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Public key exchange using matrices over group rings

Public key exchange using matrices over group rings 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups Complexity Cryptology de Gruyter

Public key exchange using matrices over group rings

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Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
1867-1144
eISSN
1869-6104
DOI
10.1515/gcc-2013-0007
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Groups Complexity Cryptologyde Gruyter

Published: May 1, 2013

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