[Resource Topic] 2013/164: Provably Secure LWE Encryption with Smallish Uniform Noise and Secret

Welcome to the resource topic for 2013/164

Title:
Provably Secure LWE Encryption with Smallish Uniform Noise and Secret

Authors: Daniel Cabarcas, Florian Göpfert, Patrick Weiden

Abstract:

In this paper we present the (to the best of our knowledge) first LWE-based encryption scheme that removes the need of Gaussian sampling for the error, i.e. the discrete Gaussian distribution is replaced by the uniform distribution on a (small) set, which at the same time preserves the underlying worst-case hardness. This shows that provable security and efficiency do not necessarily have to mutually exclude each other. We give an asymptotic parameter instantiation for our scheme, as well as some hardness results for LWE which might be of independent interest.

ePrint: https://eprint.iacr.org/2013/164

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