Solving LWE problem with bounded errors in polynomial time

Jintai Ding

Paper 2010/558

Solving LWE problem with bounded errors in polynomial time

Jintai Ding

Abstract

In this paper, we present a new algorithm, such that, for the learning with errors (LWE) problems, if the errors are bounded -- the errors do not span the whole prime finite field $F_q$ but a fixed known subset of size $D$ ($D<q$), which we call the learning with bounded errors (LWBE) problems, we can solve it with complexity $O(n^D)$.

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Unknown where it was published
Keywords: LWE Lattice bounded errors multivariate polynomials linerization
Contact author(s): jintai ding @ gmail com
History: 2010-11-03: received
Short URL: https://ia.cr/2010/558
License: CC BY

BibTeX

@misc{cryptoeprint:2010/558,
      author = {Jintai Ding},
      title = {Solving {LWE} problem with bounded errors in polynomial time},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/558},
      year = {2010},
      url = {https://eprint.iacr.org/2010/558}
}