Securing an Authenticated Privacy Preserving Protocol in a Group Signature Scheme Based on a Group Ring

Nur Afiqah Suzelan Amir, Wan Ainun Mior Othman () and Kok Bin Wong
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Nur Afiqah Suzelan Amir: Institute of Mathematical Sciences, Faculty of Science, University Malaya, Kuala Lumpur 50603, Malaysia
Wan Ainun Mior Othman: Institute of Mathematical Sciences, Faculty of Science, University Malaya, Kuala Lumpur 50603, Malaysia
Kok Bin Wong: Institute of Mathematical Sciences, Faculty of Science, University Malaya, Kuala Lumpur 50603, Malaysia

Mathematics, 2023, vol. 11, issue 18, 1-21

Abstract: Group signatures are a leading competing signature technique with a substantial amount of research. With group settings, group signatures provide user anonymity. Any group member with access to the group can generate a signature while remaining anonymous. The group manager, however, has the authority to expose and identify the signer if required. Since the privacy of the sender should be preserved, this is a conflict between privacy and accountability. Concerning high performance on security, we propose a novel, well-balanced security and privacy group signature scheme based on a general linear group over group ring. To the best of our knowledge, our work represents the first comprehensive framework for a group signature scheme that utilizes generic linear groups over group rings. We demonstrate that the competing security goals of message trustworthiness, privacy, and accountability are effectively resolved by our protocol. The results of the performance evaluation and simulation demonstrate that our protocol achieves strong security, system robustness, and high-performance efficiency, making it suitable for practical applications.

Keywords: group ring; general linear group; group signature; authentication; privacy; accountability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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