Cryptology ePrint Archive: Report 2013/226

Public key exchange using semidirect product of (semi)groups

Maggie Habeeb and Delaram Kahrobaei and Charalambos Koupparis and Vladimir Shpilrain

Abstract: In this paper, we describe a brand new key exchange protocol based on a semidirect product of (semi)groups (more specifically, on extension of a (semi)group by automorphisms), and then focus on practical instances of this general idea. Our protocol can be based on any group, in particular on any non-commutative group. One of its special cases is the standard Diffie-Hellman protocol, which is based on a cyclic group. However, when our protocol is used with a non-commutative (semi)group, it acquires several useful features that make it compare favorably to the Diffie-Hellman protocol. Here we also suggest a particular non-commutative semigroup (of matrices) as the platform and show that security of the relevant protocol is based on a quite different assumption compared to that of the standard Diffie-Hellman protocol.

Category / Keywords: public-key cryptography / public key exchange

Date: received 16 Apr 2013, last revised 1 May 2013

Contact author: shpilrain at yahoo com

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Version: 20130501:110205 (All versions of this report)

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