Public key exchange using semidirect product of (semi)groups
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.
Keywords
Cite
@article{arxiv.1304.6572,
title = {Public key exchange using semidirect product of (semi)groups},
author = {Maggie Habeeb and Delaram Kahrobaei and Charalambos Koupparis and Vladimir Shpilrain},
journal= {arXiv preprint arXiv:1304.6572},
year = {2013}
}
Comments
12 pages