Abstract
Broadcast encryption is a cryptographic primitive that allows a sender to securely broadcast a message to a set of receivers. The most influential broadcast encryption system was proposed in 2001 by Naor, Naor, Lotspiech, based on a pseudo-random generator and the Subset Difference (SD) method. In this paper, we suggest a new broadcast encryption system that is based on secret sharing and SD methods. On an efficiency aspect, our system achieves transmission cost, log storage cost, and computational cost for the number of users and the number of revoked users. Compared to log computational cost in the previous SD method, our system has the advantage that it needs only constant-sized computational cost for decryption, regardless of the number or . On a security aspect, our system can achieve tighter security reduction than the previous SD method and the gap of security loss is about log. Moreover, our result shows that it is possible to give the effect of the SD method while using an information-theoretically secure key distribution technique as in the Complete Subtree method.
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