Exploiting Flexible and Secure Cryptographic Technique for Multidimensional Image Based on Graph Data Structure and Three-Input Majority Gate
Yuwen Sha, Jun Mou, Santo Banerjee, Yushu Zhang
Abstract
The emergence of the Industrial Internet of Things (IIoT) has greatly improved the efficiency of manufacturing, but it also faces significant security challenges during the operational phase. In this work, a chaos-based image cryptosystem is investigated for IIoT based on graph data structure (GDS) and three-input majority gate (TIMG) to meet the increasing demand for flexible and secure image processing. Some internal relationships between graph and image are first constructed through a flexible adjacency matrix and then the GDS is generalized for image operation to address security defects in classical diffusion structure in image cryptosystem, such as sequential diffusion path and fixed pattern diffusion operators. Technically, a nonsequential diffusion path is established by breadth-first-search traversing the vertices between interblock and intrablock. Then, a multifunctional calculator is designed for a typical diffusive nonlinear primitive based on the logical operator relation of TIMG. In addition, a class discrete maps with fractional-order is provided to enhance the flexibility of multitype key stream selection. Experimental results and analysis for the gray, color, and 3-D images fully demonstrate that a flexible and superior security cryptosystem can be implemented from GDS and TLMG techniques.