A secure image encryption scheme based on chaotic maps and affine transformation

Ahmad, Jawad; Hwang, Seong Oun

Abstract

Due to the interesting nonlinear dynamic properties of chaotic maps, recently chaos-based encryption algorithms have gained much attention in cryptographic communities. However, many encryption schemes do not fulfil the minimum key space requirement, which is an essential concern in many secure data applications. In this paper, an efficient chaos-based image encryption scheme with higher key space is presented. Even with a single round of encryption, a significantly larger key space can be achieved. The proposed scheme removes correlation among image pixels via random chaotic sequences, simply by XOR and addition operations. In order to resist against numerous attacks, we apply the affine transformation to get the final ciphertext image. The security of the proposed scheme is proved through histogram, contrast, PSNR, entropy, correlation, key space, key sensitivity and differential attack analysis. Many significant properties of chaotic maps, sensitivity to initial condition and control parameters, structure and attack complexity, make the anticipated scheme very reliable, practical and robust in various secure communication applications.

• Journal Article Type: Article
• Acceptance Date: Sep 28, 2015
• Online Publication Date: Oct 15, 2015
• Publication Date: 2016-11
• Deposit Date: Sep 13, 2019
• Journal: Multimedia Tools and Applications
• Print ISSN: 1380-7501
• Electronic ISSN: 1573-7721
• Publisher: BMC
• Peer Reviewed: Peer Reviewed
• Volume: 75
• Issue: 21
• Pages: 13951-13976
• DOI: https://doi.org/10.1007/s11042-015-2973-y
• Keywords: Chaotic maps; Cryptography; Key space; TD-ERCS map; PWLCM; Image encryption; Affine transformation; Security analysis; Secure communication
• Public URL: http://researchrepository.napier.ac.uk/Output/2117584