On the Security Analysis of a Hopfield Chaotic Neural Network-Based Image Encryption Algorithm

Yingchun Hu,Zeqing Zhang,Simin Yu

doi:10.1155/2020/2051653

Abstract

In this paper, the security analysis of a color image encryption algorithm based on Hopfield chaotic neural network is given. The original chaotic image encryption algorithm includes permutation encryption and diffusion encryption. The result of cryptanalysis shows that the chaotic sequences generated by this algorithm are independent of plaintext image, and there exist equivalent permutation key and equivalent diffusion key. Therefore, according to chosen-plaintext attack, the equivalent diffusion key and the equivalent permutation key can be obtained by choosing two special plaintext images and the corresponding ciphertext images, respectively, and the plaintext image is further recovered from the ciphertext image. Theoretical analysis and numerical simulation experiment results verify the effectiveness of the analytical method. Finally, some improved suggestions for the original encryption algorithm are proposed to promote the security.

Highlights

With the rapid development of network technology, the security and privacy protection problems of multimedia information have become a hot subject
In [20], the cryptanalysis of an image encryption cryptosystem based on binary bit planes extraction and multiple chaotic maps (IEC-BPMC) proposed in [1] is given; it is pointed out that IEC-BPMC is insecure against chosen-plaintext attack
In [21], the security analysis of an image chaotic encryption algorithm based on Latin cubes and bit cubes presented in [2] is proposed; it is reported that the generation of Latin cubes is independent of plain image, while in the diffusion stage, when any one bit in the plain image changes, the corresponding number of bits in the cipher image follows the change with obvious regularity

Summary

Introduction

With the rapid development of network technology, the security and privacy protection problems of multimedia information have become a hot subject. In [27], the cryptanalysis of an image encryption algorithm with one round diffusion structure proposed in [9] is reported to find that the original encryption algorithm has equivalent secret keys, so that it can be deciphered by known-plaintext and chosen-plaintext attack. In [28], it is pointed out that permutation-only encryption structure presented in [10] is insecure against known-plaintext attack and chosen-plaintext attack, respectively; for given image of size MN, the original encryption algorithm is cracked by only using 􏼆logL(MN)􏼇 plaintext-ciphertext images. In [30], the security analysis of an image encryption algorithm based on 2D Henon-Sine map and DNA proposed in [17] is given; it is found that cipher image can be cracked by utilizing chosen-plaintext attack without known keys, and its attack complexity is O(18).

Chaotic Encryption Algorithm under Study

Cryptanalysis

Recover the Plaintext Image by Using the Equivalent

The Numerical Simulation Experiments for Breaking CIEA-HCNN

Conclusions