A FERMIONIC MATTER CHAOTIC MAP WITH ENHANCED RANDOMNESS FOR SECURE IMAGE ENCRYPTION

Abstract

In the digital era, information security particularly for digital images shared over the internet is of growing concern. Among the several data protection techniques, like data masking and network security, cryptography remains one of the most reliable and widely used methods. In this field chaos theory plays a vital role such as high sensitivity to initial conditions and randomness. To strengthen cryptographic keys enhancing randomness is essential to resist brute force and statistical attacks. Most existing encryption schemes employ two-dimensional chaotic maps but many still suffer from limited key spaces or weak chaotic behavior. To overcome these limitations a newly devised two-dimensional chaotic system named the Fermionic Matter Chaotic System (FMCS) is proposed in this research. This system offers an expanded range of control parameters a significantly larger key space and improved chaotic dynamics. The main objective of this study is to develop and evaluate the performance of the FMCS-based 2D chaotic map for secure image encryption. Its effectiveness will be measured using various metrics including bifurcation diagrams Lyapunov exponents entropy analysis key sensitivity histogram uniformity and correlation coefficients. Furthermore, the randomness of the generated sequences will be statistically validated using the NIST SP800-22 test suite. Finally, the FMCS will be integrated into an image encryption algorithm to assess its efficiency and robustness compared to traditional chaotic maps. The results aim to demonstrate that this newly proposed system can offer a faster more secure and highly reliable solution for protecting digital images in today’s data-driven world.