Study and Evaluation of Novel Chaotic System Applied to Image Encryption with Security and Statistical Analyses

Abstract

There is no doubt that chaotic sequences attracted much attention in recent decades due to its distinctive properties. These distinct properties give the availability for the chaotic sequences to be applied in different fields. One of the fields that exploit the chaos features is the encryption field, in which chaotic sequences can be used to encrypt texts or images. The randomization attitude of the chaotic sequences can be affected by the initial condition, or by the code length. As these parameters optimized, the performance of the chaotic sequences enhanced and improved from many points of view. This paper presents study, analysis and evaluation for different chaotic sequences from the security viewpoint. The study and analysis include the standard NIST statistical test suite for random and pseudo random number generators for cryptography applications. The presented sequences are the traditional and enhanced version of chaotic sequences based on the logistic map. The new contribution of the paper is to perform the statistical tests over a range of the code lengths, and initial conditions in order to study the effect of each parameter, then optimize its values. Moreover, the proposed sequences are evaluated and applied to image encryption to verify its robustness.