In secret sharing schemes, the secret holder has to distribute secret shares to each participant before distributing the secrets. To distribute or redistribute shares is a very costly process with respect to both time and resources. Unlike previous works, where different approaches are proposed for different scenarios, we propose a unified approach for both threshold-based schemes and generalized group-oriented cryptosystems. This unified implementation has the following merits: (1) With a unified approach, the implementation requires much less overhead than its counterparts when various secret sharing problems are simultaneously involved; (2) The Secret Holder (SD) does not need to redistribute new secret shares after the secret reconstruction; (3) The SD can, dynamically and efficiently, determine the capacities (weight) of each user on recovering the secrets, and the threshold values of the secrets; (4) To dynamically adjust the capacities of users, the SD does not need to refresh the shadow of each user and each user just memorizes one secret shadow.
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