Abstract
With cloud computing and storage services, data is not only stored in the cloud, but routinely shared among a large number of users in a group. In this paper, we propose an oriented group provable data possession in public cloud and shared among a large number. We utilize group key agreement key as the foundation of the homomorphic authenticator, which enable any member of the group can verify data integrity. In our design, we propose employing symmetric balanced incomplete block design to construct the shared group key, which consume small amount of calculation and Communications. Thus it is effective and very suitable for mobile clouds.
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