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Public Key Cryptosystem based on Pell’s Equation Using The Gnu Mp Library

Author(s): K V S S R S S Sarma | P S Avadhani

Journal: International Journal on Computer Science and Engineering
ISSN 0975-3397

Volume: 3;
Issue: 2;
Start page: 739;
Date: 2011;
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Keywords: Pell’s Equation | Public key cryptosystem | Cryptography | RSA | PKI | MP | GNU.

Protection of data is the utmost thing for any company related to digital information. There are several malicious methods adapted, based on the priority of demand of that piece of information. There are several cryptosystems implementing various algorithms. We are developing a cryptosystem based on Pell’s Equation. RSA algorithm is extensively used in the popular implementations of Public Key Infrastructures. In this paper, we have done an efficient mplementation of RSA algorithm and Pell’s Equation using GMP library from GNU. We have also analyzed the changes in the performance of the algorithm by changing the number of bits of message and keys.
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