Lattice-based linearly homomorphic signatures in the standard model.

At present, there are some linearly homomorphic signatures in the standard model, whose security is based on the RSA assumption and Diffie-Hellman assumption. But there are still no lattice-based linearly homomorphic signature in the standard model. How to construct it? It is proposed as a open problem by Freeman 12. In this paper, we propose the first lattice-based linearly homomorphic signature in the standard model, which settle this open problem.