NDLI: Two new public key techniques in the domain of Gaussian integers

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Two new public key techniques in the domain of Gaussian integers

Content Provider	IEEE Xplore Digital Library
Author	Elkamchouchi, H. Elshenawy, K. Shaban, H.A.
Copyright Year	2003
Description	Author affiliation: Alexandria Univ., Egypt (Elkamchouchi, H.)
Abstract	This paper introduces two new public key techniques namely the "quadratic-exponentiation randomized, (QER)" and the "beta" cryptosystems and their extensions in the domain of Gaussian integers Z[i]. These two techniques employ the idea of the presence of a one-way trapdoor function. First the two cryptosystems are defined in the domain of real integers with explicit numerical examples. Then the required arithmetic of the domain of the Gaussian integers and the use of it in the extensions proposed for the two techniques are explained. Also numerical examples declaring these extensions are given. The proposed cryptosystems have many advantages over the famous and most popular public key cryptosystems the RSA and the generalized ElGamal. The proposed extensions in the domain of Gaussian integers add-up to these advantages; [Kyung-Mi Kim, February 2001].
File Size	553805
File Format	PDF
ISBN	9775031753
DOI	10.1109/NRSC.2003.157337
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-03-20
Publisher Place	Egypt
Access Restriction	Subscribed
Rights Holder	Academy of Scientific Research and Tech
Subject Keyword	Public key Public key cryptography Arithmetic Security Upper bound Testing
Content Type	Text
Resource Type	Article

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