A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis

A novel Chua's based 2-D chaotic system and its performance analysis in cryptography

In this study, the chaotic behavior of a second-order circuit comprising a nonlinear resistor and Chua's diode is investigated. This circuit, which includes a nonlinear capacitor and resistor among its components, is considered one of the simplest nonautonomous circuits. The research explores various oscillator characteristics, emphasizing their chaotic properties through bifurcations, Lyapunov exponents, periodicity, local Lyapunov region, and resonance. The system exhibits both stable equilibrium points and a chaotic attractor. Additionally, the second objective of this study is to develop a novel cryptographic technique by incorporating the designed circuit into the S-box method. The evaluation results suggest that this approach is suitable for secure cryptographic applications, providing insights into constructing a cryptosystem for images and text based on its complex behavior. Real-life data were analyzed using various statistical and performance criteria after applying the proposed methodology. These findings enhance the reliability of the cryptosystems. Moreover, The proposed methods are assessed using a range of statistical and performance metrics after testing the text and images. The cryptographic results are compared with existing techniques, reinforcing both the developed cryptosystem and the performance analysis of the chaotic circuit.

Exploiting Dynamic Vector-Level Operations and a 2D-Enhanced Logistic Modular Map for Efficient Chaotic Image Encryption

Over the past few years, chaotic image encryption has gained extensive attention. Nevertheless, the current studies on chaotic image encryption still possess certain constraints. To break these constraints, we initially created a two-dimensional enhanced logistic modular map (2D-ELMM) and subsequently devised a chaotic image encryption scheme based on vector-level operations and 2D-ELMM (CIES-DVEM). In contrast to some recent schemes, CIES-DVEM features remarkable advantages in several aspects. Firstly, 2D-ELMM is not only simpler in structure, but its chaotic performance is also significantly better than that of some newly reported chaotic maps. Secondly, the key stream generation process of CIES-DVEM is more practical, and there is no need to replace the secret key or recreate the chaotic sequence when handling different images. Thirdly, the encryption process of CIES-DVEM is dynamic and closely related to plaintext images, enabling it to withstand various attacks more effectively. Finally, CIES-DVEM incorporates lots of vector-level operations, resulting in a highly efficient encryption process. Numerous experiments and analyses indicate that CIES-DVEM not only boasts highly significant advantages in terms of encryption efficiency, but it also surpasses many recent encryption schemes in practicality and security.

Efficient S-box construction based on quantum-inspired quantum walks with PSO algorithm and its application to image cryptosystem

Amidst the growth of the internet and communication technologies, the requirements for the security of data transmitted via these technologies are increasing. Visual data, like images and videos, are commonly utilized for representing the majority of data due to its having more detailed information. Until now, the physical implementation of quantum computers does not have enough capability for hacking any traditional image cryptosystem, but amidst the growth of quantum resources, enough capability may be available in the near future. Most data represented by images has a long lifetime, like personal, medical, military, etc. Therefore, new quantum-inspired-based designs for image cryptosystems are required to be performed on digital resources and have the capability of defying the potential attacks from digital and quantum resources. In this study, a new substitution box (S-box) mechanism is proposed, which is based on quantum-inspired quantum walks, Hénon map, and a customized particle swarm optimization algorithm. Performance analysis of the suggested S-box proves its effectiveness and its reliability in designing various cryptosystems. Based on the effectiveness of the presented S-box, a new image cryptosystem is proposed, in which its experiential outcomes prove its efficacy and security against various attacks. The average outcome of entropy is 7.99977, UACI is 33.484%, NPCR is 99.618%, and Chi-square is 249.481 for the constructed cipher images.