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Generalizations of the Diffie-Hellman protocol : exposition and implementation

Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2007.

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Other Authors: Pretorius, Lou M. (Lourens Martin)
Format: Thesis
Published: University of Pretoria 2013
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access_status_str Open Access
author2 Pretorius, Lou M. (Lourens Martin)
author_browse Pretorius, Lou M. (Lourens Martin)
author_facet Pretorius, Lou M. (Lourens Martin)
collection Thesis
dc_rights_str_mv © University of Pretor
description Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2007.
format Thesis
id oai:repository.up.ac.za:2263/24053
institution University of Pretoria (South Africa)
last_indexed 2026-06-10T12:36:32.122Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2013
publishDateRange 2013
publishDateSort 2013
publisher University of Pretoria
publisherStr University of Pretoria
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source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/24053 Generalizations of the Diffie-Hellman protocol : exposition and implementation Pretorius, Lou M. (Lourens Martin) baardseun@gmail.com Van der Berg, J.S. Diffie-hellman protocol Polynomials Model predictions UCTD Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2007. A generalisation of the Diffie-Hellman protocol is studied in this dissertation. In the generalisation polynomials are used to reduce the representation size of a public key and linear shift registers for more efficient computations. These changes are important for the implementation of the protocol in con- strained environments. The security of the Diffie-Hellman protocol and its generalisation is based on the same computations problems. Lastly three examples of the generalisation and their implementation are discussed. For two of the protocols, models are given to predict the execution time and it is determined how well these model predictions are. Mathematics and Applied Mathematics MSc unrestricted 2013-09-06T16:32:57Z 2008-04-24 2013-09-06T16:32:57Z 2007-09-06 2007 2008-04-21 Dissertation Van der Berg, JS 2007, Generalizations of the Diffie-Hellman protocol : exposition and implementation, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/24053> Pretoria http://hdl.handle.net/2263/24053 http://upetd.up.ac.za/thesis/available/etd-04212008-142906/ © University of Pretor application/pdf University of Pretoria
spellingShingle Diffie-hellman protocol
Polynomials
Model predictions
UCTD
Generalizations of the Diffie-Hellman protocol : exposition and implementation
title Generalizations of the Diffie-Hellman protocol : exposition and implementation
title_full Generalizations of the Diffie-Hellman protocol : exposition and implementation
title_fullStr Generalizations of the Diffie-Hellman protocol : exposition and implementation
title_full_unstemmed Generalizations of the Diffie-Hellman protocol : exposition and implementation
title_short Generalizations of the Diffie-Hellman protocol : exposition and implementation
title_sort generalizations of the diffie hellman protocol exposition and implementation
topic Diffie-hellman protocol
Polynomials
Model predictions
UCTD
url http://hdl.handle.net/2263/24053
http://upetd.up.ac.za/thesis/available/etd-04212008-142906/