Sharing secret using lattice construction

In this paper, a variant of (t, n) threshold secret sharing scheme is realized using a lattice model. Due to the potential quantum attacks in the future, we need to construct a secure channels for transmitting secret shares. Such channels could be modeled by a lattice based public key cryptosystem whose security is based on the worst case hardness of lattice problems. Therefore, we propose a lattice based threshold secret sharing scheme that is compatible with the platform on which the cryptosystem is built. It is shown that the proposed scheme is correct and asymptotically perfect from information theoretic point of view.