Paper 2018/1109 Original: eprint.iacr.org/2018/1109 ↗

Faster SeaSign signatures through improved rejection sampling

Thomas Decru
Lorenz Panny
Frederik Vercauteren
Abstract

We speed up the isogeny-based ``SeaSign'' signature scheme recently proposed by De Feo and Galbraith. The core idea in SeaSign is to apply the ``Fiat–Shamir with aborts'' transform to the parallel repeated execution of an identification scheme based on CSIDH. We optimize this general transform by allowing the prover to not answer a limited number of said parallel executions, thereby lowering the overall probability of rejection. The performance improvement ranges between factors of approximately 4.4 and 65.7 for various instantiations of the scheme, at the expense of roughly doubling the signature sizes.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2019-01-25: last updated
2018-11-16: published
Short URL
https://ia.cr/2018/1109
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/1109,
      author = {Thomas Decru and Lorenz Panny and Frederik Vercauteren},
      title = {Faster SeaSign signatures through improved rejection sampling},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/1109},
      year = {2018},
      url = {https://eprint.iacr.org/2018/1109}
}
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