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Paper 2015/018

A LINEAR ATTACK ON A KEY EXCHANGE PROTOCOL USING EXTENSIONS OF MATRIX SEMIGROUPS

JINTAI DING, ALEXEI MIASNIKOV, AND ALEXANDER USHAKOV

Abstract

In this paper we analyze the Kahrobaei-Lam-Shpilrain (KLS) key exchange protocols that use extensions by endomorpisms of matrices over a Galois field proposed in \cite{Kahrobaei-Lam-Shpilrain:2014}. We show that both protocols are vulnerable to a simple linear algebra attack.

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Preprint. MINOR revision.
Keywords
Group-based cryptographysemidirect productGalois fieldKey Exchange
Contact author(s)
jintai ding @ gmail com
History
2015-01-14: revised
2015-01-12: received
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Short URL
https://ia.cr/2015/018
License
Creative Commons Attribution
CC BY
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