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Properties of certain semigroups and their potential as platforms for cryptosystems

Properties of certain semigroups and their potential as platforms for cryptosystems
Properties of certain semigroups and their potential as platforms for cryptosystems
In this paper, we study some properties of semigroups with presentation (a, b ; ap = br, aq = bs ). We will also study their potential as platforms for the Diffie-Hellman key exchange protocol.
semigroups, diffie-hellman, discrete logarithm problem, key exchange protocol, cryptosystems
0037-1912
172-186
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Pride, S.J.
f1c0f4f2-dab1-4675-8165-7928da353778
Othman, W.A.M.
2bc38150-a24b-41f1-a108-0de28796a2c0
Wong, K.B.
f1ce1cab-9ede-4b25-931c-ee2d51f69db9
Wong, P.C.
87cf1998-dc2c-4894-ac14-d3d168989632
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Pride, S.J.
f1c0f4f2-dab1-4675-8165-7928da353778
Othman, W.A.M.
2bc38150-a24b-41f1-a108-0de28796a2c0
Wong, K.B.
f1ce1cab-9ede-4b25-931c-ee2d51f69db9
Wong, P.C.
87cf1998-dc2c-4894-ac14-d3d168989632

Kropholler, P.H., Pride, S.J., Othman, W.A.M., Wong, K.B. and Wong, P.C. (2010) Properties of certain semigroups and their potential as platforms for cryptosystems. Semigroup Forum, 81 (1), 172-186. (doi:10.1007/s00233-010-9248-8).

Record type: Article

Abstract

In this paper, we study some properties of semigroups with presentation (a, b ; ap = br, aq = bs ). We will also study their potential as platforms for the Diffie-Hellman key exchange protocol.

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More information

Published date: July 2010
Keywords: semigroups, diffie-hellman, discrete logarithm problem, key exchange protocol, cryptosystems
Organisations: Mathematical Sciences
Learn more about Mathematical Sciences research

Identifiers

Local EPrints ID: 349584
URI: http://eprints.soton.ac.uk/id/eprint/349584
DOI: doi:10.1007/s00233-010-9248-8
ISSN: 0037-1912
PURE UUID: 407bb4fd-20fa-4234-9b4c-985ea1c4cb77
ORCID for P.H. Kropholler: ORCID iD orcid.org/0000-0001-5460-1512

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Date deposited: 11 Mar 2013 09:40
Last modified: 15 Mar 2024 03:46

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Contributors

Author: P.H. Kropholler ORCID iD
Author: S.J. Pride
Author: W.A.M. Othman
Author: K.B. Wong
Author: P.C. Wong

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