A dual-protection approach to enhance optical image encryption using QZ decomposition and generalized Reed–Muller codes
摘要
In this paper, we have presented a novel image encryption scheme using Generalized Reed–Muller (GRM) codes with double random phase encoding (DRPE) encryption technique to enhance both security and confidentiality of the cryptosystem. The DRPE encryption technique, a widely adopted method for optical data security, employs two-phase masks to encode the information in the optical domain, providing resistance against certain types of attacks. However, it is susceptible to noise, phase distortions, and other transmission errors that may compromise the integrity of the encrypted data. To address these challenges, GRM codes are employed in the DRPE encryption scheme. We demonstrated how this combined approach enhances both the noise resilience and the overall security of the optical encryption system, making it more reliable for secure communication in noisy environments. The theoretical analysis and experimental results show a significant improvement in error tolerance and the preservation of the confidentiality and integrity of the encrypted information. The proposed cryptosystem is robust against basic cryptographic attacks (CPA, KPA, Noise). System performance is tested by evaluating the Mean-squared error (MSE), Peak signal-to-noise ratio (PSNR), Structural similarity index measure (SSIM) and correlation coefficients (CC). The proposed scheme is digitally implemented using MATLAB 2024a.