A reduction from LWE problem to dihedral coset problem
Quantum Physics
2013-06-05 v2 Computational Complexity
Abstract
Learning with Errors (LWE) problems are the foundations for numerous applications in lattice-based cryptography and are provably as hard as approximate lattice problems in the worst case. Here we present a reduction from LWE problem to dihedral coset problem(DCP). We present a quantum algorithm to generate the input of the two point problem which hides the solution of LWE. We then give a new reduction from two point problem to dihedral coset problem on D_{{{({n^{13}})}^{n\log n}}}. Our reduction implicate that any algorithm solves DCP in subexponential time would lead a quantum algorithm for LWE.
Keywords
Cite
@article{arxiv.1305.3769,
title = {A reduction from LWE problem to dihedral coset problem},
author = {Fada Li and Wansu Bao and Xiangqun Fu and Yuchao Zhang and Tan Li},
journal= {arXiv preprint arXiv:1305.3769},
year = {2013}
}