Elliptical Curve Cryptography for Images Using Mandelbrot Fractal and Zaslavskii Map Based Multiple Key with DNA Encoding
G. M. Karthik, Preethika Suresh, Varun Ganesh, H. Ajay Kumar, S Subathra, V Thanikaiselvan, Rengarajan Amirtharajan · 2025
It is challenging to maintain image data in position because of its inherent properties, i.e., high redundancy and high pixel correlation, which adversely affect the performance of traditional encryption algorithms. This work presents a hybrid encryption model that combines Elliptic Curve Cryptography (ECC) with a multi-key Hill Cipher and DNA encryption, which is enhanced using Mandelbrot fractals and Zaslavskii chaotic maps. These non-linear mappings produce complex block- specific keys, which provide high randomness and increase resistance to cryptanalytic attacks. ECC provides secure key exchange, while the Hill Cipher performs pixel-level transformation using dynamically computed matrices. Additional security is provided by using DNA-based encryption after the initial transformation. Pixel values are converted to DNA sequences and processed logically by performing DNA operations, which mimic biological operations such as mutation and crossover for diffusion enhancement. Decryption later reverses the same to obtain the original image appropriately. Integrating mathematical, chaotic, and biological methods provides a highly secure and effective scheme for image encryption.