Paper 2018/824 Original: eprint.iacr.org/2018/824 ↗

SeaSign: Compact isogeny signatures from class group actions

Luca De Feo
Steven D. Galbraith
Abstract

We give a new signature scheme for isogenies that combines the class group actions of CSIDH with the notion of Fiat-Shamir with aborts. Our techniques allow to have signatures of size less than one kilobyte at the 128-bit security level, even with tight security reduction (to a non-standard problem) in the quantum random oracle model. Hence our signatures are potentially shorter than lattice signatures, but signing and verification are currently very expensive.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2019-05-20: last updated
2018-09-06: published
Short URL
https://ia.cr/2018/824
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/824,
      author = {Luca De Feo and Steven D.  Galbraith},
      title = {SeaSign: Compact isogeny signatures from class group actions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/824},
      year = {2018},
      url = {https://eprint.iacr.org/2018/824}
}
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