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ICFCM-MIE: Improved Cosine Fractional Chaotic Map based Medical Image Encryption

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Abstract

Advanced healthcare applications such as telemedicine, smart health, and e-health transmit digital images over an open and insecure communication network. Hence, it becomes mandatory to protect these images from eavesdropping to protect patients’ sensitive data. In last two decades, researchers have proposed many chaotic map based medical image cryptosystems. However, many of these systems have used chaotic maps that have a small chaotic range, and suffer from the issue of blank and stable windows. Motivated by the fact, the work in this paper proposes a new chaotic map referred to as an Improved Cosine Fractional Chaotic Map (ICFCM). This proposed map has wider and uniform chaotic range, more positive Lyapunov exponent, and does not have blank and stable windows. Also, we design a medical image encryption scheme using combination of ICFCM and DNA operation. The scheme takes four steps to encrypt an image. In the first step, three intermediate keys (\(Key1\), \(Key2\), \(Key3\)) are produced. The second step generates three chaotic sequences using three different chaotic maps the novel ICFCM, Tangent over Cosine Cosine (ToCC) map, and Chebyshev map. The third phase performs Deoxyribonucleic Acid (DNA) encoding and diffusion using DNA operation. In the last phase, the three components of the color cipher image are created by applying the DNA addition operation between DNA encoded image color components, and distinct DNA encoded chaotic sequences for each component. The use of three different chaotic sequences to encrypt three different color components, respectively, gives resistance against various attacks. The value of the security parameters Number of Pixels Change Rate (NPCR), Unified Average Changing Intensity (UACI), and Information entropy, obtained by the proposed scheme are, 99.67,33.63, and 7.9993, respectively.

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  1. Department of Electronics and Communication Engineering, National Institute of Technology, Kurukshetra, India

    Shelza Dua

  2. Department of Computer Engineering, National Institute of Technology, Kurukshetra, India

    Atul Kumar, Mohit Dua & Deepti Dhingra

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  1. Shelza Dua
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Dua, S., Kumar, A., Dua, M. et al. ICFCM-MIE: Improved Cosine Fractional Chaotic Map based Medical Image Encryption. Multimed Tools Appl (2023). https://doi.org/10.1007/s11042-023-17438-8

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