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Cryptosystem with Redei Rational Functions via Pellconics

by P. Anuradha Kameswari, R. Chaya Kumari
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 54 - Number 15
Year of Publication: 2012
Authors: P. Anuradha Kameswari, R. Chaya Kumari
10.5120/8639-2054

P. Anuradha Kameswari, R. Chaya Kumari . Cryptosystem with Redei Rational Functions via Pellconics. International Journal of Computer Applications. 54, 15 ( September 2012), 1-6. DOI=10.5120/8639-2054

@article{ 10.5120/8639-2054,
author = { P. Anuradha Kameswari, R. Chaya Kumari },
title = { Cryptosystem with Redei Rational Functions via Pellconics },
journal = { International Journal of Computer Applications },
issue_date = { September 2012 },
volume = { 54 },
number = { 15 },
month = { September },
year = { 2012 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume54/number15/8639-2054/ },
doi = { 10.5120/8639-2054 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:55:43.785597+05:30
%A P. Anuradha Kameswari
%A R. Chaya Kumari
%T Cryptosystem with Redei Rational Functions via Pellconics
%J International Journal of Computer Applications
%@ 0975-8887
%V 54
%N 15
%P 1-6
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, two cryptosystems are constructed using the fact that Rédei rational functions are permutation polynomials and exploiting the multiplicative properties of Rédei rational functions and the inverse property of Dickson polynomial extended to Rédei rational functions. The encryptions are based on evaluating Rédei rational functions with the values connected to the solutions of the Pell's equation in . The connection between these evaluations and the convergents of solutions of Pell's equation are used in the construction of the second cryptosystem.

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Index Terms

Computer Science
Information Sciences

Keywords

Pell conics Redei Rational function Permutation Polynomial Cryptosystem

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