International Association
for Cryptologic Research

This paper studies how to construct a pseudorandom generator using hard lattice problems.

We use a variation of the classical hard problem \\emph{Inhomogeneous Small Integer Solution} ISIS of lattice, say \\emph{Inhomogeneous Subset Sum Solution} ISSS. ISSS itself is a hash function. Proving the preimage sizes ISSS hash function images are almost the same, we construct a pseudorandom generator using the method in \\cite{GKL93}. Also, we construct a pseudoentropy generator using the method in \\cite{HILL99}. Most theoretical PRG constructions are not feasible in fact as they require rather long random bits as seeds. Our PRG construction only requires seed length to be $O(n^{2}\\log_{2} n)$ which is feasible practically.