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Hybrid Ciphering System of Images based on Fractional Fourier Transform and Two Chaotic Maps

by Noha Ramadan, Hossam Eldin H. Ahmed, Said E. Elkhamy
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 119 - Number 11
Year of Publication: 2015
Authors: Noha Ramadan, Hossam Eldin H. Ahmed, Said E. Elkhamy
10.5120/21110-3892

Noha Ramadan, Hossam Eldin H. Ahmed, Said E. Elkhamy . Hybrid Ciphering System of Images based on Fractional Fourier Transform and Two Chaotic Maps. International Journal of Computer Applications. 119, 11 ( June 2015), 12-17. DOI=10.5120/21110-3892

@article{ 10.5120/21110-3892,
author = { Noha Ramadan, Hossam Eldin H. Ahmed, Said E. Elkhamy },
title = { Hybrid Ciphering System of Images based on Fractional Fourier Transform and Two Chaotic Maps },
journal = { International Journal of Computer Applications },
issue_date = { June 2015 },
volume = { 119 },
number = { 11 },
month = { June },
year = { 2015 },
issn = { 0975-8887 },
pages = { 12-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume119/number11/21110-3892/ },
doi = { 10.5120/21110-3892 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:03:45.829183+05:30
%A Noha Ramadan
%A Hossam Eldin H. Ahmed
%A Said E. Elkhamy
%T Hybrid Ciphering System of Images based on Fractional Fourier Transform and Two Chaotic Maps
%J International Journal of Computer Applications
%@ 0975-8887
%V 119
%N 11
%P 12-17
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a new implementation of a hybrid ciphering system of images in Fourier domain based on two chaotic maps. The first map is the Bakermap,which is used to scramble the image pixels in three modes of operation (CBC, CFB and OFB). The second map is the logistic map,whose secret key depends on the plain text. In the key generation step of the logistic map, the chaotic stream is generated with plain text and hence the relation between the key and the plain text is established. We use Fractional Fourier Transform (FrFT) before the encryption to achieve a large degree of randomization. We examine the proposed algorithm and compare the results with the RC6 algorithm. The performance and security analysis prove that this hybrid ciphering system is efficient, reliable, and can effectively resist different attacks.

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Index Terms

Computer Science
Information Sciences

Keywords

Baker map Fourier transform Logistic map Modes of operation and Security analysis.

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