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Providing secure and efficient access to large scale data is an important component of cloud computing. In this paper, a PKI-based access control mechanism is proposed. The mechanism is based on encryption-based access control and over-encryption, it not only ensures secure access to the outsourced data,but also relieve the data owner from user's every access procedure, thus avoid the owner will become the bottleneck during the access and archieve high efficiency. Moreover,the mechanism is easy and flexible when users are granted or revoked. Preliminary analysis demonstrates the effectiveness and security of the mechanism.