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