Abstract

Abstract The paper presents an approach to encrypt the color images using bit-level permutation and alternate logistic map. The proposed method initially segregates the color image into red, green, and blue channels, transposes the segregated channels from the pixel-plane to bit-plane, and scrambles the bit-plane matrix using Arnold cat map (ACM). Finally, the red, blue, and green channels of the scrambled image are confused and diffused by applying alternate logistic map that uses a four-dimensional Lorenz system to generate a pseudorandom number sequence for the three channels. The parameters of ACM are generated with the help of Logistic-Sine map and Logistic-Tent map. The intensity values of scrambled pixels are altered by Tent-Sine map. One-dimensional and two-dimensional logistic maps are used for alternate logistic map implementation. The performance and security parameters histogram, correlation distribution, correlation coefficient, entropy, number of pixel change rate, and unified averaged changed intensity are computed to show the potential of the proposed encryption technique.

Highlights

  • In this information age, with the advent of technology, it becomes easier for an individual to send processed data

  • The parameters of Arnold cat map (ACM) are generated with the help of Logistic-Sine map and Logistic-Tent map

  • The decryption process is just reversal encryption steps inverse chaotic confusion-diffusion using alternate logistic map (LM) followed by an inverse bit-level permutation using ACM, Logistic-Tent map (LTM), Logistic-Sine map (LSM), and Tent-Sine map (TSM)

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Summary

Introduction

With the advent of technology, it becomes easier for an individual to send processed data. To make the statistical characteristics of confusion and diffusion process more robust, the bit-level permutation techniques are employed in the algorithms [8, 20, 46]. The XOR operator is used in encryption process due to its efficient nature in diffusing the image pixels which changes the intensity values of the pixel [25, 31]. In the proposed scheme, the four-dimensional chaotic Lorenz system is employed as a key generator for the encryption algorithm. The red, green, and blue channels of the scrambled image are confused and diffused by applying an alternate LM that uses a four-dimensional Lorenz system to generate a pseudorandom number sequence for the three channels. The structure of the paper is as follows: Section 2 describes the chaotic maps used in the proposed technique, Sections 3 and 4 explain the working behind the proposed scheme and the experimental results obtained from it, respectively, and Section 5 concludes the paper

One-Dimensional LM
Two-Dimensional LM
Proposed Scheme
Bit-Level Permutation
Encryption Technique
Alternate LMs
Experimental Setup and Security Analysis
Key Space Analysis
Statistical Analysis
Correlation Coeflcient Analysis
Information Entropy
Differential Analysis
PSNR and MSE
Encryption Time Analysis
Conclusion

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