Hardware implementations of cryptographic algorithms are vulnerable to fault analysis attacks. To detect these attacks we propose an architecture based on robust nonlinear systematic (n,k)-error-detecting codes. These nonlinear codes offer advantages over linear codes since they are capable of providing uniform error detecting coverage independently of the error distributions. They make no assu...

This paper is concerned with the following second-order nonlinear differential equation: x (2n) (t) + n+1 k=1 f k (x (k–1) (t))x (k) (t) – g(t, x(t)) = e(t). By applying Mawhin's continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence and uniqueness of periodic solutions for the above equation. Some recent results are known as the special cases of...

In this paper, a normal form for nonlinear control systems with a single-input by studying its k-jet is found. It is a generalization of linear Brunovsky form to nonlinear control systems. A set of invari-ants which characterizes the homogeneous parts of a control system is also found. Then the problem of convergence and uniqueness of the normal forms is studied.

Nomenclature F = state transition matrix H = matrix giving the ideal/noiseless connection between measurements and states I = identity matrix k = time index L = noise sensitivity matrix in nonlinear systems N = lag time constant integer P = estimation-error covariance matrix s = arbitrary time step used in inductive proof xk = state at time index k x̂ = state estimate x̂k = a priori state estimat...

We prove that the binomials xp s+1 − αxpk+p2k+s define perfect nonlinear mappings inGF (p3k) for appropriate choices of the integer s and α ∈ GF (p3k). We show that these binomials are inequivalent to known perfect nonlinear monomials. As a consequence we obtain new commutative semifields for p ≥ 5 and odd k.

The linear and nonlinear kinetic properties of electrostatic oblique waves below the lower hybrid frequency are investigated. For propagation angles # = k k =k ? < q m e =m i the waves are damped by either parallel electron Landau or ion cyclotron damping. For T i =T e 1 the waves are only weakly damped and can propagate. These waves are called slow ion cyclotron (SIC) and slow ion acoustic (SI...

We examine, both theoretically and experimentally, the temperature dependence of the nonlinear optical response of fluorescein doped boric-acid glass. The third-order nonlinear susceptibility is increased by an order of magnitude over its room temperature value to greater than 10 esu by cooling the sample to a temperature below 200 K.

In this paper, we apply nonlinear techniques (Self-Organizing Maps, k-nearest neighbors and the k-means algorithm) to evaluate the official Spanish mutual funds classification. The methodology that we propose allows us to identify which mutual funds are misclassified in the sense that they have historical performances which does not conform with the investment objectives established in their of...

We introduce the notion of k-bent function, i.e., a Boolean function with even numberm of variables v1, . . . , vm that can be approximated with all functions of the form 〈u,v〉j ⊕ a in the equally bad manner, where u ∈ Z2 , a ∈ Z2, and 1 6 j 6 k. Here 〈·, ·〉j is an analog of the inner product of vectors; k changes from 1 to m/2. The operations 〈·, ·〉k , 1 6 k 6 m/2, are defined by using the spe...

, 2323 (2000); 290 Science Sam T. Roweis and Lawrence K. Saul Nonlinear Dimensionality Reduction by Locally Linear Embedding This copy is for your personal, non-commercial use only. clicking here. colleagues, clients, or customers by , you can order high-quality copies for your If you wish to distribute this article to others here. following the guidelines can be obtained by Permission to repu...