scholarly journals Hardware Trojans detection in chaos-based cryptography

2017 ◽  
Vol 65 (5) ◽  
pp. 725-732
Author(s):  
M. Melosik ◽  
P. Sniatala ◽  
W. Marszalek
Keyword(s):  
Discrete System ◽  
Logistic Map ◽  
Electronic Circuits ◽  
Hardware Trojans ◽  
Numerical Examples ◽  
Simple Result

Abstract The paper deals with the security problems in chaotic-based cryptography. In particular, the 0–1 test for chaos is used to detect hardware Trojans in electronic circuits – generators of chaotic bit sequences. The proposed method of detecting hardware Trojans is based on analyzing the original bit sequences through the 0–1 test yielding a simple result, either a number close to 1, when the examined bit sequence is chaotic, or a number close to 0, when the sequence is non-chaotic. A complementary result is a graph of translation variables qc and pc which form a basis of the 0–1 test. The method does not require any extra corrections and can be applied to relatively short sequences of bits. This makes the method quite attractive as the security problems are dealt with at the chaotic generator level, with no need to apply any extractors of randomness. The method is illustrated by numerical examples of simulated Trojans in chaotic bit generators based on the analog Lindberg circuit as well as a discrete system based on the logistic map.

scholarly journals On a new property of the arcs of the equilateral hyperbola

1837 ◽  
Vol 3 ◽  
pp. 258-258
Keyword(s):  
Numerical Examples ◽  
Simple Result ◽  
Analytical Process ◽  
Constant Quantity ◽  
The Difference ◽  
Experimental Researches

By an analytical process, the author arrives at the following theorem, namely, if three abscissæ of an equilateral hyperbola be materially dependent by reason of two assumed equations, which are symmetrical with respect to these three abscissæ, the sum of the arcs subtended by them is equal to three quarters of the product of the same abscissæ, or only differs therefrom by a constant quantity. In order to satisfy himself of the correctness of this theorem, the author calculated various numerical examples, which entirely confirmed it. This simple result is essentially a relation between three arcs of the equilateral hyperbola, and is by no means reducible to a relation between two; and therefore is not reducible to the celebrated theorem of Fagnani, concerning the difference of two arcs of an ellipse or hyperbola, nor to any other known property of the curve. The reading of Mr. Faraday’s Sixth Series of Experimental Researches in Electricity was commenced.

scholarly journals Exponential Synchronization for Impulsive Dynamical Networks

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Lijun Pan ◽  
Jinde Cao
Keyword(s):  
Differential Inequality ◽  
Discrete System ◽  
Kronecker Product ◽  
Exponential Synchronization ◽  
Impulsive Effects ◽  
Dynamical Networks ◽  
Numerical Examples ◽  
Linear Discrete System ◽  
Theoretical Results ◽  
Impulsive Differential Inequality

This paper is devoted to exponential synchronization for complex dynamical networks with delay and impulsive effects. The coupling configuration matrix is assumed to be irreducible. By using impulsive differential inequality and the Kronecker product techniques, some criteria are obtained to guarantee the exponential synchronization for dynamical networks. We also extend the delay fractioning approach to the dynamical networks by constructing a Lyapunov-Krasovskii functional and comparing to a linear discrete system. Meanwhile, numerical examples are given to demonstrate the theoretical results.

DC TOLERANCE ANALYSIS OF NONLINEAR CIRCUITS USING SET-VALUED FUNCTIONS

2008 ◽  
Vol 17 (05) ◽  
pp. 785-796 ◽  
Author(s):  
KIYOTAKA YAMAMURA ◽  
YASUAKI HAGA
Keyword(s):  
Nonlinear Equations ◽  
Efficient Algorithm ◽  
Computation Time ◽  
Tolerance Analysis ◽  
Nonlinear Circuits ◽  
Systems Of Nonlinear Equations ◽  
Electronic Circuits ◽  
Solution Sets ◽  
Numerical Examples ◽  
Practical Computation

In the tolerance analysis of electronic circuits, the concept of set-valued function is often useful. In this paper, an efficient algorithm is proposed for finding all solution sets of nonlinear resistive circuits described by systems of nonlinear equations containing set-valued functions termed piecewise-trapezoidal (PWT) functions. By numerical examples, the effectiveness of the proposed algorithm is confirmed from various viewpoints. It is also shown that the proposed algorithm could find all solution regions to a system of 1000 PWT equations in practical computation time.

Interactions Between Al and Cr Thin Films

1976 ◽  
Vol 34 ◽  
pp. 638-639
Author(s):  
R. M. Anderson ◽  
T. M. Reith ◽  
M. J. Sullivan ◽  
E. K. Brandis
Keyword(s):  
Thin Films ◽  
Room Temperature ◽  
Vacuum System ◽  
Processing Temperature ◽  
Diffusion Couples ◽  
Electronic Circuits ◽  
Intermetallic Formation ◽  
Si Substrates ◽  
Aluminum Silicon

Thin films of aluminum or aluminum-silicon can be used in conjunction with thin films of chromium in integrated electronic circuits. For some applications, these films exhibit undesirable reactions; in particular, intermetallic formation below 500 C must be inhibited or prevented. The Al films, being the principal current carriers in interconnective metal applications, are usually much thicker than the Cr; so one might expect Al-rich intermetallics to form when the processing temperature goes out of control. Unfortunately, the JCPDS and the literature do not contain enough data on the Al-rich phases CrAl7 and Cr2Al11, and the determination of these data was a secondary aim of this work.To define a matrix of Cr-Al diffusion couples, Cr-Al films were deposited with two sets of variables: Al or Al-Si, and broken vacuum or single pumpdown. All films were deposited on 2-1/4-inch thermally oxidized Si substrates. A 500-Å layer of Cr was deposited at 120 Å/min on substrates at room temperature, in a vacuum system that had been pumped to 2 x 10-6 Torr. Then, with or without vacuum break, a 1000-Å layer of Al or Al-Si was deposited at 35 Å/s, with the substrates still at room temperature.

Regulation of a Decentralized Discrete System Having Delayed Interconnections

1982 ◽  
Author(s):  
A. Elkashlan ◽  
A.I.A. salama ◽  
M. El-Geneidy ◽  
O.A. Sebekhy
Keyword(s):  
Discrete System

Conservative solute transport with periodic velocity and sinusoidal source concentration in semi-infinite porous media: An analytical solution

2014 ◽  
Vol 6 (1) ◽  
pp. 1024-1031
Author(s):  
R R Yadav ◽  
Gulrana Gulrana ◽  
Dilip Kumar Jaiswal
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Laplace Transformation ◽  
Seepage Velocity ◽  
Transformation Technique ◽  
Numerical Examples ◽  
One Dimensional ◽  
Porous Domain ◽  
Conservative Solute Transport ◽  
Source Concentration

The present paper has been focused mainly towards understanding of the various parameters affecting the transport of conservative solutes in horizontally semi-infinite porous media. A model is presented for simulating one-dimensional transport of solute considering the porous medium to be homogeneous, isotropic and adsorbing nature under the influence of periodic seepage velocity. Initially the porous domain is not solute free. The solute is initially introduced from a sinusoidal point source. The transport equation is solved analytically by using Laplace Transformation Technique. Alternate as an illustration; solutions for the present problem are illustrated by numerical examples and graphs.

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