A novel image encryption scheme based on a linear hyperbolic chaotic system of partial differential equations

Authors:
Yushu Zhang;Di Xiao;Yonglu Shu;Jing Li
Affiliations:
College of Computer Science, Chongqing University, Chongqing 400044, PR China;College of Computer Science, Chongqing University, Chongqing 400044, PR China;College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China;College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China
Venue:
Image Communication
Year:
2013

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Abstract

Compared with general chaotic systems, a linear hyperbolic chaotic system of partial differential equations with nonlinear boundary conditions has larger parameter space, stronger sensitivity to initial condition and control parameter, better random-like behavior and so on, but it has not been employed in cryptography so far. Then using its significant properties, we present a new cryptosystem with coupled map lattices and time-varying delay. The proposed image encryption algorithm with permutation-diffusion architecture can overcome some drawbacks in the existing methods, because the sum of pixel value of original image is used for determining the permutation parameters and the previous cipher image information is utilized in the next diffusion. Theoretical analysis and computer experiments confirm that the new algorithm is efficient, practicable, and reliable, with high potential to be adopted for network security and secure communications.