Welcome to the resource topic for 2005/223
Title:
Diffie-Hellman Key Exchange Protocol, Its Generalization and Nilpotent Groups
Authors: Ayan Mahalanobis
Abstract: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 state of
security for the Diffie-Hellman key exchange protocol. We also motivate the
reader to think about the Diffie-Hellman key exchange in terms of group
automorphisms.
In the second chapter we study two key exchange protocols similar to the
Diffie-Hellman key exchange protocol using an abelian subgroup of the
automorphism group of a nonabelian group. We also
generalize group no.~92 of the Hall-Senior
table, for arbitrary prime p and study the automorphism group of these
generalized group. We show that for
those groups, the group of central automorphisms is an abelian group. We use
these
central automorphisms for the key exchange we are studying. We also develop a
signature scheme.
ePrint: https://eprint.iacr.org/2005/223
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