Public key exchange using semidirect product of (semi)groups

Maggie Habeeb; Delaram Kahrobaei; Charalambos Koupparis; Vladimir Shpilrain

Paper 2013/226 Original: eprint.iacr.org/2013/226 ↗

Public key exchange using semidirect product of (semi)groups

Maggie Habeeb

Delaram Kahrobaei

Charalambos Koupparis

Vladimir Shpilrain

Abstract

In this paper, we describe a brand new key exchange protocol based on a semidirect product of (semi)groups (more specifically, on extension of a (semi)group by automorphisms), and then focus on practical instances of this general idea. Our protocol can be based on any group, in particular on any non-commutative group. One of its special cases is the standard Diffie-Hellman protocol, which is based on a cyclic group. However, when our protocol is used with a non-commutative (semi)group, it acquires several useful features that make it compare favorably to the Diffie-Hellman protocol. Here we also suggest a particular non-commutative semigroup (of matrices) as the platform and show that security of the relevant protocol is based on a quite different assumption compared to that of the standard Diffie-Hellman protocol.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2013-05-01: last updated; 2013-04-29: published
Short URL: https://ia.cr/2013/226
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2013/226,
      author = {Maggie Habeeb and Delaram Kahrobaei and Charalambos Koupparis and Vladimir Shpilrain},
      title = {Public key exchange using semidirect product of (semi)groups},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/226},
      year = {2013},
      url = {https://eprint.iacr.org/2013/226}
}