New Image Encryption Algorithm Using 3D Logistics Map and Random Number Generator

Abstract

This work presents a new algorithm for image encryption that utilizes a random number generator and the logistic map, generating keys with a large space and making them difficult to predict. This approach increases resistance to brute-force attacks, making the encryption more robust for secure applications and achieving low time complexity. The original image is confused in this algorithm, utilizing randomly generated numbers. Then, the permutated image is diffused using the sequence of the logistic map. The proposed image encryption algorithm was tested using noise and data cut attacks, histograms, and key space. Moreover, the proposed algorithm’s performance is compared with several existing algorithms using entropy, correlation coefficients, and robustness against attacks. Security analysis indicates that the proposed algorithm is secure and resilient to attacks. It encrypts images using a large key space but is susceptible to slight changes in the security key. The histogram test is uniform, and the entropy is close to 8. Moreover, it consumes a very short time for encryption and decryption.