Revisiting Mixing Transformations and Chaotic Systems with a View to Cryptographic Applications

The paper extends the study of the construction of mixing transformations with chaotic systems regarding the influence of the control parameters in image-based cryptographic applications. An improved mixing function which increases the level of diffusion and confusion in the encrypted image for different values of the control parameters is proposed. The advantage of this construction is obtaining a more complex encryption scheme by offering the possibility of expanding the key space. The chaotic systems chosen for the construction of the mixing function are the well-known logistic map and Hénon map, but other dynamic systems can also be used.