Paper 2019/1456 Original: eprint.iacr.org/2019/1456 ↗

ModFalcon: compact signatures based on module NTRU lattices

Chitchanok Chuengsatiansup
Thomas Prest
Damien Stehlé
Alexandre Wallet
Keita Xagawa
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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2024-11-01: last updated
2019-12-18: published
Short URL
https://ia.cr/2019/1456
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/1456,
      author = {Chitchanok Chuengsatiansup and Thomas Prest and Damien Stehlé and Alexandre Wallet and Keita Xagawa},
      title = {ModFalcon: compact signatures based on module NTRU lattices},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/1456},
      year = {2019},
      url = {https://eprint.iacr.org/2019/1456}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.