An image encryption scheme based on public key cryptosystem and quantum logistic map

Guodong Ye,Wun-She Yap,Kaixin Jiao,Bok-Min Goi,Xiaoling Huang

doi:10.1038/s41598-020-78127-2

Guodong Ye, Wun-She Yap + Show 3 more

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https://doi.org/10.1038/s41598-020-78127-2

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Abstract

Most of existing image encryption schemes are proposed in the spatial domain which easily destroys the correlation between pixels. This paper proposes an image encryption scheme by employing discrete cosine transform (DCT), quantum logistic map and substitution-permutation network (SPN). The DCT is used to transform the images in the frequency domain. Meanwhile, the SPN is used to provide the security properties of confusion and diffusion. The SPN provides fast encryption as compared to the asymmetric based image encryption since operations with low computational complexity are used (e.g., exclusive-or and permutation). Different statistical experiments and security analysis are performed against six grayscale and color images to justify the effectiveness and security of the proposed image encryption scheme.

Highlights

Most of existing image encryption schemes are proposed in the spatial domain which destroys the correlation between pixels
For illustration purposes, RSA34 is selected as the public key encryption scheme
An image encryption scheme based on public key cryptosystems, quantum logistic map, discrete cosine transform and substitution–permutation network has been proposed

Summary

Introduction

Most of existing image encryption schemes are proposed in the spatial domain which destroys the correlation between pixels. This paper proposes an image encryption scheme by employing discrete cosine transform (DCT), quantum logistic map and substitution-permutation network (SPN). The techniques are based on chaos theory[2,3,4], compressed sensing[5,6,7], DNA c oding[8,9,10] and quantum communication[11,12,13] Out of these techniques, chaos theory introduced by Lorenz[14] is widely used for image encryption due to the states of chaotic systems are apparently random and irregular under the control of highly sensitive initial values. Along the direction of chaos theory, Sui et al.[15] proposed a double-image encryption method based on optical interference and logistic map, which effectively avoids the contour problem in the interference encryption method. A quantum image encryption algorithm was proposed based on the generalized Arnold transform and double random phase encoding technique.

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