Paper 2020/1141 Original: eprint.iacr.org/2020/1141 ↗

A post-quantum signature scheme from the secant variety of the Grassmannian

Daniele Di Tullio
Manoj Gyawali
Abstract

In this paper we present a signature scheme based on the difficulty of finding a point in a shifted Grassmannian variety or on its secant variety from a knowledge of its defining polynomials. An advantage of using the secant variety of the Grassmannian is that it is defined by sparse cubic equations, which are in general more difficult to solve than quadratic ones, thereby reducing the size of the public key.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2020-09-21: last updated
2020-09-21: published
Short URL
https://ia.cr/2020/1141
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2020/1141,
      author = {Daniele Di Tullio and Manoj Gyawali},
      title = {A post-quantum signature scheme from the secant variety of the Grassmannian},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/1141},
      year = {2020},
      url = {https://eprint.iacr.org/2020/1141}
}
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