This document presents a research paper that proposes a signature-based data security and authentication framework for Internet of Things (IoT) applications. The paper introduces a novel computational model that establishes a unique authentication process using a simplified encryption strategy. The model considers both local and global IoT environments and implements an authentication mechanism using challenge-response exchanges between communicating nodes. A digital signature is generated using parameters like random seeds, secret keys, prime values, and data packets. Simulation results show that the proposed system offers efficient security and data transmission performance in the presence of unknown adversaries, performing better than commonly used security solutions in vulnerable IoT environments.