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Advances in Multimedia
Volume 2014, Article ID 409586, 15 pages
http://dx.doi.org/10.1155/2014/409586
Research Article

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

1Faculty of Computer Science, Titu Maiorescu University, 040051 Bucharest, Romania
2IT & C Department, University of South-East Europe Lumina, 021187 Bucharest, Romania

Received 15 January 2014; Revised 16 April 2014; Accepted 27 April 2014; Published 2 June 2014

Academic Editor: Stefanos Kollias

Copyright © 2014 Radu Boriga et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.