kδ ), and by L the random variable associated to the leakage on Z0 . For any i, we denote by xi and li the i-th realization of X and L, and by zδ,i the i-th realization of Zδ . For a fixed number N of observations, we denote by ρδ the Pearson correlation coefficient between (l1 , l2 , · · · , lN ) and (zδ,1 , zδ,2 , · · · , zδ,N ).

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