A Novel Color Image Encryption Scheme Based on Hyperchaos and Hopfield Chaotic Neural Network

Abstract

Problems such as insufficient key space, lack of a one-time pad, and a simple encryption structure may emerge in existing encryption schemes. To solve these problems, and keep sensitive information safe, this paper proposes a plaintext-related color image encryption scheme. Firstly, a new five-dimensional hyperchaotic system is constructed in this paper, and its performance is analyzed. Secondly, this paper applies the Hopfield chaotic neural network together with the novel hyperchaotic system to propose a new encryption algorithm. The plaintext-related keys are generated by image chunking. The pseudo-random sequences iterated by the aforementioned systems are used as key streams. Therefore, the proposed pixel-level scrambling can be completed. Then the chaotic sequences are utilized to dynamically select the rules of DNA operations to complete the diffusion encryption. This paper also presents a series of security analyses of the proposed encryption scheme and compares it with other schemes to evaluate its performance. The results show that the key streams generated by the constructed hyperchaotic system and the Hopfield chaotic neural network improve the key space. The proposed encryption scheme provides a satisfying visual hiding result. Furthermore, it is resistant to a series of attacks and the problem of structural degradation caused by the simplicity of the encryption system’s structure.

Advances and Vulnerabilities in Modern Cryptographic Techniques: A Comprehensive Survey on Cybersecurity in the Domain of Machine/Deep Learning and Quantum Techniques

“…In [191], Sha et al employed fractional-order Hopfield neural networks (FO-HNN) and a three-input logic valvebased diffusion technique in cryptography for enhanced image security. In [192], Wu et al proposed a color image encryption scheme to secure grayscale images. A distinct five-dimensional hyperchaotic system [193] with the HCNN is integrated into their encryption algorithm.…”

An image encryption algorithm based on a 3D chaotic Hopfield neural network and random row–column permutation

“…Chen et al [46] proposed a threedimensional fractional-order discrete Hopfield neural network. Wu et al [47] applied the Hopfield chaotic neural network together with the novel hyperchaotic system to propose a new color image encryption algorithm. The purpose of this study is to investigate a simple but efficient image-encryption algorithm based on a chaotic Hopfield neural network model.…”

A new 4‐D hyperchaotic two‐scroll system with hidden attractor and its field‐programmable gate array implementation

“…Recent research studies show the application of hyperchaotic systems in several engineering areas such as robotics, 1 memristors, 2–4 neural networks, 5,6 encryption, 7,8 and circuits 9,10 . In the hyperchaos literature, there is also a significant interest in developing hyperchaotic systems with no rest points, as such systems are known to possess hidden attractors 11–13 …”