Design of Non-autonomous Chaotic Generalized Synchronization Based Pseudorandom Number Generator with Application in Avalanche Image Encryption

Abstract

Based on a generalized synchronization (GS) theorem of non-autonomous discrete chaotic systems, this paper introduces a 6-dimensional non-autonomous discrete chaotic GS system. Simulations show that the trajectories of the GS system have significant characteristics of chaotic attractor. Using the GS system designs a 216 number string chaotic pseudorandom number generator (CPRNG). SP-800 randomness test showed that the CPRNG has sound pseudo randomness. Correlation analysis shows that the key space of the CPRNG is larger than 21116. Using the CPRNG and a stream encryption scheme with avalanche effect (SESAE) encrypts an RGB image with 250 × 140 pixels. The results suggest that the CPRNG is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs.