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Error function analysis is an effective attack against chaotic cryptograph [PRE 66, 065202(R) (2002)]. The basin structure of the error function is crucial for determining the security of chaotic cryptosystems. In the present paper the…

Chaotic Dynamics · Physics 2015-06-26 Guoning Tang , Shihong Wang , Huaping Lu , Gang Hu

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

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

A new self-synchronizing stream cipher (SSSC) is proposed based on one-way and nearest neighbor coupled integer maps. Some ideas of spatiotemporal chaos synchronization and chaotic cryptography are applied in this new SSSC system. Several…

Chaotic Dynamics · Physics 2007-05-23 Shihong Wang , Huaping Lv , Gang Hu

Different chaos synchronization based encryption schemes are reviewed and compared from the practical point of view. As an efficient cryptanalysis tool for chaos encryption, a proposal based on the Error Function Attack is presented…

Pattern Formation and Solitons · Physics 2009-11-10 Xingang Wang , Meng Zhan , C. -H. Lai , Gang Hu

In this paper we propose a tokenization algorithm of Reversible Hybrid type, as defined in PCI DSS guidelines for designing a tokenization solution, based on a block cipher with a secret key and (possibly public) additional input. We…

Cryptography and Security · Computer Science 2019-04-26 Riccardo Longo , Massimiliano Sala , Riccardo Aragona

This paper proposes a chaos-based analog-to-information conversion system for the acquisition and reconstruction of sparse analog signals. The sparse signal acts as an excitation term of a continuous-time chaotic system and the compressive…

Information Theory · Computer Science 2015-06-12 Feng Xi , Sheng Yao Chen , Zhong Liu

We predict theoretically and verify experimentally the suppression of chaos in the Lorenz system driven by a high-frequency periodic or stochastic parametric force. We derive the theoretical criteria for chaos suppression and verify that…

Chaotic Dynamics · Physics 2009-11-10 Chol-Ung Choe , Hartmut Benner , Yuri S. Kivshar

Several efforts have been seen claiming the lightweight block ciphers as a necessarily suitable substitute in securing the Internet of Things. Currently, it has been able to envisage as a pervasive frame of reference almost all across the…

Cryptography and Security · Computer Science 2021-11-23 Ziaur Rahman , Xun Yi , Ibrahim Khalil , Mousumi Sumi

We propose a new algorithm for computing validated bounds for the solutions to the first order variational equations associated to ODEs. These validated solutions are the kernel of numerics computer-assisted proofs in dynamical systems…

Numerical Analysis · Mathematics 2020-10-15 Irmina Walawska , Daniel Wilczak

We present a rank metric code-based encryption scheme with key and ciphertext sizes comparable to that of isogeny-based cryptography for an equivalent security level. The system also benefits from efficient encryption and decryption…

Cryptography and Security · Computer Science 2019-12-02 Julien Lavauzelle , Pierre Loidreau , Ba-Duc Pham

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

In this paper, we present a unified framework of multiple attractors including multistability, multiperiodicity and multichaos. Multichaos, which means that the chaotic solution of a system lies in different disjoint invariant sets with…

Chaotic Dynamics · Physics 2014-03-10 Feng Liu , Zhi-Hong Guan

The emergence of quantum computing has introduced unprecedented security challenges to conventional cryptographic systems, particularly in the domain of optical communications. This research addresses these challenges by innovatively…

In recent years, establishing secure visual communications has turned into one of the essential problems for security engineers and researchers. However, only limited novel solutions are provided for image encryption, and limiting the…

Cryptography and Security · Computer Science 2022-04-19 Navid Abapour , Mohsen Ebadpour

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…

Cryptography and Security · Computer Science 2022-04-06 Yong Wang , Zhuo Liu , Leo Yu Zhang , Fabio Pareschi , Gianluca Setti , Guanrong Chen

Parametric search has been widely used in geometric algorithms. Cole's improvement provides a way of saving a logarithmic factor in the running time over what is achievable using the standard method. Unfortunately, this improvement comes at…

Data Structures and Algorithms · Computer Science 2013-06-14 Michael T. Goodrich , Paweł Pszona

We introduce and analyse a new, extremely simple, randomised sorting algorithm: - choose a pair of indices $\{i, j\}$ according to some distribution $q$; - sort the elements in positions $i$ and $j$ of the array in ascending order. Choosing…

Data Structures and Algorithms · Computer Science 2025-02-10 Sam Olesker-Taylor

The ability to hide information from unauthorized individuals has been a prevalent issue over the years. Countless algorithms such as DES, AES and SHA have been developed. These algorithms depend on varying key length and key management…

Cryptography and Security · Computer Science 2012-09-14 Samuel King Opoku

In this paper we explore whatever combining two chaotic dynamical systems using the fuzzy logic operator XOR can maintain or not the chaotic properties of the resulting dynamical system. This study is motivated by techniques used in…

Dynamical Systems · Mathematics 2021-01-05 Rezki Chemlal