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Groups Complexity Cryptology

Managing Editor: Shpilrain, Vladimir / Weil, Pascal

Editorial Board Member: Blackburn, Simon R. / Conder, Marston / Dehornoy, Patrick / Eick, Bettina / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Schäge, Sven / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura

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Online
ISSN
1869-6104
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A Diffie–Hellman key exchange protocol using matrices over noncommutative rings

Mohammad Eftekhari
  • LAMFA, CNRS UMR 7352, Université de Picardie-Jules Verne, 33 rue Saint-Leu, 80039 Amiens, France
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Published Online: 2012-05-01 | DOI: https://doi.org/10.1515/gcc-2012-0001

Abstract.

We consider a key exchange procedure whose security is based on the difficulty of computing discrete logarithms in a group, and where exponentiation is hidden by a conjugation. We give a platform-dependent cryptanalysis of this protocol. Finally, to take full advantage of this procedure, we propose a group of matrices over a noncommutative ring as platform group.

Keywords: Key exchange; quasideterminant; noncommutative determinant

About the article

Received: 2011-11-30

Published Online: 2012-05-01

Published in Print: 2012-05-01


Citation Information: Groups - Complexity - Cryptology, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc-2012-0001. Export Citation

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