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Chaotic behavior arises from very simple non-linear dynamical equation of logistic map which makes it was used often in designing chaotic image encryption schemes. However, some properties of chaotic maps can also facilitate cryptanalysis…

Cryptography and Security · Computer Science 2016-10-14 Chengqing Li , Tao Xie , Qi Liu , Ge Cheng

Random numbers are important in many activities, including communication, encryption, science, gambling, finance, and decision-making. There is a strong demand for a hardware random number generator that could support cryptographic…

Algorithms that rely on a pseudorandom number generator often lose their performance guarantees when adversaries can predict the behavior of the generator. To protect non-cryptographic applications against such attacks, we propose 'strong'…

Cryptography and Security · Computer Science 2018-10-05 Jan Wassenberg , Robert Obryk , Jyrki Alakuijala , Emmanuel Mogenet

A secure and reliable image encryption scheme is presented in this study. The encryption scheme hereby introduces a novel chaotic log-map, deep convolution neural network (CNN) model for key generation, and bit reversion operation for the…

Information Theory · Computer Science 2022-02-01 Uğur Erkan , Abdurrahim Toktas , Serdar Enginoğlu , Enver Karabacak , Dang N. H. Thanh

Recently, an image encryption scheme based on a compound chaotic sequence was proposed. In this paper, the security of the scheme is studied and the following problems are found: (1) a differential chosen-plaintext attack can break the…

Cryptography and Security · Computer Science 2009-12-21 Chengqing Li , Shujun Li , Guanrong Chen , Wolfgang A. Halang

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

Haar wavelet is one of the best mathematical tools in image cryptography and analysis. Because of the specific structure, this wavelet has the ability which is combined with other mathematical tools such as chaotic maps. The rational order…

Cryptography and Security · Computer Science 2017-01-16 Sodeif Ahadpour , Yaser Sadra , Meisam Sadeghi

We present a novel, computationally simple method of hiding any message in the stream of random bits by using a secret key. The method is called Bury Among Random Numbers (BARN). A stream of random bits is produced by extracting the entropy…

Cryptography and Security · Computer Science 2024-04-16 Jan J. Tatarkiewicz , Wieslaw B. Kuzmicz

We explore the implementation of pseudo-random single-qubit rotations and multi-qubit pseudo-random circuits constructed only from Clifford gates and the T-gate, a phase rotation of pi/4. Such a gate set would be appropriate for…

Quantum Physics · Physics 2015-06-17 Yaakov S. Weinstein

We consider a family of singular maps as an example of a simple model of dynamical systems exhibiting the property of robust chaos on a well defined range of parameters. Critical boundaries separating the region of robust chaos from the…

Chaotic Dynamics · Physics 2008-05-20 M. G. Cosenza , O. Alvarez-LLamoza

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

Security of multimedia data is a major concern due to its widespread transmission over various communication channels. Hence design and study of good image encryption schemes has become a major research topic. During the last few decades,…

Cryptography and Security · Computer Science 2018-09-27 Pratyusa Mukherjee , Krishnendu Rarhi , Abhishek Bhattacharya

A 1-dimensional generalization of the well known Logistic Map is proposed. The proposed family of maps is referred to as the B-Exponential Map. The dynamics of this map are analyzed and found to have interesting properties. In particular,…

Cryptography and Security · Computer Science 2011-01-25 Mahesh C Shastry , Nithin Nagaraj , Prabhakar G Vaidya

The ultimate random number generators are those certified to be unpredictable -- including to an adversary. The use of simple quantum processes promises to provide numbers that no physical observer could predict but, in practice, unwanted…

Random number generation is crucial in many aspects of everyday life, as online security and privacy depend ultimately on the quality of random numbers. Many current implementations are based on pseudo-random number generators, but…

Ever since the link between nonlinear science and cryptography became apparent, the problem of applying chaotic dynamics to the construction of cryptographic systems has gained a broad audience and has been the subject of thousands of…

Cryptography and Security · Computer Science 2024-05-07 Samuel Everett

With the development of smart grid, the operation and control of power system is realized through power communication network, especially the power production and enterprise management business involve a large amount of sensitive…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Fangfang Zhang , Zhe Huang , Lei Kou , Yang Li , Maoyong Cao , Fengying Ma

Using the slow triangle map (a type of multi-dimensional continued fraction algorithm), we exhibit a method for generating any number of new identities for subsets of integer partitions.

Combinatorics · Mathematics 2022-12-06 Wael Baalbaki , Thomas Garrity

Fast secure random number generation is essential for high-speed encrypted communication, and is the backbone of information security. Generation of truly random numbers depends on the intrinsic randomness of the process used and is usually…

Quantum Physics · Physics 2019-05-15 Ben Haylock , Daniel Peace , Francesco Lenzini , Christian Weedbrook , Mirko Lobino

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
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