An efficient image encryption algorithm based on a novel chaotic map

Abstract

In this paper, we propose a novel low dimensional chaotic map, namely, compounded piecewise linear map (CPLM) in order to balance between security and computational complexity. Then we prove the chaotic properties of CPLM theoretically and numerically. Based on the CPLM, an efficient chaotic image encryption algorithm is presented, in which the self-adaptive model and feedback mechanism are initially mingled to enhance the security. Besides, initial values of iteration are generated in a new way to ensure the sensitivity for the changes of plain-image. Simulation results show that our scheme possesses the high key sensitivity, large key space, fast encryption speed and resists the common attacks, especially differential attack. In addition, our algorithm satisfies the applicabilities of all-zero image and binary image which are seldom considered in the existing algorithms. The proposed algorithm justifies the superior security and good efficiency, which can be regarded as an excellent candidate for practical applications of image encryption.