Abstract
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
CONCLUSIONS
In this paper, we have presented the first multi-receiver
signcryption scheme from lattice assumption, which is
suitable for point to multi-point communication. We
prove that our scheme achieves the indistinguishability
against adaptive chosen ciphertext attacks (IND-CCA2)
under the learning with errors (LWE) hardness
assumption and existential unforgeability against
adaptive chosen message attacks (EUF-CMA) under
the inhomogeneous small integer solution (ISIS)
hardness assumption.
