Implementation and Evaluation of Improved Gaussian Sampling for Lattice Trapdoors

Abstract

We report on our implementation of a new Gaussian sampling algorithm for lattice trapdoors. Lattice trapdoors are used in a wide array of lattice-based cryptographic schemes including digital signatures, attributed-based encryption, program obfuscation and others. Our implementation provides Gaussian sampling for trapdoor lattices with prime moduli, and supports both single-and multi-threaded execution. We experimentally evaluate our implementation through its use in the GPV hash-and-sign digital signature scheme as a benchmark. We compare our design and implementation with prior work reported in the literature. The evaluation shows that our implementation 1) has smaller space requirements and faster runtime, 2) does not require multi-precision floating-point arithmetic, and 3) can be used for a broader range of cryptographic primitives than previous implementations.

Secure Remote Cloud File Sharing With Attribute-Based Access Control and Performance Optimization

“…Chen et al [16] proposed two CP-ABE schemes under the Ring LWE assumption, which only supported a single threshold structure. Also, in our improvement, we refer to the lattice trapdoor sampling optimization proposed recently in [17], [18], [19], [20].…”