Noncommutative analogue of Diffie-Hellman protocol in matrix ring over the residue ring

Abstract. Classical Diffie-Hellman protocol of the key establishment was the basis of the development of several key exchange protocols. But this protocol is not secure and it is not protected against the “man in the middle” attack. The purpose of this article is to offer a secure and practical noncommutative analogue of the Diffie?Hellman protocol that is reliably protected not only against “man in the middle” attack but also against the quantum computer attack