Hardening the ElGamal cryptosystem in the setting of the second group of units
Joint Authors
Haraty, Ramzi A.
Kassar, Abd al-Nasir
Fanus, Suzan
Source
The International Arab Journal of Information Technology
Issue
Vol. 11, Issue 5 (30 Sep. 2014)
Publisher
Publication Date
2014-09-30
Country of Publication
Jordan
Main Subjects
Information Technology and Computer Science
Topics
Abstract EN
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 group F2m* of finite fields of characteristic two.
The El Gamal cryptosystem was modified to deal with Gaussian integers, and extended to work with group of units of Z p [X] / < X2>.
In this paper, we consider yet another extension to the El Gamal 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.
American Psychological Association (APA)
Haraty, Ramzi A.& Kassar, Abd al-Nasir& Fanus, Suzan. 2014. Hardening the ElGamal cryptosystem in the setting of the second group of units. The International Arab Journal of Information Technology،Vol. 11, no. 5.
https://search.emarefa.net/detail/BIM-334193
Modern Language Association (MLA)
Haraty, Ramzi A.…[et al.]. Hardening the ElGamal cryptosystem in the setting of the second group of units. The International Arab Journal of Information Technology Vol. 11, no. 5 (Sep. 2014).
https://search.emarefa.net/detail/BIM-334193
American Medical Association (AMA)
Haraty, Ramzi A.& Kassar, Abd al-Nasir& Fanus, Suzan. Hardening the ElGamal cryptosystem in the setting of the second group of units. The International Arab Journal of Information Technology. 2014. Vol. 11, no. 5.
https://search.emarefa.net/detail/BIM-334193
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-334193