With the development of web multimedia technology, broadcast encryption schemes play an important role in multimedia services copyright protection. In this paper, we propose a new broadcast encryption scheme based on RSA, besides, we give out two algorithms-smallest power exponent algorithm and improved modular exponential algorithm, to simplify the repeated squaring in RSA. This scheme could reduce the encryption and decryption calculated amount greatly, improve the communication bandwidth and

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... deter the forcible attack effectively. In the course of KGC(Key Generation Center) distributing keys, we adopt the different module remainder strategy, thus realizing that when new members jion in, keys needn't be updated, and this could enhance the practicality and security of broadcast encryption scheme.