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On the Robustness of learning parity with noise

  • Shanghai Jiao Tong University
  • Westone Cryptologic Research Center
  • XUPT

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The Learning Parity with Noise (LPN) problem is well understood in learning theory and cryptography and has been found quite useful in constructing various lightweight cryptographic primitives. There exists non-trivial evidence that the problem is robust on highentropy secrets (and even given hard-to-invert leakages), and the justified results by Dodis, Kalai and Lovett (STOC 2009) were established under non-standard hard learning assumptions. The recent progress by Suttichaya and Bhattarakosol (Information Processing Letters, Volume 113, Issues 14–16) claimed that LPN remains provably secure (reducible from the LPN assumption itself) as long as the secret is sampled from any linear min-entropy source, and thereby resolves the long-standing open problem. In the paper, we point out that their proof is flawed and their understanding about LPN is erroneous. We further offer a remedy with some slight adaption to the setting of Suttichaya and Bhattarakosol.

Original languageEnglish
Title of host publicationInformation and Communications Security - 18th International Conference, ICICS 2016, Proceedings
EditorsKwok-Yan Lam, Sihan Qing, Chi-Hung Chi
PublisherSpringer Verlag
Pages99-106
Number of pages8
ISBN (Print)9783319500102
DOIs
StatePublished - 2016
Event18th International Conference on Information and Communications Security, ICICS 2016 - Singapore, Singapore
Duration: 29 Nov 20162 Dec 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9977 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on Information and Communications Security, ICICS 2016
Country/TerritorySingapore
CitySingapore
Period29/11/162/12/16

Keywords

  • High-entropy secrets
  • Learning parity with noise
  • Leftover hash lemma
  • Provable security

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