Key Pre-distribution Scheme: Enhanced Security in Distributed Systems

This paper presents a novel key pre-distribution scheme designed to improve secure communication within distributed systems by using noncommutative ring theory and Linear Feedback Shift Registers (LFSRs). The use of noncommutative rings enables the creation of more complex and secure mathematical frameworks for cryptographic key generation, enhancing resilience against common security threats. LFSRs are selected for their efficiency and minimal overhead in key generation, making this approach particularly effective for resource-constrained environments, such as Internet of Things (IoT) and sensor networks. By combining noncommutative rings with LFSR-based generation techniques, the proposed scheme delivers a lightweight, scalable, and highly secure solution for key pre-distribution. Simulation results demonstrate notable improvements in both security and efficiency. In order to enhance scalability, it is advisable to explore optimizations within the Key Agreement and Link Setup phases, as well as the implementation of parallel processing strategies. Furthermore, conducting empirical testing in various IoT environments would yield valuable insights regarding the practicality of the approach and its capacity for further enhancements. This analysis highlights the algorithm's promise for secure and efficient key management in small to medium-scale IoT systems, while also identifying areas for refinement necessary to support larger networks.