Chaos Based Cryptography An Alternative to Algebraic Cryptography
In this paper we will first discuss cryptography from a historical point of view in order to understand the motivation behind this science. We will discuss the earliest form of cryptography before fast forwarding to the current modem forms of cryptography. We will then mention issues surroundi...
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| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12465/ http://psasir.upm.edu.my/id/eprint/12465/1/Artikel_7_vol2_no1.pdf |
| _version_ | 1848841850483376128 |
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| author | Kamel Ariffin, Muhammad Rezal |
| author_facet | Kamel Ariffin, Muhammad Rezal |
| author_sort | Kamel Ariffin, Muhammad Rezal |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we will first discuss cryptography
from a historical point of view in order to
understand the motivation behind this science. We
will discuss the earliest form of cryptography
before fast forwarding to the current modem forms
of cryptography.
We will then mention issues surrounding current
modem cryptographic methods before introducing
chaos based cryptography. The relationship
between chaos and cryptography makes it natural
to employ chaotic systems to design new
cryptosystems. It is based on the facts that chaotic
signals are usually noise-like and chaotic systems
are very sensitive to initial conditions. Their
sensitivity to initial conditions and their spreading
out of trajectories over the whole interval seems to
be a model that satisfies the classic Shannon
requirements of confusion and diffusion [1] From 1989 onwards, many different chaotic
encryption systems have been proposed. The most
celebrated chaotic cryptosystem is based on the
ergodicity property of chaotic maps [2] and has
received more and more attentions in the past
literature [3-17]. Introduced by Baptista in 1998, it
is able to produce different ciphers for the same
plaintext.
It was cracked by Alvarez in 2003 via the one-time
pad attack. In 2008, M.R.K.Ariffin and
M.S.M.Noorani [22] engaged the attack and
devised a counter measure against it. |
| first_indexed | 2025-11-15T07:49:47Z |
| format | Article |
| id | upm-12465 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:49:47Z |
| publishDate | 2008 |
| publisher | Institute for Mathematical Research |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-124652013-05-27T07:52:26Z http://psasir.upm.edu.my/id/eprint/12465/ Chaos Based Cryptography An Alternative to Algebraic Cryptography Kamel Ariffin, Muhammad Rezal In this paper we will first discuss cryptography from a historical point of view in order to understand the motivation behind this science. We will discuss the earliest form of cryptography before fast forwarding to the current modem forms of cryptography. We will then mention issues surrounding current modem cryptographic methods before introducing chaos based cryptography. The relationship between chaos and cryptography makes it natural to employ chaotic systems to design new cryptosystems. It is based on the facts that chaotic signals are usually noise-like and chaotic systems are very sensitive to initial conditions. Their sensitivity to initial conditions and their spreading out of trajectories over the whole interval seems to be a model that satisfies the classic Shannon requirements of confusion and diffusion [1] From 1989 onwards, many different chaotic encryption systems have been proposed. The most celebrated chaotic cryptosystem is based on the ergodicity property of chaotic maps [2] and has received more and more attentions in the past literature [3-17]. Introduced by Baptista in 1998, it is able to produce different ciphers for the same plaintext. It was cracked by Alvarez in 2003 via the one-time pad attack. In 2008, M.R.K.Ariffin and M.S.M.Noorani [22] engaged the attack and devised a counter measure against it. Institute for Mathematical Research 2008-12 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12465/1/Artikel_7_vol2_no1.pdf Kamel Ariffin, Muhammad Rezal (2008) Chaos Based Cryptography An Alternative to Algebraic Cryptography. Math Digest : Research Bulletin Institute for Mathematical Research, 2 (1). pp. 41-47. ISSN 1985-2436 English |
| spellingShingle | Kamel Ariffin, Muhammad Rezal Chaos Based Cryptography An Alternative to Algebraic Cryptography |
| title | Chaos Based Cryptography An Alternative to Algebraic Cryptography |
| title_full | Chaos Based Cryptography An Alternative to Algebraic Cryptography |
| title_fullStr | Chaos Based Cryptography An Alternative to Algebraic Cryptography |
| title_full_unstemmed | Chaos Based Cryptography An Alternative to Algebraic Cryptography |
| title_short | Chaos Based Cryptography An Alternative to Algebraic Cryptography |
| title_sort | chaos based cryptography an alternative to algebraic cryptography |
| url | http://psasir.upm.edu.my/id/eprint/12465/ http://psasir.upm.edu.my/id/eprint/12465/1/Artikel_7_vol2_no1.pdf |