Tutueva, Aleksandra V. and Nepomuceno, Erivelton and Karimov, Artur I. and Andreev, Valery S. and Butusov, Denis N. (2022) Adaptive Chaotic Maps in Cryptography Applications. In: Cybersecurity. Springer International Publishing, England, pp. 193-205. ISBN 978-3-030-92165-1

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Abstract

Chaotic cryptography is a promising area for the safe and fast transmission, processing, and storage of data. However, many developed chaos-based cryptographic primitives do not meet the size and composition of the keyspace and computational complexity. Another common problem of such algorithms is dynamic degradation caused by computer simulation with finite data representation and rounding of results of arithmetic operations. The known approaches to solving these problems are not universal, and it is difficult to extend them to many chaotic systems. This chapter describes discrete maps with adaptive symmetry, making it possible to overcome several disadvantages of existing chaos-based cryptographic algorithms simultaneously. The property of adaptive symmetry allows stretching, compressing, and rotating the phase space of such maps without significantly changing the bifurcation properties. Therefore, the synthesis of one-way piecewise functions based on adaptive maps with different symmetry coefficients supposes flexible control of the keyspace size and avoidance of dynamic degradation due to the embedded technique of perturbing the chaotic trajectory.

Item Type:	Book Section
Keywords:	Chaotic discrete map; Zaslavsky web map; Adaptive symmetry; Chaos-based cryptography; Pseudo-random generator;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	16868
Identification Number:	https://doi.org/10.1007/978-3-030-92166-8_8
Depositing User:	Erivelton Nepomuceno
Date Deposited:	19 Jan 2023 12:47
Journal or Publication Title:	Cybersecurity
Publisher:	Springer International Publishing
Refereed:	No
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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