Reconstructing applicable chaotic Baptista-type symmetric cryptosystem

This work, introduces a method to repair a cryptosystem based on a chaotic dynamical system. Baptista exploited the chaotic property of the logistic equation f(x) = b x (1 - x) to develop a cryptosystem. This cryptosystem has the ability to produce various ciphers responding to the same message i...

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Main Author: Daud, Muhamad Azlan
Format: Thesis
Language:English
Published: 2014
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/76042/1/IPM%202014%2013%20-%20IR.pdf
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author Daud, Muhamad Azlan
author_facet Daud, Muhamad Azlan
author_sort Daud, Muhamad Azlan
collection UPM
description This work, introduces a method to repair a cryptosystem based on a chaotic dynamical system. Baptista exploited the chaotic property of the logistic equation f(x) = b x (1 - x) to develop a cryptosystem. This cryptosystem has the ability to produce various ciphers responding to the same message input. Alvarez through his one-time pad attack successfully attacked the Baptista cyptosystem. Ariffin attempted to modify the cryptosystem to enhance the security of the original Baptista’s cryptosystem. Rhouma identified a flaw in the method Ariffin put forward, specifically in step 4 of the encryption procedure, where it does not implement a oneto- one operation resulting in failure to decrypt the ciphertext. The method is based on the Fractal and Iterated System (IFS), where an in-depth study on Fractal, Chaos and Cryptography is needed to assist in actualizing the research objectives. The algorithm is developed to counter the one-time pad attack. This recommended encryption algorithm also overcomes the flaw in Ariffin’s encryption procedure. The modified Baptista type cryptosystem suffers from message expansion that goes against the conventional methodology of a symmetric cryptosystem. As a result, we studied the idea of Huffman encoding. We then designed a new compression algorithm developed using ideas from the Huffman coding. Finally, the compression algorithm is applied onto the modified Baptista cryptosystem to show a possible practical deployment of the Baptista cryptosystem and to also produce better compression ratio.
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spelling upm.eprints-760422019-11-26T07:10:28Z http://psasir.upm.edu.my/id/eprint/76042/ Reconstructing applicable chaotic Baptista-type symmetric cryptosystem Daud, Muhamad Azlan This work, introduces a method to repair a cryptosystem based on a chaotic dynamical system. Baptista exploited the chaotic property of the logistic equation f(x) = b x (1 - x) to develop a cryptosystem. This cryptosystem has the ability to produce various ciphers responding to the same message input. Alvarez through his one-time pad attack successfully attacked the Baptista cyptosystem. Ariffin attempted to modify the cryptosystem to enhance the security of the original Baptista’s cryptosystem. Rhouma identified a flaw in the method Ariffin put forward, specifically in step 4 of the encryption procedure, where it does not implement a oneto- one operation resulting in failure to decrypt the ciphertext. The method is based on the Fractal and Iterated System (IFS), where an in-depth study on Fractal, Chaos and Cryptography is needed to assist in actualizing the research objectives. The algorithm is developed to counter the one-time pad attack. This recommended encryption algorithm also overcomes the flaw in Ariffin’s encryption procedure. The modified Baptista type cryptosystem suffers from message expansion that goes against the conventional methodology of a symmetric cryptosystem. As a result, we studied the idea of Huffman encoding. We then designed a new compression algorithm developed using ideas from the Huffman coding. Finally, the compression algorithm is applied onto the modified Baptista cryptosystem to show a possible practical deployment of the Baptista cryptosystem and to also produce better compression ratio. 2014-09 Thesis NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/76042/1/IPM%202014%2013%20-%20IR.pdf Daud, Muhamad Azlan (2014) Reconstructing applicable chaotic Baptista-type symmetric cryptosystem. Masters thesis, Universiti Putra Malaysia. Cryptography - Mathematics
spellingShingle Cryptography - Mathematics
Daud, Muhamad Azlan
Reconstructing applicable chaotic Baptista-type symmetric cryptosystem
title Reconstructing applicable chaotic Baptista-type symmetric cryptosystem
title_full Reconstructing applicable chaotic Baptista-type symmetric cryptosystem
title_fullStr Reconstructing applicable chaotic Baptista-type symmetric cryptosystem
title_full_unstemmed Reconstructing applicable chaotic Baptista-type symmetric cryptosystem
title_short Reconstructing applicable chaotic Baptista-type symmetric cryptosystem
title_sort reconstructing applicable chaotic baptista type symmetric cryptosystem
topic Cryptography - Mathematics
url http://psasir.upm.edu.my/id/eprint/76042/1/IPM%202014%2013%20-%20IR.pdf
work_keys_str_mv AT daudmuhamadazlan reconstructingapplicablechaoticbaptistatypesymmetriccryptosystem