Simpler CCA secure PKE from LPN problem without double-trapdoor

Haitao Cheng, Xiangxue Li*, Haifeng Qian, Di Yan

*Corresponding author for this work

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

2 Scopus citations

Abstract

The first CCA secure public key encryption (PKE) on the learning parity with noise (LPN) assumption was invented by Döttling et al. (ASIACRYPT 2012). At PKC 2014, Kiltz et al. gave a simpler and more efficient construction, where a double-trapdoor technique was introduced to handle the decryption queries in game simulation. Different from the technique, we build in the standard model the CCA secure PKE on a variant of Extended Knapsack LPN problem (which is provably equivalent to the standard LPN problem). We abstract out an ephemeral key from the LPN assumption, which can then be used to encrypt the underlying plaintext when equipped with several typical classes of cryptographic primitives. Thanks to these techniques, the decryption queries can be correctly answered (yet without relying on a double-trapdoor mechanism) during security reduction from LPN. The resulting simple proposal appears more modular and efficient.

Original languageEnglish
Title of host publicationInformation and Communications Security - 20th International Conference, ICICS 2018, Proceedings
EditorsGregory Blanc, Sihan Qing, Rongxing Lu, Zonghua Zhang, Ahmed Meddahi, David Naccache, Shouhuai Xu, Pierangela Samarati
PublisherSpringer Verlag
Pages756-766
Number of pages11
ISBN (Print)9783030019495
DOIs
StatePublished - 2018
Event20th International Conference on Information and Communications Security, ICICS 2018 - Lille, France
Duration: 29 Oct 201831 Oct 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11149 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference20th International Conference on Information and Communications Security, ICICS 2018
Country/TerritoryFrance
CityLille
Period29/10/1831/10/18

Keywords

  • Extended knapsack LPN
  • Low-noise LPN
  • Post quantum cryptography

Fingerprint

Dive into the research topics of 'Simpler CCA secure PKE from LPN problem without double-trapdoor'. Together they form a unique fingerprint.

Cite this