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Get Access to Full TextWe 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.
Keywords: Public key exchange; Diffie–Hellman; group ring
Received: 2012-08-05
Published Online: 2013-05-02
Published in Print: 2013-05-01
Citation Information: Groups - Complexity - Cryptology, Volume 5, Issue 1, Pages 97–115, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc-2013-0007.
© 2013 by Walter de Gruyter Berlin Boston.
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