A large number of analog chaosbased secure communication systems have been proposed since the early 1990s exploiting the technique of chaos synchronization. Chapter 8 lessons learnt from the cryptanalysis of chaos. Chapter 8 lessons learnt from the cryptanalysis of chaos based ciphers gonzalo alvarez1, jos e mar a amig o2, david arroyo3, shujun li4 8. Different from the conventional cryptography as md5, and sha1, new directions in cryptography have been widely developed in the past decade, for example, chaosbased cryptography. In this paper, a chaos based cryptographic hash function is proposed for message authentication where a fixed length message digest can be generated from any messages with arbitrary length. Chaos based image encryption, 2014 junxinchen, zhiliangzhu, libozhang, chongfu, and haiyu proposed an efficient diffusion scheme for chaos based digital image encryption.
Chaosbased system for image encryption deep desai1, appoorv prasad2, jackson crasto3 computer department, mumbai university st. Chaosbased cryptography, attracting many researchers in the past decade, is a research field across two fields, i. An attempt only to mention all related papers on chaos and cryptography in this short presentation will result in a prohibitively long list. We implement cryptography with chaos following and extending the original program of shannon with 3 selected torus automorphisms, namely the baker map, the horseshoe map and the cat map. Chaos based joint compression and encryption framework for. We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which.
Chaosbased hash function cbhf for cryptographic applications. Though a large number of chaos based cryptosystems have been proposed, many of them were not designed in a secure way and have been found insecure. Although significant research has been done on chaos based cryptography. The compression function inuse is developed according to the diffusion and confusion properties of a novel highdimensional discrete chaotic map.
Many encryption proposals have been introduced to improve conventional cryptography. However, many of the proposed schemes fail to explain or do not possess a number of features that are funda. The close relationship between chaos and cryptography makes a chaosbased cryptographic algorithm a natural candidate for secure communication and cryptography. One major issue in digital chaotic cryptography is the nu. Compared with traditional cryptography, the chaos based cryptography are more flexible which make them more suitable for large scaledata encryption, such as images and video. Chaos based cryptography, attracting many researchers in the past decade, is a research field across two fields, i. This paper will examine the theory behind chaotic cryptosystems, some implemented cryptosystems, and the factors preventing chaosbased cryptography from becoming common practice. Chaosbased cryptography has attracted great interest in the past decade. Chaos is a deterministic process, which is ubiquitously present in the world.
Chaos synchronization and cryptography for secure communications. Chaos theory was originally developed by mathematicians and physicists. The encryption structure which combined the logistic map with sdes system is showed as fig. In this paper, chaosbased cryptography is discussed from a point of view which the author believes is closer to the spirit of both cryptography and chaos theory than the way the subject has been. Chaos based cryptography for voice secure wireless communication. A novel image encryption scheme based on spatial chaos map.
Cryptanalysis of a one round chaosbased substitution. Since first being investigated by robert matthews in 1989. A new chaosbased imageencryption and compression algorithm. For high security, encryption is one the approach to. We argue that if a chaotic map f is used in cryptography, then it should be implemented as a bijection f m. A brief survey of these chaos based cryptosystems and of related cryptanalytic results is given. The methods of data encryption and decryption rely on the distinct properties of chaotic systems. The interleaving of chaos and cryptography has been the aim of a large set of works since the beginning of the nineties. A variety of methods for image encryption based chaos have been developed in recent years. Shannon explicitly mentions that the basic stretchandfold mechanism of chaos can be used in cryptology.
Shannon cryptography indices for chaos cryptography are summarized in the table below. Even if in theory chaotic dynamics was thought to evolve into a new. In this paper we are trying to discuss some of the chaos based algorithm for image encryption. Much of the approach of the book in relation to public key algorithms is reductionist in nature. Table 1 contains a partial list of these properties. Oct 29, 2007 a large number of analog chaos based secure communication systems have been proposed since the early 1990s exploiting the technique of chaos synchronization.
Chaosbased simultaneous compression and encryption for. However, many of the proposed schemes fail to explain or do not possess a number of features that are fundamentally important to all kind of cryptosystems. Cryptography, chaos, image encryption, text encryption, cryptography with. The heart of any chaos based cryptosystem is the chaotic generator and so, a part of the efficiency robustness, speed of the system depends greatly on it. Pdf chaos based cryptography for voice encryption in wireless. Both of these chapters can be read without having met complexity theory or formal methods before. To save the computational resources, this paper proposes a network. In light of memristor characteristic, nonlinear circuit and chaotic cryptography, a new cryptosystem model of memristor based chaotic circuit is designed. Dhodapkar reactor control division introduction cryptography is the science of protectiinformation during ng the privacy of communication under hostile conditions. Chaotic maps and cryptographic algorithms or, more generally, maps defined on finite sets have similar properties, such as sensitivity to changes in the initial conditions and. Chaos theory becomes popular cryptography becomes more important 30 publications in 1990s various ciphers suggested focus on analog circuits.
Since chaos fundamentals such as ergodicity and high sensitivity to initial conditions are directly connected with two basic properties of good ciphers. Chapter 8 lessons learnt from the cryptanalysis of chaosbased ciphers gonzalo alvarez1, jos e mar a amig o2, david arroyo3, shujun li4 8. First, almost all chaosbased crypto graphic algorithms use dynamical systems defined on the set of real numbers, and therefore are. Memristorbased chaotic circuit for textimage encryption and. It chaos properties, such as randomness and ergodicity, have been proved to be suitable for. Analog chaosbased secure communications and cryptanalysis. Some basic cryptographic requirements for chaos based. Written by leading experts, it covers the basic theories, algorithms and applications of chaosbased cryptography. In this paper, chaosbased cryptography is discussed from a. Chaotic cryptography pronounces the use of chaos theory in specific physical dynamical systems working in chaotic system as measure of communication.
Some basic cryptographic requirements for chaosbased. In this paper, we revisit implementation and practical issues of chaosbased cryptography, some of which have been highlighted by alvarez and li a decade ago. The unpredictable nature of a deterministic system would seem to lend itself well to be a basis of a cryptosystem. I hope that, although this paper raises more questions than provides. This book explores the combination of ordinary and time delayed systems and their applications in cryptographic encodingprovided by publisher. Realtime and portable chaosbased cryptocompression. In this paper, a chaosbased cryptographic hash function is proposed for message authentication where a fixed length message digest can be generated from any messages with arbitrary length. Sage journals oxford journals wiley online library informs.
Different from the conventional cryptography as md5, and sha1, new directions in cryptography have been widely developed in the past decade, for example, chaos based cryptography. Since 1990s, many researchers have noticed that there exists an interesting relationship between chaos and cryptography. The book gives a thorough description of chaosbased cryptography, which consists of chaos basic theory, chaos properties suitable for cryptography, chaosbased cryptographic techniques, and various secure applications based on chaos. Decryption requires the reverse application of the algorithms. This paper is devoted to the analysis of the impact of chaosbased techniques on block encryption ciphers. The close relationship between chaos and cryptography makes a chaos based cryptographic algorithm a natural candidate for secure communication and cryptography. Additionally, it covers both the latest research results and some open issues or hot topics. Citeseerx document details isaac councill, lee giles, pradeep teregowda. However, many proposals possess serious problems according to the basic requirements for the secure exchange of information.
Review of the book chaosbased cryptography edited by ljupco. Theory, algorithms and applications studies in computational intelligence ljupco kocarev, shiguo lian on. In this paper, an overview of cryptography, optimization algorithm and chaos theory is provided and a novel approach for encryption and decryption based on chaos and optimization algorithms is discussed. Request pdf a survey of chaosbased cryptography as an offshoot of dynamical systems, chaos is highly sensitive to initial conditions and exhibits seemingly random behavior. In recent years, a large amount of work on chaosbased cryptosystems have been published. Dhodapkar reactor control division introduction cryptography is the science of protectiinformation during ng the privacy of. Some recently proposed countermeasures against known attacks are also introduced. Chaosbased symmetric key cryptosystems christopher a. In this paper, chaosbased cryptography is discussed from a point of view which the author. Chaosbased cryptography for voice secure wireless communication. A novel image encryption scheme based on spatial chaos map fuyan suna, shutang liua, zhongqin lib, zongwang lu. The aim of this project is to develop a chaosbased cryptography library for arduino that can be used in a system to encrypt the information protecting it while travelling through unsafe channels.
Chaosbased encryption is easier to compute and use. The theory deals with the behaviors of nonlinear dynamic systems. Many different schemes have been proposed to take advantage of those properties and to design new strategies to encrypt information. Abstractin this brief article, chaosbased cryptography is discussed from a point of view which i believe is closer to the spirit of both cryptography and chaos theory than the way the subject has been treated recently by many researchers. Chaotic cryptography is based on the properties of chaos as source of entropy.
Chaos theory and cryptography cryptography ii term paper. Cryptography methodologies are critically important for storage of secured media content and transmission over exposed systems, for example, the web. This paper is devoted to the analysis of the impact of chaos based techniques on block encryption ciphers. A brief survey of these chaosbased cryptosystems and of related cryptanalytic results is given. The book gives a thorough description of chaosbased. Chaotic cryptography is the application of the mathematical chaos theory to the practice of the cryptography, the study or techniques used to privately and securely transmit information with the presence of a thirdparty or adversary. We first introduce the various areas of chaosbased cryptography research before narrowing our scope to symmetrickey cryptography. Security solution for endtoend image transmission requires content adaptation at intermediate nodes, which consumes significant resources to decrypt, process, and reencrypt the secured data. It chaos properties, such as randomness and ergodicity, have been proved to be suitable for designing the means for data protection. Publicchannel cryptography based on mutual chaos pass. Please click button to get chaos based cryptography book now. Chaos based cryptography emerged in the early 1990s as an innovative application of nonlinear dynamics in the chaotic regime. For high security, encryption is one the approach to guard the information from leakage.
Review of the book chaosbased cryptography edited by. The chaos based cryptography is discussed from a point of view which we believe is closer to the spirit of both cryptography and chaos theory than the way the subject has been treated recently by. The maps and algorithms may be combined as desired, creating keys as complicated as desired. All calgary corpus files are available from the university of calgary, canada, 1990.
However, the right and efficient use of chaos in the context of cryptography requires a thorough knowledge about the dynamics of the selected chaotic system. By now, the history of chaosbased cryptography is more than two decades long. Pdf cryptography with chaos minh phan quoc academia. Chaosbased cryptography emerged in the early 1990s as an innovative application of nonlinear dynamics in the chaotic regime. The heart of any chaosbased cryptosystem is the chaotic generator and so, a part of the efficiency robustness, speed of the system depends greatly on it. Chaotic cryptography describes the use of chaos theory in particular physical. We first introduce the various areas of chaos based cryptography research before narrowing our scope to symmetrickey cryptography. Using the wellknown principles in the cryptanalysis we show that these ciphers do not behave worse than the standard ones, opening in this way a novel approach to the design of block encryption ciphers. Even if in theory chaotic dynamics was thought to evolve into a new revolution in cryptography, in reallife an efficient and reliable chaosbased cryptosystem didnt emerge. In fact, it has been noticed that a systematic approach to the design and security evaluation of chaos based cryptosystems is lacking.
In this paper, chaos based cryptography is discussed from a. Using the wellknown principles in the cryptanalysis we show that these ciphers do not behave worse than the standard ones, opening in this way a novel approach to the. As an application example of integrating fuzzy logic and chaos theory, a fuzzymodelbased chaotic cryptosystem is introduced in this chapter. Chaotic cryptology includes two integral opposite parts. In this paper, we revisit implementation and practical issues of chaos based cryptography, some of which have been highlighted by alvarez and li a decade ago. The chaosbased cryptography is discussed from a point of view which we believe is closer to the spirit of both cryptography and chaos theory than the way the subject has been treated recently by. All books are in clear copy here, and all files are secure so dont worry about it. Compared with traditional cryptography, the chaosbased cryptography are more flexible which make them more suitable for large scaledata encryption, such as images and video. In recent years, a large amount of work on chaos based cryptosystems have been published. In this paper, chaosbased cryptography is discussed from a point of view which the author believes is closer to the spirit of both cryptography and chaos theory than the way. Francis institute of technology, abstract we propose an algorithm that will allow encryption of image data. We then attempt to implement an encryption scheme based upon baptistas original construction in 1998. This book gives a thorough description of chaosbased cryptography. Pdf over the past decade, there has been tremendous interest in studying the behavior of chaotic systems.
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