arXiv subjects

A. B. Orue

Publications and source records attributed to A. B. Orue.

4 recordsLinked to original sources

arXiv2014

Breaking Points in Quartic Maps

Dynamical systems, whether continuous or discrete, are used by physicists in order to study non-linear phenomena. In the case of discrete dynamical systems, one of the most used is the quadratic map depending on a parameter. However, some phenomena can depend alternatively of two values of the same parameter. We use the quadratic map $x_{n+1} =1-ax_{n}^{2} $ when the parameter alternates between two values during the iteration process. In this case, the orbit of the alternate system is the sum of the orbits of two quartic maps. The bifurcation diagrams of these maps present breaking points where abruptly change their evolution.

nlin.CD↗

arXiv2010

Trident, a new pseudo random number generator based on coupled chaotic maps

This article describes a new family of cryptographically secure pseudorandom number generators, based on coupled chaotic maps, that will serve as keystream in a stream cipher. The maps are a modification of a piecewise linear map, by dynamic changing of the coefficient values and perturbing its lesser significant bits.

cs.CR↗

arXiv2007

Lorenz System Parameter Determination and Application to Break the Security of Two-channel Chaotic Cryptosystems

This paper describes how to determine the parameter values of the chaotic Lorenz system used in a two-channel cryptosystem. The geometrical properties of the Lorenz system are used firstly to reduce the parameter search space, then the parameters are exactly determined, directly from the ciphertext, through the minimization of the average jamming noise power created by the encryption process.

nlin.CD↗

arXiv2007

Security problems with a SC-CNN-based Chaotic Masking Secure Communication System

This paper studies the security of a chaotic cryptosystem based on the Chua circuit and implemented with State Controlled Cellular Neural Networks. It is shown that the plaintext can be retrieved by ciphertext band-pass filtering after an imperfect decoding with wrong receiver parameters. It is also shown that the key space of the system can be notably reduced easing a brute force attack. The system parameters were determined with high precision through the analysis of the decoding error produced by the mismatch between receiver and transmitter parameters.

nlin.CD↗