Efficient Image Encryption Scheme Based on 4-Dimensional Chaotic Maps

Kanso, Ali; Ghebleh, Mohammad; Alazemi, Abdullah

doi:10.15388/20-INFOR426

Informatica

Efficient Image Encryption Scheme Based on 4-Dimensional Chaotic Maps

Volume 31, Issue 4 (2020), pp. 793–820

Ali Kanso Mohammad Ghebleh Abdullah Alazemi

https://doi.org/10.15388/20-INFOR426

Pub. online: 24 September 2020 Type: Research Article

Open Access

Received
1 February 2020

Accepted
1 August 2020

Published
24 September 2020

Abstract

This paper proposes a new family of 4-dimensional chaotic cat maps. This family is then used in the design of a novel block-based image encryption scheme. This scheme is composed of two independent phases, a robust light shuffling phase and a masking phase which operate on image-blocks. It utilizes measures of central tendency to mix blocks of the image at hand to enhance security against a number of cryptanalytic attacks. The mixing is designed so that while encryption is highly sensitive to the secret key and the input image, decryption is robust against noise and cropping of the cipher-image. Empirical results show high performance of the suggested scheme and its robustness against well-known cryptanalytic attacks. Furthermore, comparisons with existing image encryption methods are presented which demonstrate the superiority of the proposed scheme.

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Biographies

Kanso Ali

ali.kanso@ku.edu.kw

A. Kanso is an associate professor of mathematics at Kuwait University, Kuwait. He received his BSc degree in mathematics from Queen Mary and Westfield College (University of London), in 1994. He earned his MSc degree in applied computing technology in the Electronic Engineering Department of Middlesex University, in 1996. In 1999 he obtained his PhD in mathematics from Royal Holloway and Bedford New College (University of London). His research interests include chaos-based encryption systems, information hiding, hash functions, secret sharing, and graph theory.

Ghebleh Mohammad

mohammad.ghebleh@ku.edu.kw

M. Ghebleh is an associate professor of mathematics at Kuwait University, Kuwait. He received his BSc and MSc in mathematics from Sharif University of Technology, Tehran, Iran (1997 and 1999), and his PhD in mathematics from Simon Fraser University, Burnaby, British Columbia, Canada (2007). His research interests include graph theory, combinatorics, and digital security topics such as encryption, data hiding, hash functions, and secret sharing.

Alazemi Abdullah

abdullah.alazemi@ku.edu.kw

A. Alazemi is an associate professor of mathematics at Kuwait University, Kuwait. He received his BSc in mathematics from Kuwait University, Kuwait. He earned his MSc and PhD in mathematics from Colorado State University, Colorado, the United States (2004 and 2007). His research interests include incidence structures, classification problems, spectral graph theory, graph theory, combinatorics and algebra.

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cryptography chaos cat map pseudorandom numbers image encryption

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