aspg-2-2749-1791417228 20261007235348 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Cybersecurity and Information Management JCIM 2769-7851 2690-6775 2024 13 2 Sanaa Ahmed Kadhim University of information technology and communications, Iraq Ruwaida Mohammed Yas Information Institute for Postgraduate Student, Iraqi Commission for Computers and Informatics, Iraq. Saad A. A. Abdual Rahman Almamoon university collage, Iraq In today's mass communication landscape, security is a paramount concern, notably with the rapid expansion of the Internet of Things (IoT). Various methods aim to bolster IoT communication security, particularly by regulating access between IoT devices and networks. Encrypting data with a shared secret key is crucial, considering the limited capabilities of these devices, demanding a lightweight yet robust control mechanism. While traditional methods like Diffie-Hellman facilitated secure communication, vulnerabilities arose from modular and exponential equations. Our paper proposed a mathematical refinement of the Diffie Hellman (D_H) protocol. By leveraging GF finite fields and multi-order recursive sequences, this enhanced method aims to fortify confidentiality and complexity in exchanged keys, enabling secure data transmission while remaining efficient for resource restricted IoT devices. Validation using the Affine encryption method demonstrates considerable improvements in complexity, security, and speed. Incorporating Galois field (GF) and third-order sequencing enhances secrecy and complexity, ensuring swift computational processes. 2024 84 95 2749 https://creativecommons.org/licenses/by/4.0/ 10.54216/JCIM.130207 https://www.americaspg.com/journal/2/article/2749 https://www.americaspg.com/storage/21714840106.pdf