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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

Due to the rapid development of the Internet in recent years, the need to find new tools to reinforce trust and security through the Internet has became a major concern. The discovery of new pseudo-random number generators with a strong…

Cryptography and Security · Computer Science 2016-11-17 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

In this paper, a new pseudo-random number generator (PRNG) based on chaotic iterations is proposed. This method also combines the digits of two XORshifts PRNGs. The statistical properties of this new generator are improved: the generated…

Cryptography and Security · Computer Science 2010-12-22 Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

Security of information transmitted through the Internet, against passive or active attacks is an international concern. The use of a chaos-based pseudo-random bit sequence to make it unrecognizable by an intruder, is a field of research in…

Cryptography and Security · Computer Science 2010-04-15 Qianxue Wang , Christophe Guyeux , Jacques M. Bahi

Chaos and its applications in the field of secure communications have attracted a lot of attention. Chaos-based pseudo-random number generators are critical to guarantee security over open networks as the Internet. We have previously…

Cryptography and Security · Computer Science 2016-11-17 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of x= cot2(x). Digital computer simulation of this function iteration exhibits random behavior. A method is proposed to extract…

Discrete Mathematics · Computer Science 2013-01-23 Nabarun Mondal , Partha P. Ghosh

Lots of researches indicate that the inefficient generation of random numbers is a significant bottleneck for information communication applications. Therefore, Field Programmable Gate Array (FPGA) is developed to process a scalable…

Cryptography and Security · Computer Science 2016-08-23 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Laurent Larger

Design and cryptanalysis of chaotic encryption schemes are major concerns to provide secured information systems. Pursuing our previous research works, some well-defined discrete chaotic iterations that satisfy the reputed Devaney's…

Chaotic Dynamics · Physics 2016-11-28 Xiaole Fang , Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

We introduce new families of enhanced chaotic number generators in order to compute very fast long series of pseudorandom numbers. The key feature of these generators being the use of chaotic numbers themselves for sampling chaotic…

Dynamical Systems · Mathematics 2008-02-20 R. Lozi

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…

Cryptography and Security · Computer Science 2014-09-19 O. Benamara , F. Merazka

With the widespread use of communication technologies, cryptosystems are therefore critical to guarantee security over open networks as the Internet. Pseudo-random number generators (PRNGs) are fundamental in cryptosystems and information…

Cryptography and Security · Computer Science 2011-12-06 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux , Qianxue Wang

Investigating how to construct a secure hash algorithm needs in-depth study, as various existing hash functions like the MD5 algorithm have recently exposed their security flaws. At the same time, hash function based on chaotic theory has…

Cryptography and Security · Computer Science 2017-06-27 Zhuosheng Lin , Christophe Guyeux , Simin Yu , Qianxue Wang

Mean value and cross-covariance function of chaotic binary sequences are evaluated for chaotic maps with specific properties. We also take into account the effect of fixed- and floating-point representations on statistical properties of…

Chaotic Dynamics · Physics 2008-05-29 Bogdan Cristea

After a brief introduction to a new chaotic stream cipher Mmohocc which utilizes the fundamental chaos characteristics of mixing, unpredictability, and sensitivity to initial conditions, we conducted the randomness statistical tests against…

Cryptography and Security · Computer Science 2007-05-23 Xiaowen Zhang , Ke Tang , Li Shu

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…

Cryptography and Security · Computer Science 2010-12-22 Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

A generalized method is proposed to compose new orbits from a given chaotic map. The method provides an approach to examine discrete-time chaotic maps in a "deep-zoom" manner by using $k$-digits to the right from the decimal separator of a…

Chaotic Dynamics · Physics 2017-06-07 Jeaneth Machicao , Odemir Martinez Bruno

Chaotic iterations, a tool formerly used in distributed computing, has recently revealed various interesting properties of disorder leading to its use in the computer science security field. In this paper, a comprehensive study of its…

Chaotic Dynamics · Physics 2016-08-23 Christophe Guyeux , Jacques M. Bahi

This paper introduces a new notion of chaotic algorithms. These algorithms are iterative and are based on so-called chaotic iterations. Contrary to all existing studies on chaotic iterations, we are not interested in stable states of such…

Cryptography and Security · Computer Science 2015-11-03 Christophe Guyeux , Jacques M. Bahi

Conventional random number generators provide the speed but not necessarily the high quality output streams needed for large-scale stochastic simulations. Cryptographically-based generators, on the other hand, provide superior quality…

Numerical Analysis · Mathematics 2013-07-17 William K. Cochran , Michael T. Heath , Kyle W. McKiou

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…

Cryptography and Security · Computer Science 2012-02-08 Sodeif Ahadpour , Yaser Sadra , Zahra ArastehFard
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