A generalized chaotic encryption system for multimedia applications

R. Hasimoto-Beltrán

Abstract


Recently, several encryption schemes based on 1, 2, and 4 one-dimensional chaotic maps have been presented in the literature (see Ref. 1). The idea of increasing the number of maps is to provide more security and robustness to chaos-based cryptographic systems. In this paper, we propose a generalized encryption scheme based on $N$ one-dimensional coupled chaotic maps, where only a window of $m$ maps at a time (m $ \le $ N) is active for the encryption process. The m-map window is randomly updated by shifting it circle-wise one map at a time through the entire N-map system. To add more security to the system, we randomly perturb the coupling parameter using current cyphertext output (spatiotemporal or global feedback); so that any change in the input data (plaintext) is reflected instantly in the total system (not only locally). Our generalized implementation is based on the scheme presented in Ref. 1, but it can also be implemented in any chaos based encryption scheme. Our approach adds more robustness to the system, maintaining excellent statistical properties and fast performance for real-time multimedia applications.

Keywords


Discrete chaotic encryption; block ciphers; symmetric encryption; coupled maps

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REVISTA MEXICANA DE FÍSICA, year 67, issue 2, March-April 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, March 1st., 2021.

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