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A novel image encryption scheme based on Arnold cat map, Newton-Leipnik system and Logistic Gaussian map

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Abstract

In the existing literature, numerous chaos-based multimedia encryption schemes have been presented. Benefiting from inherent properties such as ergodicity and key-sensitivity; this can potentially improve non-linearity in encrypted data. This paper introduces a hybrid scheme that encrypt color images using multiple chaotic maps such as the two-dimensional Arnold cat map (ACM), Newton-Leipnik dynamic system (NLDS), and a modified version of the Logistic Gaussian chaotic system (LOGAS). To make the scheme plaintext dependent, the input parameters (keys) of the chaotic maps are determined by passing the plaintext color image layers through SHA-512. Initially, the color image layers are shuffled by applying two-dimensional Arnold map scrambling. The permuted pixels were encrypted through a pseudo-random number sequences (PRNS) generated from the NLDS. To strengthen the suggested approach’s security level, the modified LOGAS were utilized to generate dynamic substitution boxes (S-boxes) to substitute the encrypted pixels. Moreover, the proposed approach is tested through various statistical tests. The adjacent pixel correlation and entropy value are close to 0 and 8, respectively. The NPCR and UACI tests values are 99% and 33%, respectively. The encrypted images histograms are flat which is close to optimal value, and the computational time is less than 2.0 sec for the proposed scheme. Thus, these findings indicate the effectiveness and better reliability of the proposed system.

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Authors and Affiliations

  1. Department of Electrical Engineering, Institute of Space Technology, Islamabad, Pakistan

    Fawad Masood

  2. College of Information Engineering Yangzhou University, Yangzhou, 225009, China

    Fawad Masood

  3. Robotics and Internet-of-Things Laboratory, Prince Sultan University, Prince Sultan, Saudi Arabia

    Wadii Boulila

  4. RIADI Laboratory, National School of Computer Sciences, University of Manouba, Manouba, Tunisia

    Wadii Boulila

  5. Department of Computer Science, College of Computer Science and Engineering, Taibah University, Medina, 42353, Saudi Arabia

    Abdullah Alsaeedi

  6. Department of Electrical and Electronics Engineering, University of Gaziantep, 27310, Gaziantep, Turkey

    Jan Sher Khan

  7. School of Computing, Edinburgh Napier University, Napier, United Kingdom

    Jawad Ahmad

  8. Department of Computer Science, Quaid-i-Azam University, Islamabad, Pakistan

    Muazzam A Khan

  9. Department of Electronic Engineering, Tsinghua University, Beijing, China

    Sadaqat Ur Rehman

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  1. Fawad Masood
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  2. Wadii Boulila
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  4. Jan Sher Khan
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  5. Jawad Ahmad
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  6. Muazzam A Khan
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Correspondence to Jan Sher Khan.

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Masood, F., Boulila, W., Alsaeedi, A. et al. A novel image encryption scheme based on Arnold cat map, Newton-Leipnik system and Logistic Gaussian map. Multimed Tools Appl 81, 30931–30959 (2022). https://doi.org/10.1007/s11042-022-12844-w

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