A New One-Dimensional Chaotic Map and Its Use in a Novel Real-Time Image Encryption Scheme

Abstract

We present a new one-dimensional chaotic map, suitable for real-time image encryption. Its theoretical analysis, performed using some specific tools from the chaos theory, shows that the proposed map has a chaotic regime and proves its ergodicity, for a large space of values of the control parameter. In addition, to argue for the good cryptographic properties of the proposed map, we have tested the randomness of the values generated by its orbit using NIST statistical suite. Moreover, we present a new image encryption scheme with a classic bimodular architecture, in which the confusion and the diffusion are assured by means of two maps of the previously proposed type. The very good cryptographic performances of the proposed scheme are proved by an extensive analysis, which was performed regarding the latest methodology in this field.

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“…(16) A value close to 0 of MSE indicates a good quality of the decryption process [10], while other value indicates the occurrence of error in this process. In all tests performed using proposed scheme, the value of MSE was 0 for each RGB color channel, which indicates that decryption is carried out without any loss of information.…”

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“…The computing results provide better performances compared to those obtained in [4,51]. In addition, we use simple logistic map instead of complex ones proposed in [5,32,51,54,55]. Therefore the proposed algorithm is easily implementable and more suitable for image encryption applications.…”