Title :
The effect of multi-scrolls distribution on image encryption
Author :
Radwan, Ahmed G. ; Abd-El-Hafiz, Salwa K.
Author_Institution :
Eng. Math. Dept., Cairo Univ., Cairo, Egypt
Abstract :
This paper introduces the mathematical formulation of a ID digital control multi-scroll chaotic jerk system. The eigenvalue analysis of such systems is presented and validated through different numerical examples. A generalized 2D multi-scrolls chaotic system is also presented with numerical examples. As an application, these ID and 2D chaotic systems are used in a simple encryption technique. Two different cases from each ID and 2D multi-scrolls, having a total of 12 scrolls under the same initial conditions, are utilized as a random source after postprocessing. Correlation coefficients, differential attack measures and histograms are used to evaluate the encrypted images as well as the effect of the used nonlinear block.
Keywords :
correlation methods; cryptography; digital control; image processing; 1D digital control multiscroll chaotic jerk system mathematical formulation; 2D multiscroll chaotic distribution system; correlation coefficient; image encryption; nonlinear block; Chaotic communication; Correlation coefficient; Eigenvalues and eigenfunctions; Encryption; Multiplexing; Chaotic system; Controlled chaos; Encryption; Multi-scrolls;
Conference_Titel :
Electronics, Circuits and Systems (ICECS), 2014 21st IEEE International Conference on
DOI :
10.1109/ICECS.2014.7050015
