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Grayscale and colored image encryption model using a novel fused magic cube

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Abstract

In this paper, a novel method for the construction of a fused magic cube of composite order has been proposed by using the concept of compounding. The replacement of each block magic cube with its magic constant introduces the structural flexibility in the fused magic cube by allowing the variation in its order. Additionally, the properties of pseudo-randomness, the larger key space size, and structural complexity of the fused magic cube rejuvenate toward its application to the field of image encryption. The utilization of the fused magic cube in both confusion and diffusion phases of the proposed image encryption model eliminates the need of any additional component. The use of fused magic cube in the proposed encryption model enhances the security as its elements are not consecutively ranging from 1 to \(n^3\) unlike the elements of a natural magic cube of order n. Moreover, the layer shuffling in the fused magic cube has been used to raise the level of randomness in the encryption. The proposed model works on both grayscale as well as colored images of different resolutions and file formats. The experimental and security analyses validate the efficiency and reliability of the proposed model. The use of fused magic cube opens up the new direction for image encryption. The proposed model has also been applied to the medical images to guarantee the security of medical data in the telemedicine technique.

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Data availability statement

The data that support the findings of the study are available in USC-SIPI [http://sipi.usc.edu/database], https://www.pathologyoutlines.com, https://www.kaggle.com, and ISIC 2018 database.

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  1. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur, Punjab, 148106, India

    Narbda Rani & Vinod Mishra

  2. Department of Computer Science and Engineering, Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur, Punjab, 148106, India

    Suvita Rani Sharma

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Rani, N., Sharma, S.R. & Mishra, V. Grayscale and colored image encryption model using a novel fused magic cube. Nonlinear Dyn 108, 1773–1796 (2022). https://doi.org/10.1007/s11071-022-07276-y

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