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Publication Date:
May 2012
ISSN:
1869-6104
DOI:
10.1515/gcc-2012-0001

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Managing Editor: Rosenberger, Gerhard / Shpilrain, Vladimir

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

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Mathematical Citation Quotient 2011: 0.16

A Diffie–Hellman key exchange protocol using matrices over noncommutative rings

1LAMFA, CNRS UMR 7352, Université de Picardie-Jules Verne, 33 rue Saint-Leu, 80039 Amiens, France

Citation Information: Groups - Complexity - Cryptology. Volume 4, Issue 1, Pages 167–176, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: 10.1515/gcc-2012-0001, May 2012

Publication History:
Received:
2011-11-30
Published Online:
2012-05-01

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

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