Encrypting Images Through the Integration of 3D Chaotic Maps and Motion Equations Enhanced by Linear Independence
摘要
In today's digital landscape, securing data transmission between endpoints is critical, necessitating robust image encryption methods. This paper introduces an innovative image encryption algorithm that leverages a 3D chaotic map, replacement, and shuffling processes to enhance securit. The algorithm employs three levels of replacement based on row, column, and diagonal XOR operations, followed by shuffling using motion equations and chaotic values. An evaluation of common images shows the algorithm’s effectiveness in terms of multiple performance criteria. The approach provides good sensitivity to changes in the decryption key, a significant rise in key space, and strong encryption capabilities verified by histogram analysis. The algorithm's ability to increase randomness in encrypted images is validated by entropy analysis. Correlation analysis demonstrates its efficiency in upsetting pixel connections and enhancing security against correlation-based attacks. Finally, the collected statistical and non-statistical models proved that the proposed algorithm could resist different types of attacks in image encryption field.