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相关论文: Cryptographic Pseudo-Random Sequences from the Cha…

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Many automatic sequences, such as the Thue-Morse sequence or the Rudin-Shapiro sequence, have some desirable features of pseudorandomness such as a large linear complexity and a small well-distribution measure. However, they also have some…

数论 · 数学 2021-05-10 László Mérai , Arne Winterhof

In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures of pseudorandomness: balance, linear complexity,…

数论 · 数学 2023-05-22 Arne Winterhof

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…

密码学与安全 · 计算机科学 2015-03-19 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

Applying chaos theory for secure digital communications is promising and it is well acknowledged that in such applications the underlying chaotic systems should be carefully chosen. However, the requirements imposed on the chaotic systems…

密码学与安全 · 计算机科学 2022-04-06 Yong Wang , Zhuo Liu , Leo Yu Zhang , Fabio Pareschi , Gianluca Setti , Guanrong Chen

Two-dimensional one-way coupled map lattices are used for cryptograph where multiple space units produce chaotic outputs in parallel. One of the outputs plays the role of driving for synchronization of the decryption system while the others…

混沌动力学 · 物理学 2015-06-26 Huaping Lu , Shihong Wang , Xiaowen Li , Guoning Tang , Jinyu Kuang , Weiping Ye , Gang Hu

Gaussian random number generators attract a widespread interest due to their applications in several fields. Important requirements include easy implementation, tail accuracy, and, finally, a flat spectrum. In this work, we study the…

信息论 · 计算机科学 2024-04-04 Francisco-Javier Soto , Ana I. Gómez , Domingo Gómez-Pérez

Chaotic dynamics is widely used to design pseudo-random number generators and for other applications such as secure communications and encryption. This paper aims to study the dynamics of discrete-time chaotic maps in the digital (i.e.,…

密码学与安全 · 计算机科学 2018-12-19 Chengqing Li , Bingbing Feng , Shujun Li , Juergen Kurths , Guanrong Chen

This paper studies the security of a secure communication scheme based on two discrete-time intermittently-chaotic systems synchronized via a common random driving signal. Some security defects of the scheme are revealed: 1) the key space…

混沌动力学 · 物理学 2016-08-16 Shujun Li , Gonzalo Álvarez , Guanrong Chen , Xuanqin Mou

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…

混沌动力学 · 物理学 2017-06-07 Jeaneth Machicao , Odemir Martinez Bruno

Spatiotemporal chaos of a two-dimensional one-way coupled map lattice is used for chaotic cryptography. The chaotic outputs of many space units are used for encryption simultaneously. This system shows satisfactory cryptographic properties…

混沌动力学 · 物理学 2018-01-17 Shihong Wang , Weiping Ye , Huaping Lu , Jinyu Kuang , Jinghua Li , Yunlun Luo , Gang Hu

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…

离散数学 · 计算机科学 2013-01-23 Nabarun Mondal , Partha P. Ghosh

Pseudorandom sequences are used extensively in communications and remote sensing. Correlation provides one measure of pseudorandomness, and low correlation is an important factor determining the performance of digital sequences in…

信息论 · 计算机科学 2018-06-14 Daniel J. Katz

The mixing properties (or sensitivity to initial conditions) of two-dimensional Henon map have been explored numerically at the edge of chaos. Three independent methods, which have been developed and used so far for the one-dimensional…

统计力学 · 物理学 2009-11-07 Ugur Tirnakli

A new approach to the generation of random sequences and two dimensional random patterns is proposed in this paper in which random sequences are generated by making use of either Delaunay triangulation or Voronoi diagrams drawn from random…

密码学与安全 · 计算机科学 2011-04-12 Chakradhara Reddy Chinthapanti

Unimodal maps have been broadly used as a base of new encryption strategies. Recently, a stream cipher has been proposed in the literature, whose keystream is basically a symbolic sequence of the (one-parameter) logistic map or of the tent…

混沌动力学 · 物理学 2013-10-29 David Arroyo , Gonzalo Alvarez , Jose Maria Amigo , Shujun Li

Providing security in the transmission of images and other multimedia data has become one of the most important scientific and practical issues. In this paper, a method for compressing and encryption images is proposed, which can safely…

多媒体 · 计算机科学 2022-08-25 Mahdi Shariatzadeh , Mahdi Eftekhari , Mohammad Javad Rostami

In this paper we have proposed a method that uses chaotic logistic mapping and DNA encoding to encrypt the image. A 32 bit ASCII private key is used to diffuse the image. The results demonstrated clearly show that encryption algorithm based…

密码学与安全 · 计算机科学 2020-03-17 Sakshi Patel , Bharath K P , Rajesh Kumar Muthu

In this paper, we develop a new cellular automata-based linear model for several nonlinear pseudorandom number generators with practical applications in symmetric cryptography. Such a model generates all the solutions of linear binary…

密码学与安全 · 计算机科学 2010-05-04 Pino Caballero-Gil , Amparo Fúster-Sabater , Oscar Delgado-Mohatar

Since the introduction of the Kolmogorov complexity of binary sequences in the 1960s, there have been significant advancements in the topic of complexity measures for randomness assessment, which are of fundamental importance in theoretical…

密码学与安全 · 计算机科学 2026-04-14 Chunlei Li

Chaotic dynamics is an important source for generating pseudorandom binary sequences (PRNS). Much efforts have been devoted to obtaining period distribution of the generalized discrete Arnold's Cat map in various domains using all kinds of…

混沌动力学 · 物理学 2019-09-25 Chengqing Li , Kai Tan , Bingbing Feng , Jinhu Lü