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Image cryptosystem based on plain image correlation rate and selective chaotic maps

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Abstract

In this paper, a new image encryption algorithm is introduced for encrypting grayscale digital images of any size. To improve the encryption evaluation parameters, we suggested that the value of the plain image correlation coefficient be effective in the cryptographic process, so plain images with different properties and correlation coefficient rates are encrypted in different ways. According to the average absolute value of correlation coefficient of plain image, Logistic or Tent maps is selected to generate chaotic sequences to expand plain image matrix. As the first step of the diffusion phase, the plain image matrix is developed with larger size by proper selected chaotic sequences, and simultaneously a chaotic matrix with the same size is generated by chaotic Sine map sequences. In confusion phase, the modified Lorenz map changes pixel locations of new developed matrix by means of certain equations. Then bitwise XOR is applied between developed matrix include plain image and Sine map chaotic matrix, as second step of diffusion phase. Finally, encrypted image is generated after applying exchange operations on the content of pixels, as third step of diffusion phase. Experimental results and comparisons with some of the existing methods, show that the proposed image cryptosystem is able to resist common cryptanalytic attacks and can be used as a secure method for encrypting digital images.

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Authors and Affiliations

  1. Department of Computer Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran

    Ahmad Pourjabbar Kari & Amir Massoud Bidgoli

  2. Department of Computer Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran

    Ahmad Habibizad Navin

  3. Department of Mathematics and Computer Sciences, University of Tabriz, Tabriz, Iran

    Mirkamal Mirnia

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  1. Ahmad Pourjabbar Kari
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  2. Ahmad Habibizad Navin
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  3. Amir Massoud Bidgoli
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  4. Mirkamal Mirnia
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Correspondence to Amir Massoud Bidgoli.

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Kari, A.P., Navin, A.H., Bidgoli, A.M. et al. Image cryptosystem based on plain image correlation rate and selective chaotic maps. Multimed Tools Appl 81, 20483–20508 (2022). https://doi.org/10.1007/s11042-022-12071-3

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