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Then there is the method of server aggregation of data. During recovery, the server requests the secret share of the bu of all online users and the secret share of the keys of all offline users from online users. As long as a user less than the threshold provides the server with both the secret share of a user's bu and the secret share of the key, the server is unable to obtain xu . After the server recovers bu for all online users and subtracts bu from yu , it can next compute the aggregated information z by the following formula. |