Diffie-Hellman Key Exchange Protocol Based on Ring-LWE

Diffie-Hellman type key exchange protocols based on isogenies

‎In this paper‎, ‎we propose some Diffie-Hellman type key exchange protocols using isogenies of elliptic curves‎. ‎The first method which uses the endomorphism ring of an ordinary elliptic curve $ E $‎, ‎is a straightforward generalization of elliptic curve Diffie-Hellman key exchange‎. ‎The method uses commutativity of the endomorphism ring $ End(E) $‎. ‎Then using dual isogenies‎, ‎we propose...

Diffie-Hellman Key Exchange Protocol, Its Generalization and Nilpotent Groups

Author: Ayan Mahalanobis Title: Diffie-Hellman Key Exchange Protocol, its Generalization and Nilpotent Groups Dissertation Advisor: Dr. Spyros Magliveras Degree: Doctor of Philosophy Year: 2005 This dissertation has two chapters. In the first chapter we talk about the discrete logarithm problem, more specifically we concentrate on the Diffie-Hellman key exchange protocol. We survey the current ...

Diffie-Hellman key exchange protocol and non-abelian nilpotent groups

In this paper we study a key exchange protocol similar to DiffieHellman key exchange protocol using abelian subgroups of the automorphism group of a non-abelian nilpotent group. We also generalize group no.92 of HallSenior table [15], for arbitrary prime p and show that for those groups, the group of central automorphisms commute. We use these for the key exchange we are studying. MSC: 94A62, 2...

A Diffie-Hellman Key Exchange Protocol Without Random Oracles

A Secure Wireless Communication Protocol using Diffie - Hellman Key Exchange

In 1976, Diffie and Hellman in their path breaking paper [5] proposed a two party key agreement protocol based on finite field. Diffie – Hellman Key Exchange Protocol [DH protocol] has unique importance in two party wireless communication scenarios. After this protocol several protocols have been proposed bases on DH protocol but the Man in the middle attack raises a serious security concern on...