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Chinese Remainder Theorem Based Single and Multi-group Key Management Protocols

Researchers have proposed different designs for group key management (GKM). In general GKM protocols need to consider the trade-off between key server side and user side costs, which includes space, computation, and messaging requirements. The currently available representative set of GKM protocols require the key server to do O(log n) of key computation and transmission, and each user to have O(log n) of key space and do O(log n) of key processing, for a group with n users.

We will begin with the Base Chinese Remaindering Group Key Management
Protocol. The BCRGK protocol is not a practically efficient protocol by itself (we
will analyze the reason later.). It mainly serves the purpose of providing the
concept ...