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This paper introduces a new watermarking algorithm based on discrete chaotic iterations. After defining some coefficients deduced from the description of the carrier medium, chaotic discrete iterations are used to mix the watermark and to…

Multimedia · Computer Science 2015-11-23 Jacques M. Bahi , Christophe Guyeux

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

In recent years, characterized by the innovation of technology and the digital revolution, the field of media has become important. The transfer and exchange of multimedia data and duplication have become major concerns of researchers.…

Multimedia · Computer Science 2016-02-10 Med Karim Abdmouleh , Ali Khalfallah , Med Salim Bouhlel

This paper presents a new procedure of generating hash functions which can be evaluated using some mathematical tools. This procedure is based on discrete chaotic iterations. First, it is mathematically proven, that these discrete chaotic…

Cryptography and Security · Computer Science 2008-11-18 Jacques M. Bahi , Christophe Guyeux

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

In our previous researches, a new digital watermarking scheme based on chaotic iterations has been introduced. This scheme was both stego-secure and topologically secure. The stego-security is to face an attacker in the "watermark only…

Cryptography and Security · Computer Science 2012-03-06 Jacques M. Bahi , Nicolas Friot , Christophe Guyeux

We study multi-bit watermarking for data generated by stochastic processes, where a hidden message is embedded during sampling and must be decodable by an authorized detector that possesses side information unavailable to unauthorized…

Information Theory · Computer Science 2026-05-12 Haiyun He , Yepeng Liu , Zhuoer Shen , Ziqiao Wang , Yongyi Mao , Yuheng Bu

The current work is focusing on the implementation of a robust watermarking algorithm for digital images, which is based on an innovative spread spectrum analysis algorithm for watermark embedding and on a content-based image retrieval…

Data Structures and Algorithms · Computer Science 2009-09-29 Dimitrios K. Tsolis , Spyros Sioutas , Theodore S. Papatheodorou

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…

Chaotic Dynamics · Physics 2012-03-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

This paper introduces a novel problem, distributional information embedding, motivated by the practical demands of multi-bit watermarking for large language models (LLMs). Unlike traditional information embedding, which embeds information…

Cryptography and Security · Computer Science 2025-07-03 Haiyun He , Yepeng Liu , Ziqiao Wang , Yongyi Mao , Yuheng Bu

In recent years, a growing number of cryptosystems based on chaos have been proposed, many of them fundamentally flawed by a lack of robustness and security. This paper describes the security weaknesses of a recently proposed cryptographic…

Chaotic Dynamics · Physics 2007-10-30 Gonzalo Alvarez , Shujun Li

In this paper is proposed a novel steganographic scheme based on chaotic iterations. This research work takes place into the information hiding security fields. We show that the proposed scheme is stego-secure, which is the highest level of…

Cryptography and Security · Computer Science 2011-12-19 Nicolas Friot , Christophe Guyeux , Jacques M. Bahi

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

In recent years, a growing number of cryptosystems based on chaos have been proposed. But most of them encountered many problems such as small key space and weak security. In the present paper, a new kind of chaotic cryptosystem based on…

Chaotic Dynamics · Physics 2010-10-22 S. Behnia , A. Akhshani , A. Akhavan , H. Mahmodi

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…

Chaotic Dynamics · Physics 2008-10-28 Jacques M. Bahi , Christophe Guyeux

Software watermarking allows for embedding a mark into a piece of code, such that any attempt to remove the mark will render the code useless. Provably secure watermarking schemes currently seems limited to programs computing various…

Cryptography and Security · Computer Science 2024-10-15 Jiahui Liu , Mark Zhandry

In recent years, a lot of research has gone into creating multi-layer chaotic mapping-based cryptosystems. Random-like behavior, a continuous broadband power spectrum, and a weak baseline condition dependency are all characteristics of…

Cryptography and Security · Computer Science 2022-08-15 Awnon Bhowmik , Emon Hossain , Mahmudul Hasan

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…

Discrete Mathematics · Computer Science 2011-12-08 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

In this paper, a novel steganographic scheme based on chaotic iterations is proposed. This research work takes place into the information hiding framework, and focus more specifically on robust steganography. Steganographic algorithms can…

Multimedia · Computer Science 2017-06-28 Jacques M. Bahi , Jean-François Couchot , Nicolas Friot , 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…

Chaotic Dynamics · Physics 2008-10-20 Jacques M. Bahi , Christophe Guyeux
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