Abstract.Double logistic maps are used in the proposed image encryption scheme, in which the digital matrix of image is confused from row and column respectively. Confusion and diffusion effects are carried out solely by the substitution and diffusion stages in this paper. The two one-dimensional logistic functions are combined as a two-dimensional chaotic function. Then in the confusion process, Chen's system is employed. Numerical simulations show that the proposed scheme can suggest an efficient way for image encryption including large key space, sensitive dependence on initial conditions and a random-like behavior of the distribution of gray values in encrypted image. It solves somewhere the row security problem of single one-dimensional chaotic function.

Received: June 5, 2009

AMS Subject Classification: 40C05, 68U10, 68P25, 94A60

Key Words and Phrases: matrix, image encryption, logistic map, folding

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 1