A novel pseudo-random number generator from coupled map lattice with time-varying delay

A novel pseudo-random number generator from coupled map lattice with time-varying delay Chaos has been widely combined with cryptography in the field of information security, especially, a considerable amount of studies of generating pseudo-random numbers based on chaotic systems have been proposed in recent decades. However, many of them are easy to be attacked via utilizing the nonlinear prediction method based on phase space reconstruction and other analysis. Furthermore, under the finite precision environment of computer simulation, there does not exist a random sequence which is truly non-periodic. Unfortunately, few researches had made a related analysis on the above two discussions. This paper is devoted to designing a pseudo-random number generator based on coupled map lattice with time-varying delay, analyzing the random properties of the generated pseudo-random numbers and discussing the dynamical degradation of the system under finite precision of computer simulation. The proposed scheme merely depends on the determining equation; thus, the algorithm itself is not complex, which does not impose high demand on computer hardware and its efficiency is excellent. In order to meet the requirements of using the proposed pseudo-random number generator in cryptography and other practical engineering applications, the proposed pseudo-random number generator is subjected to statistical tests utilizing the well-known test suites, such as NIST SP800-22 and TestU01. Moreover, other related properties, such as permutation entropy, invariant distribution, degradation of dynamical characteristics and parameter test, are also investigated. All results illustrate that the new pseudo-random number generator can generate a high percentage of available pseudo-random numbers for scientific computer simulation and practical applications in the field of information security. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

A novel pseudo-random number generator from coupled map lattice with time-varying delay

A novel pseudo-random number generator from coupled map lattice with time-varying delay

Nonlinear Dyn (2018) 94:325–341 https://doi.org/10.1007/s11071-018-4361-4 ORIGINAL PAPER A novel pseudo-random number generator from coupled map lattice with time-varying delay Xiupin Lv · Xiaofeng Liao · Bo Yang Received: 12 June 2017 / Accepted: 11 May 2018 / Published online: 2 June 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract Chaos has been widely combined with excellent. In order to meet the requirements of using the cryptography in the field of information security, espe- proposed pseudo-random number generator in cryp- cially, a considerable amount of studies of generat- tography and other practical engineering applications, ing pseudo-random numbers based on chaotic systems the proposed pseudo-random number generator is sub- have been proposed in recent decades. However, many jected to statistical tests utilizing the well-known test of them are easy to be attacked via utilizing the non- suites, such as NIST SP800-22 and TestU01. Moreover, linear prediction method based on phase space recon- other related properties, such as permutation entropy, struction and other analysis. Furthermore, under the invariant distribution, degradation of dynamical char- finite precision environment of computer simulation, acteristics and parameter test, are also investigated. All there does not exist a random sequence which is truly results illustrate that the new pseudo-random number non-periodic. Unfortunately, few researches had made generator can generate a high percentage of available a related analysis on the above two discussions. This pseudo-random numbers for scientific computer sim- paper is devoted to designing a pseudo-random num- ulation and practical applications in the field of infor- ber generator based on coupled map lattice with time- mation security. varying delay, analyzing the random properties of the generated pseudo-random numbers and discussing the Keywords Pseudo-random number...
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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-018-4361-4
Publisher site
See Article on Publisher Site

Abstract

Chaos has been widely combined with cryptography in the field of information security, especially, a considerable amount of studies of generating pseudo-random numbers based on chaotic systems have been proposed in recent decades. However, many of them are easy to be attacked via utilizing the nonlinear prediction method based on phase space reconstruction and other analysis. Furthermore, under the finite precision environment of computer simulation, there does not exist a random sequence which is truly non-periodic. Unfortunately, few researches had made a related analysis on the above two discussions. This paper is devoted to designing a pseudo-random number generator based on coupled map lattice with time-varying delay, analyzing the random properties of the generated pseudo-random numbers and discussing the dynamical degradation of the system under finite precision of computer simulation. The proposed scheme merely depends on the determining equation; thus, the algorithm itself is not complex, which does not impose high demand on computer hardware and its efficiency is excellent. In order to meet the requirements of using the proposed pseudo-random number generator in cryptography and other practical engineering applications, the proposed pseudo-random number generator is subjected to statistical tests utilizing the well-known test suites, such as NIST SP800-22 and TestU01. Moreover, other related properties, such as permutation entropy, invariant distribution, degradation of dynamical characteristics and parameter test, are also investigated. All results illustrate that the new pseudo-random number generator can generate a high percentage of available pseudo-random numbers for scientific computer simulation and practical applications in the field of information security.

Journal

Nonlinear DynamicsSpringer Journals

Published: Jun 2, 2018

References

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