Vahid Azizi Nasrabadi - Department of Mathematics, Shahed University, Tehran, Iran
Hamid Haj Seyyed Javadi - Department of Computer Engineering, Shahed University, Tehran, Iran
Ahmad Moussavi - Department of Pure Mathematics, Tarbiat Modares, Tehran, Iran

In this paper, we propose using Frobenius rings to increase the security of data communication in medical health systems based on the Internet of Things. Frobenius rings are algebraic structures widely studied in mathematics and have found applications in cryptography and coding theory. We show how Frobenius rings can be used to create efficient encryption and decryption algorithms that can secure communications in IoT-based medical health systems. IoT refers to internet communication between objects and equipment that are in our environment. These devices or objects connected to the Internet can be controlled and managed remotely using software on smartphones, tablets, computers, gadgets, smart watches, televisions, and any other object. Here, an attempt is made to create a safe bridge between the patient with simple medical measuring devices. The doctor who does not have direct access to him and can only receive the medical values measured by the patient through the Internet and give his definitive opinion about them, for example, the devices for measuring the patient's medical quantities can be simple mobile phone apps, and the doctor can be an artificial intelligence for medical measurements or a real doctor. We also present a case study with an example of medical factors such as heart rate, blood pressure, weight, blood sugar, and respiratory rate, which demonstrates the effectiveness of our proposed approach. Our results show that the use of Frobenius rings can significantly improve data communication security in IoT-based medical health systems without compromising system performance. In conclusion, our proposed approach provides a suitable solution for securing data communication in IoT-based medical health systems. The use of Frobenius rings can increase the confidentiality, integrity and availability of sensitive health information, thereby ensuring that patient's privacy is protected while enabling efficient management of their health data.

Secure Data Communication, Medical Health Systems, IoT, Frobenius Rings