Modified RSA in the domains of Gaussian integers and polynomials over finite fields

El-Kassar, A. N.; Haraty, Ramzi; Awad, Y.A.; Debnath, N. C.

dc.contributor.author	El-Kassar, A. N.
dc.contributor.author	Haraty, Ramzi
dc.contributor.author	Awad, Y.A.
dc.contributor.author	Debnath, N. C.
dc.date.accessioned	2017-04-05T12:28:54Z
dc.date.available	2017-04-05T12:28:54Z
dc.date.issued	2017-04-05
dc.identifier.uri	http://hdl.handle.net/10725/5497	en_US
dc.description.abstract	The purpose of this paper is to extend the RSA public-key encryption scheme from its classical domain of natural integers Z, to two principal ideal domains, namely the domain of Gaussian integers, Z[i], and the domain of polynomials over finite fields, F[x]. The arithmetic needed for the modifications to these domains are described. The modified RSA algorithms are given. Proofs for the new method are provided. The computational procedures are described and illustrated in numerical examples. The advantages of new scheme over the classical are pointed out. Academic paper (PDF): Modified RSA in the Domains of Gaussian Integers and Polynomials Over Finite Fields.. Available from: https://www.researchgate.net/publication/220922838_Modified_RSA_in_the_Domains_of_Gaussian_Integers_and_Polynomials_Over_Finite_Fields [accessed Apr 5, 2017].	en_US
dc.language.iso	en	en_US
dc.title	Modified RSA in the domains of Gaussian integers and polynomials over finite fields	en_US
dc.type	Conference Paper / Proceeding	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.identifier.ctation	El-Kassar, A. N., Haraty, R. A., Awad, Y. A., & Debnath, N. C. (2005, November). Modified RSA in the Domains of Gaussian Integers and Polynomials Over Finite Fields. In CAINE (pp. 298-303).	en_US
dc.author.email	abdulnassar.kassar@lau.edu.lb	en_US
dc.author.email	rharaty@lau.edu.lb	en_US
dc.conference.date	November 9-11, 2005	en_US
dc.conference.pages	298-303	en_US
dc.conference.place	Honolulu, Hawaii, USA	en_US
dc.conference.title	Proceedings of the ISCA 18th International Conference on Computer Applications in Industry and Engineering	en_US
dc.identifier.tou	http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php	en_US
dc.identifier.url	https://www.researchgate.net/publication/220922838_Modified_RSA_in_the_Domains_of_Gaussian_Integers_and_Polynomials_Over_Finite_Fields	en_US
dc.orcid.id	https://orcid.org/0000-0002-6978-3627	en_US
dc.author.affiliation	Lebanese American University	en_US