Paper 2023/1477 Original: eprint.iacr.org/2023/1477 ↗

G+G: A Fiat-Shamir Lattice Signature Based on Convolved Gaussians

Julien Devevey
Alain Passelègue
Damien Stehlé
Abstract

We describe an adaptation of Schnorr's signature to the lattice setting, which relies on Gaussian convolution rather than flooding or rejection sampling as previous approaches. It does not involve any abort, can be proved secure in the ROM and QROM using existing analyses of the Fiat-Shamir transform, and enjoys smaller signature sizes (both asymptotically and for concrete security levels).

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2023-11-13: last updated
2023-09-26: published
Short URL
https://ia.cr/2023/1477
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2023/1477,
      author = {Julien Devevey and Alain Passelègue and Damien Stehlé},
      title = {G+G: A Fiat-Shamir Lattice Signature Based on Convolved Gaussians},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1477},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1477}
}
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