Hybrid Chaotic-Based PRNG for Secure Cryptography Applications

Abstract

This paper suggests a novel one-dimensional (1D) map to address the limitations of traditional chaotic 1D maps. In contrast to traditional 1D maps, the proposed map has three control parameters a, μ, and c, allowing it to exhibit chaotic behavior over a wide range of values. The dynamic behavior of the new 1D map was analyzed using well-known numerical methods, including the bifurcation diagram and Lyapunov exponent. Both tests showed their complex and diverse behavior. In addition, a novel image encryption scheme was devised using the new function as its pseudorandom number generator. Rigorous statistical testing was applied to the proposed encryption algorithm. The mean square error (MSE) and peak signal-to-noise ratio (PSNR) results, in addition to subjecting 28 images to number of pixels change rate (NPCR) and unified average changing intensity (UACI) tests demonstrated the robustness of the system. The results of this study demonstrate the effectiveness of the new 1D map for use in secure image cryptography applications, providing a more robust and secure alternative to traditional chaotic 1D maps.

Improved Vigenere approach incorporating pseudorandom affine functions for encrypting color images

“…It is a one-dimensional map, renowned for its chaotic behavior and ease of integration into any crypto-system. The general expression of this map, denoted by the numerical sequence h, is defined by (1). The parameters (ℎ 0 ) and (𝑘) represent the initial value and control parameter, respectively.…”

“…Ciphering images is the process of protecting them by altering their pixels in a way that makes them indecipherable. It protects image confidentiality and integrity, particularly when the images are sensitive and confidential, as is the military case [1] and medical images [2], [3]. Perturbations in ciphering steps complicate the statistical relationships between original and ciphered images and make predicting them difficult.…”

Improved vigenere using affine functions surrounded by two genetic crossovers for image encryption

“…Ensuring the security of information during network transmission has become a widely explored research area. In this context, encryption technology plays a crucial role, with symmetric and asymmetric encryption algorithms applied in cryptography [1]. Symmetric encryption, known for its efficiency, heightened security, and rapid encryption speed with a large key, relies on preserving the ciphering key for its security.…”

Enhanced Color Image Encryption Utilizing a Novel Vigenere Method with Pseudorandom Affine Functions

“…Ciphering images is the process of protecting them by altering their pixels in a way that makes them indecipherable. It protects image confidentiality and integrity, particularly when the images are sensitive and confidential, as in the military case [1] and medical images [2,3]. Perturbations in ciphering steps complicate the statistical relationships between original and ciphered images and make predicting them difficult.…”