Another Constructed Chaotic Image Encryption Scheme Based on Toeplitz Matrix and Hankel Matrix

Article type: Research Article

Authors: Ye, Guodong

Affiliations: College of Science, Guangdong Ocean University, Zhanjiang 524088, Guangdong, China. [email protected]

Note: [] Address for correspondence: College of Science, Guangdong Ocean University, Zhanjiang 524088, Guangdong, China

Abstract: This paper presents a novel image encryption scheme based on Toeplitz matrix and Hankel matrix. According to the definition and the expression of Toeplitz matrix and Hankel matrix, we permutate the positions of image pixels to confuse the relationship between the plain-image and cipher-image, and construct a new key. To enhance security further, hyper-chaos system of Lü and Chen is taken to change the grey distribution of image pixels simultaneously. Numerical experimental results demonstrate that the key space is large enough, and the key is sensitive to initial conditions to resist the brute-force attack in the proposed scheme. Additionally, the distribution of grey values in encrypted image has a random-like behavior to resist statistical analysis. The proposed encryption scheme in this paper can suggest a high secure and efficient way for real-time image encryption and transmission in practice.

Keywords: image encryption scheme, Toeplitz matrix, Hankel matrix, Lü and Chen’s chaotic system, security analysis

DOI: 10.3233/FI-2010-291

Journal: Fundamenta Informaticae, vol. 101, no. 4, pp. 321-333, 2010