A resilient image encryption scheme using Laplace transform

Abstract

The importance of image encryption in cryptography has surged due to advancement in image processing technology. Our research presents a novel image encryption technique using advanced image processing and permutation-based S-box generation. Utilizing a sine series expansion, we achieve a pseudorandom distribution of values applicable across various fields. Our systematic method for computing the Laplace transform of symbolic metrices ensures enhanced security. This study integrates core cryptographic principles: permutation, substitution, randomness, symbolic operations, and cyclic encryption. The proposed cryptosystem’s modular nature allows adaptability and customization for specific cryptographic needs, enhancing overall security. Our efforts to improve key generation, introduce randomness, and increase operational complexity drive advancements in secure cryptographic systems. Comprehensive analysis, including key sensitivity, key space, Information Entropy(IE), histogram correlation, Number of Pixel Change Rate (NPCR), Peak Signal Noise Ratio(PSNR), Unified Average Changing Intensity (UACI), and similarity assessments like Mean Square Error (MSE) and Structural Similarity Index Measure (SSIM),Validate the efficiency of our encryption scheme. Our results surpass previous efforts, setting a new standard in cryptographic research excellence.

Keywords

• Information Entropy (IE)
• Chaotic Map
• Mean Square Error (MSE)
• Structural Similarity Index Measure (SSIM)
• Laplace Transform