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The truly chaotic finite machines introduced by authors in previous research papers are presented here. A state of the art in this discipline, encompassing all previous mathematical investigations, is provided, explaining how finite state…

Cryptography and Security · Computer Science 2017-08-17 Christophe Guyeux , Qianxue Wang , Xiole Fang , Jacques Bahi

Utilizing complex dynamics of chaotic maps and systems in encryption was studied comprehensively in the past two and a half decades. In 1989, Fridrich's chaotic image encryption scheme was designed by iterating chaotic position permutation…

Cryptography and Security · Computer Science 2016-10-11 Eric Yong Xie , Chengqing Li , Simin Yu , Jinhu Lü

Guaranteeing the security of information transmitted through the Internet, against passive or active attacks, is a major concern. The discovery of new pseudo-random number generators with a strong level of security is a field of research in…

Cryptography and Security · Computer Science 2015-03-19 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

This paper presents a comprehensive analysis on the security of the Yi-Tan-Siew chaotic cipher proposed in [IEEE TCAS-I 49(12):1826-1829 (2002)]. A differential chosen-plaintext attack and a differential chosen-ciphertext attack are…

Cryptography and Security · Computer Science 2007-05-23 Shujun Li , Guanrong Chen , Xuanqin Mou

Today, the protection of information, ensuring of the safety and the recall in lossless in case of need is highly significant and it is seen as a major threat in the field. Information security is possible by hiding the available data, by…

Cryptography and Security · Computer Science 2019-02-13 Nurettin Topaloglu , M. Hanefi Calp , Burak Turk

Hash functions are cryptographic tools, which are notably involved in integrity checking and password storage. They are of primary importance to improve the security of exchanges through the Internet. However, as security flaws have been…

Cryptography and Security · Computer Science 2016-08-23 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

This paper reports on the experimental implementation of the quantum baker's map via a three bit nuclear magnetic resonance (NMR) quantum information processor. The experiments tested the sensitivity of the quantum chaotic map to…

Quantum Physics · Physics 2009-11-07 Yaakov S. Weinstein , Seth Lloyd , Joseph V. Emerson , David G. Cory

To guarantee the integrity and security of data transmitted through the Internet, hash functions are fundamental tools. But recent researches have shown that security flaws exist in the most widely used hash functions. So a new way to…

Chaotic Dynamics · Physics 2017-08-10 Zhuosheng Lin , Christophe Guyeux , Qianxue Wang , Simin Yu

The proposed hybrid message embedded scheme consists of hill cipher combined with message embedded chaotic scheme. Message-embedded scheme using non-linear feedback shift register as non-linear function and 1-D logistic map as chaotic map…

Cryptography and Security · Computer Science 2012-09-13 Mina Mishra , V. H. Mankar

A computationally secure noised based cipher system is proposed. The advantage of this cipher system is that it operates above noise level. Therefore computationally secure communication can be done when error correction code fails. Another…

Quantum Physics · Physics 2007-05-23 Arindam Mitra

This work presents the hardware demonstrator of a secure encryption system based on synchronised Chua chaotic circuits. In particular, the presented encryption system comprises two Chua circuits that are synchronised using a dedicated…

This short communication shows that the Chessography encryption scheme is incorrect, redundant, and the the security claims based on the complexity of chess games are unjustified. It also demonstrates an insufficient randomness in the final…

Cryptography and Security · Computer Science 2024-12-16 Martin Stanek

Secure communication is a matter of genuine concern that includes means whereby entities can share information without a third party's interception. Key agreement protocols are one of the common approaches in which two or more parties can…

Cryptography and Security · Computer Science 2018-01-10 Nahid Yahyapoor , Hamed Yaghoobian , Manijeh Keshtgari

The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos…

Chaotic Dynamics · Physics 2015-05-13 Donatello Materassi , Michele Basso

Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic properties, which seem to be suitable for use in Cryptography. Moreover, they satisfy a semi-group property, which…

Cryptography and Security · Computer Science 2007-05-23 Pina Bergamo , Paolo D'Arco , Alfredo De Santis , Ljupco Kocarev

Chaotic systems play a key role in modern image encryption due to their sensitivity to initial conditions, ergodicity, and complex dynamics. However, many existing chaos-based encryption methods suffer from vulnerabilities, such as…

Cryptography and Security · Computer Science 2025-10-15 Weixuan Li , Guang Yu , Quanjun Li , Junhua Zhou , Jiajun Chen , Yihang Dong , Mengqian Wang , Zimeng Li , Changwei Gong , Lin Tang , Xuhang Chen

This paper describes the security weaknesses of a recently proposed secure communication method based on chaotic masking using projective synchronization of two chaotic systems. We show that the system is insecure and how to break it in two…

Chaotic Dynamics · Physics 2007-10-23 Gonzalo Alvarez , Shujun Li , F. Montoya , M. Romera , G. Pastor

This paper discusses mixing of chaotic systems as a dependable method for secure communication. Distribution of the entropy function for steady state as well as plaintext input sequences are analyzed. It is shown that the mixing of chaotic…

Cryptography and Security · Computer Science 2007-05-23 Ninan Sajeeth Philip , K. Babu Joseph

The cipher block chaining (CBC) block cipher mode of operation presents a very popular way of encrypting which is used in various applications. In previous research work, we have mathematically proven that, under some conditions, this mode…

Cryptography and Security · Computer Science 2016-02-01 Abdessalem Abidi , Qianxue Wang , Belgacem Bouallègue , Mohsen Machhout , Christophe Gyeux

This paper presents a new procedure of generating hash functions which can be evaluated using some mathematical tools. This procedure is based on discrete chaotic iterations. First, it is mathematically proven, that these discrete chaotic…

Cryptography and Security · Computer Science 2008-11-18 Jacques M. Bahi , Christophe Guyeux