A lattice-based broadcast encryption scheme is proposed for ad hoc networks in this paper. The proposed scheme is dynamical and anonymous simultaneously. The achievements of the dynamic and anonymity properties are efficient. In fact, the broadcaster can send the message to any receivers set without any added operations. The anonymity properties of the proposed scheme can protect the identity of an authorized receiver. Both dynamic and anonymity properties are important for broadcast encryption to used in many cases like wireless ad hoc network. The semantic security of the proposed scheme is proven in the standard model under the hardness of the learning with errors problem (LWE). Compared with known lattice-based broadcast encryption schemes, the proposed scheme shares some advantages with respect to the ciphtertext length and the message-ciphtertext expanse factor.
