A Specific Key Sharing Protocol Among Multiuser Using Noncommutative Group for Telecare Medicine Information System

Medical services continue to adjust to the ongoing pandemic, which continues to overwhelm medical care frameworks’ considerations and assets. Meanwhile, they continue to pay attention to the elevated significance of imbalances in medical care, supportability, and climate. As this pandemic has repeatedly demonstrated, no one is safe until everyone is safe. This unusual situation requires the use of telecare medication. The current situation tolerates information breaches with related confirmation issues, making it difficult to create secure TMIS. Our proposal addresses these issues by using the twin conjugacy search problem (TCSP) and braid decomposition problem (BDP). By analyzing the expected security investigation, we demonstrate that the proposed convention passes the BDP and TCSP security boundaries.