Paper 2010/024 Original: eprint.iacr.org/2010/024 ↗

Authentication schemes from actions on graphs, groups, or rings

Dima Grigoriev
Vladimir Shpilrain
Abstract

We propose a couple of general ways of constructing authentication schemes from actions of a semigroup on a set, without exploiting any specific algebraic properties of the set acted upon. Then we give several concrete realizations of this general idea, and in particular, we describe several authentication schemes with long-term private keys where forgery (a.k.a. impersonation) is NP-hard. Computationally hard problems that can be employed in these realizations include Graph Colorability, Diophantine Problem, and many others.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2010-01-16: last updated
2010-01-16: published
Short URL
https://ia.cr/2010/024
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/024,
      author = {Dima Grigoriev and Vladimir Shpilrain},
      title = {Authentication schemes from actions on graphs, groups, or rings},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/024},
      year = {2010},
      url = {https://eprint.iacr.org/2010/024}
}
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