Paper 2016/171 Original: eprint.iacr.org/2016/171 ↗

Commutativity, Associativity, and Public Key Cryptography

Jacques Patarin
Valérie Nachef
Abstract

In this paper, we will study some possible generalizations of the famous Diffie-Hellman algorithm. As we will see, at the end, most of these generalizations will not be secure or will be equivalent to some classical schemes. However, these results are not always obvious and moreover our analysis will present some interesting connections between the concepts of commutativity, associativity, and public key cryptography.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2017-10-18: last updated
2016-02-22: published
Short URL
https://ia.cr/2016/171
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2016/171,
      author = {Jacques Patarin and Valérie Nachef},
      title = {Commutativity, Associativity, and Public Key Cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/171},
      year = {2016},
      url = {https://eprint.iacr.org/2016/171}
}
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