English

Public Key Exchange Using Matrices Over Group Rings

Cryptography and Security 2013-02-08 v1 Group Theory

Abstract

We offer a public key exchange protocol in the spirit of Diffie-Hellman, but we use (small) matrices over a group ring of a (small) symmetric group as the platform. This "nested structure" of the platform makes computation very efficient for legitimate parties. We discuss security of this scheme by addressing the Decision Diffie-Hellman (DDH) and Computational Diffie-Hellman (CDH) problems for our platform.

Keywords

Cite

@article{arxiv.1302.1625,
  title  = {Public Key Exchange Using Matrices Over Group Rings},
  author = {Delaram Kahrobaei and Charalambos Koupparis and Vladimir Shpilrain},
  journal= {arXiv preprint arXiv:1302.1625},
  year   = {2013}
}

Comments

21 pages

R2 v1 2026-06-21T23:22:19.366Z