Public Key Exchange Using Matrices Over Group Rings

Delaram Kahrobaei; Charalambos Koupparis; Vladimir Shpilrain

Paper 2013/114 Original: eprint.iacr.org/2013/114 ↗

Public Key Exchange Using Matrices Over Group Rings

Delaram Kahrobaei

Charalambos Koupparis

Vladimir Shpilrain

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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2013-02-27: last updated; 2013-02-27: published
Short URL: https://ia.cr/2013/114
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2013/114,
      author = {Delaram Kahrobaei and Charalambos Koupparis and Vladimir Shpilrain},
      title = {Public Key Exchange Using Matrices Over Group Rings},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/114},
      year = {2013},
      url = {https://eprint.iacr.org/2013/114}
}