Construction of a new 2D Chebyshev-Sine map and its application to color image encryption

A new 2D Chebyshev-Sine map with natural evaluation is proposed and its dynamical behavior is analyzed. To investigate its application in information security, a color image encryption algorithm is designed. One-time initial condition expressed as ordered quaternion is extracted from colored non Gaussian noise before each encryption process. The algorithm can achieve desired effect after two rounds by exclusive or (XOR) operation with avalanche effect. Simulation results demonstrated that the speed is fast, so the algorithm is suitable for image encryption over the Cloud.