International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3110 2020 2020 Department of Information Technology, School of Information Technology and System, the University of Jordan, Aqaba, Jordan Dima Dima Applied Science Department, Aqaba University College, Balqa Applied University, Jordan Talat Alkhouli Department of General Studies, Technical College of Haql, Tabuk, Kingdom of Saudi Arabia Ahmed Soiman Rashed Alhawiti Tishreen University, Faculty Of computer engineering and automation, Latakia, Syria Ali Allouf Department of Mathematics, the University of Texas at Arlington, Arlington, TX 76019-0407, USA Hussein Edduweh Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan Abdallah Al Al-Husban The objective of this paper is to build the Split-Complex version of Diffie-Hellman key Exchange Algorithm, where we use the mathematical foundations of Split-Complex Number Theory and Integers, such as congruencies, raising a split-complex integer to a power of split-complex integer to build novel algorithms for key Exchange depending of famous Diffie-Hellman algorithm. Additionally, we present the proposed version of the Diffie-Hellman algorithm based on neutrosophic number theory. Also, we analyze the complexity of the novel algorithms with many examples that explain their applied validity. 2025 2025 01 10 10.54216/IJNS.250201 https://www.americaspg.com/articleinfo/21/show/3110