## Diffie-hellman key exchange protocol and non-abelian nilpotent groups. Cryptology ePrint Archive, Report 2005/110 (2005)

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@TECHREPORT{Mahalanobis05diffie-hellmankey,

author = {Ayan Mahalanobis and Miller Group},

title = {Diffie-hellman key exchange protocol and non-abelian nilpotent groups. Cryptology ePrint Archive, Report 2005/110},

institution = {},

year = {2005}

}

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### Abstract

Abstract. In this paper we study a key exchange protocol similar to the Diffie-Hellman 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 studying. MSC: 94A62, 20D15. Keyword: Diffie-Hellman key exchange, public-key cryptography, p-group,