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This paper proposes a collusion attack-resilient method of encryption for access control of JPEG 2000 codestreams with hierarchical scalabilities. The proposed method generates one encryption key from one single key by multi-dimensional scanning to serve encryption keeping the scalability of codestrems. To avoid collusion attacks in which multiple users generate an illegal key from their own keys to overcome the access control, sufficient conditions are considered in this method. Moreover, a skip encryption is introduced to decrease the computational complexity and key management-and-de-livery cost of encryption. Simulation results show the effectiveness of the proposed method.