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A major problem in using iterative number generators of the form x_i=f(x_{i-1}) is that they can enter unexpectedly short cycles. This is hard to analyze when the generator is designed, hard to detect in real time when the generator is…

密码学与安全 · 计算机科学 2010-11-02 Adi Shamir , Boaz Tsaban

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…

密码学与安全 · 计算机科学 2016-02-01 Abdessalem Abidi , Qianxue Wang , Belgacem Bouallègue , Mohsen Machhout , Christophe Gyeux

Cryptography is always very important in data origin authentications, entity authentication, data integrity and confidentiality. In recent years, a variety of chaotic cryptographic schemes have been proposed. These schemes have typical…

密码学与安全 · 计算机科学 2012-02-08 Sodeif Ahadpour , Yaser Sadra , Zahra ArastehFard

In recent years, a great amount of secure communications systems based on chaotic synchronization have been published. Most of the proposed schemes fail to explain a number of features of fundamental importance to all cryptosystems, such as…

混沌动力学 · 物理学 2007-10-23 Gonzalo Alvarez , Shujun Li

Chaotic cryptography describes the use of chaos theory (in particular physical dynamical systems working in chaotic regime as part of communication techniques and computation algorithms) to perform different cryptographic tasks in a…

混沌动力学 · 物理学 2012-03-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

Chaos-based approaches are frequently proposed in information hiding, but without obvious justification. Indeed, the reason why chaos is useful to tackle with discretion, robustness, or security, is rarely elucidated. This research work…

离散数学 · 计算机科学 2011-12-08 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

Security of information transmitted through the Internet is an international concern. This security is guaranteed by tools like hash functions. However, as security flaws have been recently identified in the current standard in this domain,…

密码学与安全 · 计算机科学 2015-03-19 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

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…

密码学与安全 · 计算机科学 2016-08-23 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

Chaotic iterations have been introduced on the one hand by Chazan, Miranker [5] and Miellou [9] in a numerical analysis context, and on the other hand by Robert [11] and Pellegrin [10] in the discrete dynamical systems framework. In both…

混沌动力学 · 物理学 2008-10-20 Jacques M. Bahi , Christophe Guyeux

In this paper, a new chaotic pseudo-random number generator (PRNG) is proposed. It combines the well-known ISAAC and XORshift generators with chaotic iterations. This PRNG possesses important properties of topological chaos and can…

密码学与安全 · 计算机科学 2010-12-22 Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

Chaotic iterations have been introduced on the one hand by Chazan, Mi- ranker [6] and Miellou [10] in a numerical analysis context, and on the other hand by Robert [12] and Pellegrin [11] in the discrete dynamical systems frame- work. In…

混沌动力学 · 物理学 2008-10-28 Jacques M. Bahi , Christophe Guyeux

In this paper, a new approach for constructing integer domain chaotic systems (IDCS) is proposed, and its chaotic behavior is mathematically proven according to the Devaney's definition of chaos. Furthermore, an analog-digital hybrid…

混沌动力学 · 物理学 2016-08-31 Qianxue Wang , Simin Yu , Christophe Guyeux , Jacques Bahi , Xiaole Fang

In this paper we present experiments in order to show how some pseudo random number generators can improve the effectiveness of a statistical cryptanalysis algorithm. We deduce mainly that a better generator enhance the accuracy of the…

密码学与安全 · 计算机科学 2014-09-19 O. Benamara , F. Merazka

Chaos enables the emergence of randomness in deterministic physical systems. Therefore it can be exploited for the conception of true random number generators (RNG) mandatory in classical cryptography applications. Meanwhile, nanomechanical…

介观与纳米尺度物理 · 物理学 2022-09-14 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

Dynamic and non-linear systems are emerging as potential candidates for random bit generation. In this context, chaotic systems, which are both dynamic and stochastic, are particularly suitable. This paper introduces a new continuous…

系统与控制 · 电气工程与系统科学 2023-01-09 Ngoc T. Nguyen , Toan Q. Bui , Ghyslain Gagnon , Pascal Giard , Georges Kaddoum

While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved…

信号处理 · 电气工程与系统科学 2022-10-14 Thomas L. Carroll

Chaotic semiconductor lasers have been widely investigated for high-speed random bit generation, which is applied for the generation of cryptographic keys for classical and quantum cryptography systems. Here, we propose and demonstrate a…

光学 · 物理学 2023-02-10 Jian-Cheng Li , Jin-Long Xiao , Yue-De Yang , You-Ling Chen , Yong-Zhen Huang

Harnessing quantum processes is an efficient method to generate truly indeterministic random numbers, which are of fundamental importance for cryptographic protocols, security applications or Monte-Carlo simulations. Recently, quantum…

量子物理 · 物理学 2019-11-14 Johannes Thewes , Carolin Lüders , Marc Aßmann

In this paper, a novel formulation of discrete chaotic iterations in the field of dynamical systems is given. Their topological properties are studied: it is mathematically proved that, under some conditions, these iterations have a chaotic…

密码学与安全 · 计算机科学 2017-02-09 Jacques M. Bahi , Christophe Guyeux

Sub-categories of mathematical topology, like the mathematical theory of chaos, offer interesting applications devoted to information security. In this research work, we have introduced a new chaos-based pseudorandom number generator…

密码学与安全 · 计算机科学 2017-06-27 Mohammed Bakiri , Jean-François Couchot , Christophe Guyeux