A New Three-party Key Exchange Protocol Based on Diffie-Hellman

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...

Simple Three Party Key Exchange Protocol via Twin Diffie-Hellman Problem

In 2005, Abdalla and Pointcheval suggested a new variation of the computational DH assumption called chosen based computational Diffie Hellman (CCDH) and presented SPAKE-1 and SPAKE-2 simple password based authenticated key exchange protocols. Since then several three party password authenticated key agreement protocols have been proposed based on CCDH assumption but most of them broken. In thi...

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...

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 ...