Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units

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dc.contributor.author ElKassar, AbdulNasser
dc.contributor.author Haraty, Ramzi
dc.contributor.author Fanous, Suzan
dc.date.accessioned 2016-05-12T07:41:43Z
dc.date.available 2016-05-12T07:41:43Z
dc.date.copyright 2014 en_US
dc.date.issued 2016-05-12
dc.identifier.issn 1683-3198 en_US
dc.identifier.uri http://hdl.handle.net/10725/3761 en_US
dc.description.abstract The Elgamal encryption scheme is best described in the setting of any finite cyclic group. Its classic case is typically presented in the multiplicative group *Z p of the ring of integers modulo a prime p and the multiplicative groups * 2 F m of finite fields of characteristic two. The Elgamal cryptosystem was modified to deal with Gaussian integers, and extended to work with group of units of Zp[x]/<x2>. In this paper, we consider yet another extension to the Elgamal cryptosystem employing the second group of units of Zn and the second group of units of Z2[x]/<h(x)>, where h(x) is an irreducible polynomial. We describe the arithmetic needed in the new setting, and present examples, proofs and algorithms to illustrate the applicability of the proposed scheme. We implement our algorithms and conduct testing to evaluate the accuracy, efficiency and security of the modified cryptographic scheme. en_US
dc.language.iso en en_US
dc.title Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SOB en_US
dc.author.school SAS en_US
dc.author.idnumber 199529190 en_US
dc.author.idnumber 199729410 en_US
dc.author.department Department of Information Technology and Operations Management (ITOM) en_US
dc.description.embargo N/A en_US
dc.relation.journal The International Arab Journal of Information Technology en_US
dc.journal.volume 11 en_US
dc.journal.issue 5 en_US
dc.article.pages 514-520 en_US
dc.keywords Second group of units of znand zn[x]/<h(x)> en_US
dc.keywords Elgamal cryptosystem en_US
dc.keywords Baby step giant step attack algorithm en_US
dc.identifier.ctation Haraty, R. A., El-Kassar, A. N., & Fanous, S. (2014). Hardening the elgamal cryptosystem in the setting of the second group of units. Int. Arab J. Inf. Technol., 11(5), 514-520. en_US
dc.author.email abdulnassar.kassar@lau.edu.lb en_US
dc.author.email rharaty@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url http://www.ccis2k.org/iajit/PDF/vol.11,no.5/5320.pdf en_US
dc.orcid.id https://orcid.org/0000-0002-6978-3627 en_US

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