Abstract
In this work, the synchronization of nonidentical coupled discrete time hyperchaotic systems is mainly investigated. Based on observer design, synchronization-sufficient conditions, using Borne and Gentina criterion for stability study and Benrejeb arrow form matrix for system description, are proposed and used to build an asymmetric cryptosystem in order to secure medical image transmission. The difference between original images and their corresponding encrypted or decrypted images was measured using mean square error, peak signal-to-noise ratio and structural similarity index measure. The effectiveness of the proposed encryption and decryption processes is considered against brute force attack and statistical attacks including key space analysis, histogram analysis, correlation analysis, correlation analysis of adjacent pixels and information entropy analysis.
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