Finite Precision Logistic Map between Computational Efficiency and Accuracy with Encryption Applications
Joint Authors
Sayed, Wafaa S.
Radwan, Ahmed G.
Rezk, Ahmed A.
Fahmy, Hossam A. H.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-12
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Chaotic systems appear in many applications such as pseudo-random number generation, text encryption, and secure image transfer.
Numerical solutions of these systems using digital software or hardware inevitably deviate from the expected analytical solutions.
Chaotic orbits produced using finite precision systems do not exhibit the infinite period expected under the assumptions of infinite simulation time and precision.
In this paper, digital implementation of the generalized logistic map with signed parameter is considered.
We present a fixed-point hardware realization of a Pseudo-Random Number Generator using the logistic map that experiences a trade-off between computational efficiency and accuracy.
Several introduced factors such as the used precision, the order of execution of the operations, parameter, and initial point values affect the properties of the finite precision map.
For positive and negative parameter cases, the studied properties include bifurcation points, output range, maximum Lyapunov exponent, and period length.
The performance of the finite precision logistic map is compared in the two cases.
A basic stream cipher system is realized to evaluate the system performance for encryption applications for different bus sizes regarding the encryption key size, hardware requirements, maximum clock frequency, NIST and correlation, histogram, entropy, and Mean Absolute Error analyses of encrypted images.
American Psychological Association (APA)
Sayed, Wafaa S.& Radwan, Ahmed G.& Rezk, Ahmed A.& Fahmy, Hossam A. H.. 2017. Finite Precision Logistic Map between Computational Efficiency and Accuracy with Encryption Applications. Complexity،Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1143561
Modern Language Association (MLA)
Sayed, Wafaa S.…[et al.]. Finite Precision Logistic Map between Computational Efficiency and Accuracy with Encryption Applications. Complexity No. 2017 (2017), pp.1-21.
https://search.emarefa.net/detail/BIM-1143561
American Medical Association (AMA)
Sayed, Wafaa S.& Radwan, Ahmed G.& Rezk, Ahmed A.& Fahmy, Hossam A. H.. Finite Precision Logistic Map between Computational Efficiency and Accuracy with Encryption Applications. Complexity. 2017. Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1143561
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143561