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Second-order analyses have shown a great interest to defeat first level of masking protections. Their practical realization remains tedious in a lot of cases. This is partly due to the difficulties of...
The LLL algorithm (from Lenstra, Lenstra and Lovász) and its generalization BKZ (from Schnorr and Euchner) are widely used in cryptanalysis, especially for lattice-based cryptography. Precisely unders...
Second-order side-channel attacks are used to break first-order masking protections. A practical reason which often limits the efficiency of second-order attacks is the temporal localisation of the le...
Several fault attacks against pairing-based cryptography have been described theoretically in recent years. Interestingly, none of these has been practically evaluated. We accomplish this task and pr...
A common countermeasure to thwart side-channel analysis attacks is algorithmic masking. For this, algorithms that mix Boolean and arithmetic operations need to either apply two different masking sc...
Embedded implementations of cryptographic primitives need protection against Side Channel Analysis. Stochastic attacks, introduced by Schindler et al. at CHES 2005, are an example of such an analysis....
this paper we find the lower bound of second-order nonlinearity of Boolean function $f_{\lambda}(x) = Tr_{1}^{n}(\lambda x^{p})$ with $p = 2^{2r} + 2^{r} + 1$, $\lambda \in \mathbb{F}_{2^{r}}^{*}$ and...
In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form $f(x) = Tr_{1}^{n}(\alpha_{1}x^{d_{1}} + \alpha_{2}x^{d_{2}})$,where $d_1$ and $d_2$ are Ni...
The second-order nonlinearity, and the best quadratic approximations, of Boolean functions are studied in this paper. We prove that cubic functions within the Maiorana-McFarland class achieve very hig...
Second Order Differential Power Analysis (2ODPA) is a powerful side channel attack that allows an attacker to bypass the widely used masking countermeasure. To thwart 2ODPA, higher order masking may b...
In this paper we study the lower bounds of second-order nonlinearities of bent functions constructed by modifying certain cubic Maiorana-McFarland type bent functions.
In a recent work, Mangard et al. showed that under certain assumptions, the (so-called) standard univariate side-channel attacks using a distance-of-means test, correlation analysis and Gaussian tem...
It is a difficult task to compute the r-th order nonlinearity of a given function with algebraic degree strictly greater than r > 1. Even the lower bounds on the second order nonlinearity is known onl...
We study cubic monomial Boolean functions of the form Trn 1 (x2i+2j+1) where  2 F2n. We prove that the functions of this form do not have any ane derivative. A lower bound on the second order no...
The r-th order nonlinearity of a Boolean function is an important cryptographic criterion in analyzing the security of stream as well as block ciphers. It is also impor- tant in coding theory as it ...

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