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arXiv · 1302.1625

Public Key Exchange Using Matrices Over Group Rings

Delaram Kahrobaei·Charalambos Koupparis·Vladimir Shpilrain
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Abstract

We offer a public key exchange protocol in the spirit of Diffie-Hellman, but we use (small) matrices over a group ring of a (small) symmetric group as the platform. This "nested structure" of the platform makes computation very efficient for legitimate parties. We discuss security of this scheme by addressing the Decision Diffie-Hellman (DDH) and Computational Diffie-Hellman (CDH) problems for our platform.

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Delaram Kahrobaei, Charalambos Koupparis, Vladimir Shpilrain. 2013-02-07. Public Key Exchange Using Matrices Over Group Rings. https://arxiv.org/abs/1302.1625

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