A lattice-based multi-receiver signcryption scheme for point to multi-point communication

In order to guarantee information confidentiality and authentication in point to multi-point communication mode, we propose the first secure multi-receiver signcryption scheme based on lattice. We prove that our scheme achieves the indistinguishability against adaptive chosen ciphertext attacks under the learning with errors assumption and existential unforgeability against adaptive chosen message attacks under the inhomogeneous small integer solution assumption. Our scheme resists the existing quantum algorithm analysis, since we construct it in lattice-based cryptography.