Lattice-based group signature scheme and its application in IoMT

Internet of medical things (IoMT) is the application of the Internet of things in the medical industry, which enables the storage and processing of patients' medical data. Due to the sensitivity and confidentiality of medical data, security requirements for medical IoT must simultaneously protect data privacy and patient confidentiality. Group signature schemes can satisfy these requirements simultaneously. Serving as a fundamental cryptographic tool, they allow for the anonymous signing of messages. In this paper, based on the Chinese remainder theorem (CRT) and combined with techniques such as trap sampling, orthogonal sampling, and Gaussian sample preimage, a lattice-based group signature scheme is constructed. Compared with existing group signature schemes, this scheme does not require modification of already generated keys when adding or removing members, thus enabling rapid addition or removal of group members. Security analysis demonstrates that this scheme meets anonymity, unforgeability, and resistance against collusion attacks. Finally, the scheme is applied to the model construction of medical IoT to ensure the security and integrity of private data.