ModFalcon: Compact Signatures Based on Module-NTRU Lattices

Chitchanok Chuengsatiansup, Thomas Prest, Damien Stehlé, Alexandre Wallet, Keita Xagawa

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

Abstract

Lattices lead to promising practical post-quantum digital signatures, combining asymptotic efficiency with strong theoretical security guarantees. However, tuning their parameters into practical instantiations is a delicate task. On the one hand, NIST round∼2 candidates based on Lyubashevsky's design (such as dilithium and qtesla) allow several tradeoffs between security and efficiency, but at the expense of a large bandwidth consumption. On the other hand, the hash-and-sign falcon signature is much more compact and is still very efficient, but it allows only two security levels, with large compactness and security gaps between them. We introduce a new family of signature schemes based on the falcon design, which relies on module lattices. Our concrete instantiation enjoys the compactness and efficiency of falcon, and allows an intermediate security level. It leads to the most compact lattice-based signature achieving a quantum security above 128 bits.

Original languageEnglish
Title of host publicationProceedings of the 15th ACM Asia Conference on Computer and Communications Security, ASIA CCS 2020
PublisherAssociation for Computing Machinery, Inc
Pages853-866
Number of pages14
ISBN (Electronic)9781450367509
DOIs
Publication statusPublished - 5 Oct 2020
Externally publishedYes
Event15th ACM Asia Conference on Computer and Communications Security, ASIA CCS 2020 - Virtual, Online, Taiwan, Province of China
Duration: 5 Oct 20209 Oct 2020

Publication series

NameProceedings of the 15th ACM Asia Conference on Computer and Communications Security, ASIA CCS 2020

Conference

Conference15th ACM Asia Conference on Computer and Communications Security, ASIA CCS 2020
Country/TerritoryTaiwan, Province of China
CityVirtual, Online
Period5/10/209/10/20

Keywords

  • applied cryptography
  • digital signature
  • modules lattices
  • post-quantum cryptography
  • public-key encryption

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