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

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...

The Diffie-Hellman Key Exchange Protocol and non-abelian nilpotent groups

In this paper we study a key exchange protocol similar to the DiffieHellman key exchange protocol, using abelian subgroups of the automorphism group of a non-abelian nilpotent group. We also generalize group no. 92 of the Hall-Senior table [16] to an arbitrary prime p and show that, for those groups, the group of central automorphisms is commutative. We use these for the key exchange we are stu...

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 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...

A Diffie-Hellman Key Exchange Protocol Without Random Oracles