LETFM: A Robust and Key-Space Enhanced Map for Secure IoT Image Encryption

Manish Kumar Thukral · 2024

Owing to its property of ergodicity, unpredictability, sensitive to initial condition with bounded output, chaos is being widely used in designing secure communication systems. In this direction one dimensional chaotic map (CM) are center of attraction recently as they are easy to implement in hardware. Researchers have been reporting that a cryptographically secure data encryption algorithms can be designed using the CMs. This has resulted in tremendous amount of development in designing specially image encryption algorithms using CMs. But most of the traditional one-dimensional CMs lack robustness and large key space. Both factors are very crucial for designing cryptographically secure image encryption algorithms. Considering this gap an attempt has been made in the presented research work to design a one-dimensional CM which is robust besides this has significant key space. The proposed CM contains traditional logistic map (LM) and recently proposed trigonometric function-based CM as seed map. The resulting map is given term logistic exponent trigonometric function map (LETFM). This map has been analyzed in various performance parameters like Lyapunov exponent (LE), bifurcation diagram, sensitivity to initial condition. The simulation results indicate that the suggested map exhibits superior robustness and a substantial key space in comparison to seed maps.

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