Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units
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 crypt...
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| مؤلفون آخرون: | , |
| التنسيق: | article |
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2014
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/3761 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.ccis2k.org/iajit/PDF/vol.11,no.5/5320.pdf |
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| _version_ | 1864513462158229504 |
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| author | ElKassar, AbdulNasser |
| author2 | Haraty, Ramzi Fanous, Suzan |
| author2_role | author author |
| author_facet | ElKassar, AbdulNasser Haraty, Ramzi Fanous, Suzan |
| author_role | author |
| dc.creator.none.fl_str_mv | ElKassar, AbdulNasser Haraty, Ramzi Fanous, Suzan |
| dc.date.none.fl_str_mv | 2014 2016-05-12T07:41:43Z 2016-05-12T07:41:43Z 2016-05-12 |
| dc.identifier.none.fl_str_mv | 1683-3198 http://hdl.handle.net/10725/3761 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. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.ccis2k.org/iajit/PDF/vol.11,no.5/5320.pdf |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | The International Arab Journal of Information Technology |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_f405cc441e8accfdb24a4781bbf0d858 |
| identifier_str_mv | 1683-3198 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. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/3761 |
| publishDate | 2014 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of UnitsElKassar, AbdulNasserHaraty, RamziFanous, SuzanThe 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.PublishedN/A2016-05-12T07:41:43Z2016-05-12T07:41:43Z20142016-05-12Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1683-3198http://hdl.handle.net/10725/3761Haraty, 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.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttp://www.ccis2k.org/iajit/PDF/vol.11,no.5/5320.pdfenThe International Arab Journal of Information Technologyinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/37612021-03-19T09:10:06Z |
| spellingShingle | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units ElKassar, AbdulNasser |
| status_str | publishedVersion |
| title | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units |
| title_full | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units |
| title_fullStr | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units |
| title_full_unstemmed | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units |
| title_short | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units |
| title_sort | Hardening the ElGamal Cryptosystem in the Setting of the Second Group of Units |
| url | http://hdl.handle.net/10725/3761 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.ccis2k.org/iajit/PDF/vol.11,no.5/5320.pdf |