Group-based systems are computational architectures or protocols where access control, permissions, or operations are managed collectively for a defined set of participants. Instead of individual authorizations, these systems grant privileges or responsibilities to groups, streamlining administration and improving efficiency. In cryptographic contexts, this often involves group signatures or group key exchange mechanisms, allowing members to perform actions anonymously or share secrets securely within their collective. Such systems are fundamental for collaborative and privacy-preserving applications.
Context
Group-based systems are becoming increasingly relevant in decentralized autonomous organizations and private blockchain consortia, often appearing in news regarding secure collaboration and governance. Their application in zero-knowledge proofs allows groups to verify statements without revealing individual members’ contributions. Future developments aim to enhance the scalability and flexibility of these systems, particularly for managing complex access policies and secure data sharing among multiple entities in a trust-minimized manner.
This research uncovers inherent limitations in Shoup's Generic Group Model, necessitating a critical reevaluation of security proofs for group-based cryptosystems.
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