Four-dimensional Hopfield neural network image encryption method based on quantum Fourier transformation

Abstract

In view of the shortcomings of the traditional three-dimensional Hopfield neural network, the invention presents a four-dimensional Hopfield neural network image encryption method based on quantum Fourier transformation. First, a hyper-chaotic sequence of a four-dimensional Hopfield neural network is generated with the aid of plaintext information and an input key. Then, a quantum chaotic sequenceis generated with the aid of a mapping NCML network through quantum Fourier transformation to carry out secondary encryption in order to improve the shortcoming of the traditional quantum Fourier without chaotic characteristic. Finally, Arnlod scrambling is introduced to get a final ciphertext. The simulation experiment shows that the algorithm not only can effectively resist statistical featureattack and differential attack, but also can greatly improve the shortcomings of the traditional three-dimensional Hopfield neural network such as low dynamic complexity and small Lyapunov index, andachieve a good encryption effect.

Description

technical field [0001] The invention belongs to a grayscale image encryption method, and more specifically relates to a novel quantum Fourier transform four-dimensional Hopfield neural network image encryption method. Background technique [0002] With the rapid development of Internet technology, the transmission of image information has become an indispensable link in people's lives. However, the security risks in the image transmission process using the Internet as a carrier have attracted more and more attention from scholars at home and abroad. Traditional encryption methods, such as Data Encryption Standard (DES), Triple Data Encryption Standard (3-DES), International Data Encryption Algorithm (IDEA), Improved Encryption Standard (AES) and RSA (Rivest-Shamir-Adleman), are Designed for text information encryption, it is not suitable for fast and safe encryption of image information with strong pixel correlation and large redundancy. In recent years, experts have pointe...

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Problems solved by technology

In recent years, experts have pointed out that chaotic sequences have the characteristics of high sensitivity to initial conditions, positive Lyapunov exponent, fractal and fractal dimensions, etc., and successively proposed a variety of image encryption methods based on chaotic systems, such as one-time encryption, bit encryption, Mathematical model encryption and DNA sequence encryption, but the above methods have certain defects, such as the one-time pad key is very difficult to transmit and distribute; the bit encryption method needs to convert all pixel values ​​into binary for image encryption when encrypting , so that the encryption efficiency is relatively low and time-consuming; the factors to be considered in the mathematical model encryption method are not conducive to the realization of the encryption algorithm; and the pixel correlation coefficient in the DNA sequence encryption method is high and easy to be decrypted by an attacker

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