Pseudorandom Number Generator Using a Chaotic System

In this paper, a proposal of a pseudorandom number generator is presented by a modification of the Van de Pol equation proposed by Ueda and Akamatsu as a negative resistance forced oscillator. The proposal has been divided into two parts; the first part consists of the simulation of the system of equations using the mathematical computation tool MATLAB. Its estimated solutions were obtained for each of its variables using the fourthorder Runge-Kutta method, being this a quite popular and reliable numerical method for the approximation of the solution of differential equations. The system, having chaotic characteristics when using a certain range of values in its constants, and the solutions obtained using the numerical method were considered as values that could present pseudo-random characteristics. The second part consists of substantiating, using the statistical tests for random and pseudo-random values proposed by NIST.

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Publication Details

Published
2024-10-16
DOI
https://doi.org/10.1109/cimps65195.2024.11095931
Primary Topic
Chaos-based Image/Signal Encryption
Type
article
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Pseudorandom Number Generator Using a Chaotic System

P Juan José Raygoza, Susana Ortega Cisneros, Cos A, Marley Becerra et al.
1 links
Chaos-based Image/Signal Encryption
article

Pseudorandom Number Generator Using a Chaotic System

P Juan José Raygoza, Susana Ortega Cisneros, Cos A, Marley Becerra, Daniel A. Perez Amezcua, Gualberto C. Solis Perales
article en

Abstract

In this paper, a proposal of a pseudorandom number generator is presented by a modification of the Van de Pol equation proposed by Ueda and Akamatsu as a negative resistance forced oscillator. The proposal has been divided into two parts; the first part consists of the simulation of the system of equations using the mathematical computation tool MATLAB. Its estimated solutions were obtained for each of its variables using the fourthorder Runge-Kutta method, being this a quite popular and reliable numerical method for the approximation of the solution of differential equations. The system, having chaotic characteristics when using a certain range of values in its constants, and the solutions obtained using the numerical method were considered as values that could present pseudo-random characteristics. The second part consists of substantiating, using the statistical tests for random and pseudo-random values proposed by NIST.

Universidad de Guadalajara (MX), Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional (MX)
Openalex Percentile: Top 69%
Chaos-based Image/Signal Encryption
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