Event-Oriented Linkable Group Signature from Lattice

With the ever-increasing volume of transactions on e-commerce platforms, the protection of consumer privacy becomes a paramount concern. In this context, group signatures have proven to be an effective tool for the privacy-preserving of consumers. However, conventional group signature schemes are unable to effectively and flexibly control the number of user signatures. Moreover, with the advent of the post-quantum era, the existing cryptographic systems for electronic consumer systems, which rely on traditional number theory, will be undermined by quantum computation. This paper presents an event-oriented linkable group signature scheme from lattice that introduces a higher degree of flexibility in terms of signature control. Then, we prove its security in the random oracle model and based on the hardness of module short integer solution and module learning with errors. The security analysis shows that the scheme respectively achieves quantum security levels of 93-bit and 207-bit for two selected parameter sets. We have also evaluated the storage and time cost of the scheme, which indicates that our scheme is quite practical and could have a promising future in the consumer electronics sector.