Impact of Confusion-Diffusion Complexity on Maintaining Data Security

This paper highlights the importance of selecting an appropriate chaos-based architecture for confusion and diffusion. The dimensions of the chaos-based confusion-diffusion architecture vary depending on the specific chaotic map being used. Hence, we design three confusion-diffusion algorithms of various levels (1D logistic map (LM)-based cryptosystem, 1D LM- Chebyshev-based cryptosystem, and 3D intertwining logistic map-cosine (ILM) based cryptosystem), to discuss and demonstrate the impact of choosing the appropriate dimension of the chaotic map on the vulnerability of a cryptosystem. We prove that higher- dimensional chaotic maps, such as 3D-ILM, can enhance the ability to resist exhaustive and statistical attacks by achieving desirable values of the number of pixels change rate (NPCR) and unified average changing intensity (UACI), while these maps are unable to maintain encryption speed.