Embedded system based cryptology and steganography application with fractional-order chaotic systems

In this thesis, the Arneodo and Sprott B chaotic systems have been designed as incommensurate fractional-order systems. The equilibrium points of the systems were identified, time series and phase portraits were obtained, and Lyapunov exponents were calculated. Lyapunov exponent spectra and bifurcation diagrams were plotted according to parameter variations. The incommensurate fractional-order systems were modeled on the Nvidia Jetson AGX Orin, and simulations were performed, followed by circuit implementations through a custom-designed electronic board. These chaotic equations were discretized using the Grünwald–Letnikov method, and an original Pseudorandom Number Generator (PRNG) design, based on the embedded system and using the proposed PRNG algorithm within this thesis, was realized. The designed PRNGs successfully passed internationally recognized statistical tests, including NIST 800-22, FIPS 140-1, and ENT, serving as the foundation for encryption and steganography algorithms. An original image encryption algorithm based on an embedded system was developed using the incommensurate fractional-order chaotic PRNG. The performance of both chaotic system-based encryption algorithms was evaluated by conducting security analyses of the encrypted images, demonstrating the successful application of both the Incommensurate Fractional-Order Arneodo (IKA) and Incommensurate Fractional-Order Sprott B (IKSB) chaotic systems in embedded system-based encryption. Additionally, an embedded system-based image steganography algorithm was developed using the designed PRNG. The developed steganography application features a two-level security mechanism. The performance of both chaotic system-based steganography algorithms was evaluated by conducting security analyses of the stego images, demonstrating the successful application of both IKA and IKSB chaotic systems in embedded system-based steganography.