ShodhPatra: International Journal of Science and Humanities

A Study on Chaos-Based Image Encryption: Arnold Cat Map and Bogdanov Map in Action

Chaotic maps and cryptographic techniques are important for advancing digital image encryption methods. Digital images, consisting of pixels arranged in various dimensions, are often vulnerable to unauthorized access, tampering, or data extraction during transmission over networks or other media. To address these challenges, this research focuses on large-scale image encryption using Arnold Cat Map and Bogdanov map. These chaotic maps are evaluated for encryption and decryption processes in terms of metrics like time efficiency and computational complexity. Besides that, the security parameters of UACI (Unified Average Changing Intensity) and NPCR (Number of Pixels Change Rate) are tested to analyze the capability of the encryption methods to withstand differential attacks. The other criteria that have been taken into consideration include entropy and correlation coefficient, for the assessment of randomness, distribution, and the robustness of the encryption techniques against statistical and visual analysis attacks. The integration of chaotic maps with cryptographic strategies not only enhances the security of digital images but also ensures their efficient encryption and decryption processes. The diverse set of chaotic maps used in this study demonstrates flexibility in meeting different performance and security requirements. This comprehensive analysis highlights the potential of chaotic maps as robust tools for image encryption, paving the way for further advancements in secure digital communication and data protection.