148:
digital images were proposed. However, there were three main aspects of the design of an image encryption that was usually modified in different algorithms (chaotic map, application of the map and structure of algorithm). The initial and perhaps most crucial point was the chaotic map applied in the design of the algorithms. The speed of the cryptosystem is always an important parameter in the evaluation of the efficiency of a cryptography algorithm, therefore, the designers were initially interested in using simple chaotic maps such as tent map, and the logistic map. However, in 2006 and 2007, the new image encryption algorithms based on more sophisticated chaotic maps proved that application of chaotic map with higher dimension could improve the quality and security of the cryptosystems.
22:
114:
One of the most important issues for any cryptographic primitive is the security of the system. However, in numerous cases, chaos-based cryptography algorithms are proved insecure. The main issue in many of the cryptanalyzed algorithms is the inadequacy of the chaotic maps implemented in the system.
110:
share unique characteristics that allow for the chaotic systems to be applied to cryptography. If chaotic parameters, as well as cryptographic keys, can be mapped symmetrically or mapped to produce acceptable and functional outputs, it will make it next to impossible for an adversary to find the
147:
Bourbakis and
Alexopoulos in 1991 proposed supposedly the earliest fully intended digital image encryption scheme which was based on SCAN language. Later on, with the emergence of chaos-based cryptography hundreds of new image encryption algorithms, all with the aim of improving the security of
111:
outputs without any knowledge of the initial values. Since chaotic maps in a real life scenario require a set of numbers that are limited, they may, in fact, have no real purpose in a cryptosystem if the chaotic behavior can be predicted.
164:
The unpredictable behavior of the chaotic maps can be used in the generation of random numbers. Some of the earliest chaos-based random number generators tried to directly generate random numbers from the logistic map.
85:
in 1989, the use of chaos in cryptography has attracted much interest. However, long-standing concerns about its security and implementation speed continue to limit its implementation.
1088:
Liu, Quan; Li, Pei-yue; Zhang, Ming-chao; Sui, Yong-xin; Yang, Huai-jiang (2015-02-01). "A novel image encryption algorithm based on chaos maps with Markov properties".
81:, the study or techniques used to privately and securely transmit information with the presence of a third-party or adversary. Since first being investigated by
99:. Cryptography refers to encrypting information for secure transmission, whereas cryptanalysis refers to decrypting and deciphering encoded encrypted messages.
1018:
Behnia, S.; Akhshani, A.; Ahadpour, S.; Mahmodi, H.; Akhavan, A. (2007-07-02). "A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps".
102:
In order to use chaos theory efficiently in cryptography, the chaotic maps are implemented such that the entropy generated by the map can produce required
295:
Akhavan, A.; Samsudin, A.; Akhshani, A. (2015-09-01). "Cryptanalysis of "an improvement over an image encryption method based on total shuffling"".
1249:
Akhavan, Amir; Mahmodi, Hadi; Akhshani, Afshin (2006-11-01). "A New Image
Encryption Algorithm Based on One-Dimensional Polynomial Chaotic Maps".
1340:
1299:
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651:
425:
1282:
Akhshani, A.; Mahmodi, H.; Akhavan, A. (2006-10-01). "A Novel Block Cipher Based on
Hierarchy of One-Dimensional Composition Chaotic Maps".
1214:
Kwok, H. S.; Tang, Wallace K. S. (2007-05-01). "A fast image encryption system based on chaotic maps with finite precision representation".
737:
Behnia, S.; Akhshani, A.; Mahmodi, H.; Akhavan, A. (2008-01-01). "A novel algorithm for image encryption based on mixture of chaotic maps".
677:
Akhavan, A.; Samsudin, A.; Akhshani, A. (2011-10-01). "A symmetric image encryption scheme based on combination of nonlinear chaotic maps".
566:
Arroyo, David; Alvarez, Gonzalo; Fernandez, Veronica (2008-05-28). "On the inadequacy of the logistic map for cryptographic applications".
513:
Solak, Ercan; Γokal, Cahit; Yildiz, Olcay Taner; BiyikoΔlu, TΓΌrker (2010-05-01). "Cryptanalysis of fridrich's chaotic image encryption".
247:
Xie, Eric Yong; Li, Chengqing; Yu, Simin; LΓΌ, Jinhu (2017-03-01). "On the cryptanalysis of
Fridrich's chaotic image encryption scheme".
922:
Behnia, Sohrab; Akhshani, Afshin; Mahmodi, Hadi; Akhavan, Amir (2008-01-01). "Chaotic cryptographic scheme based on composition maps".
721:
212:
Chen, Yong; Liao, Xiaofeng (2005-07-25). "Cryptanalysis on a modified
Baptista-type cryptosystem with chaotic masking algorithm".
130:
Asymmetric chaos cryptography, where one key of the cryptosystem is public. Some of the few proposed systems have been broken.
330:
Akhavan, A.; Samsudin, A.; Akhshani, A. (2017-10-01). "Cryptanalysis of an image encryption algorithm based on DNA encoding".
1126:
Behnia, S.; Akhshani, A.; Akhavan, A.; Mahmodi, H. (2009-04-15). "Applications of tripled chaotic maps in cryptography".
82:
134:
The majority of chaos-based cryptographic algorithms are symmetric. Many use discrete chaotic maps in their process.
772:
Kocarev, Ljupco; Sterjev, Marjan; Fekete, Attila; Vattay, Gabor (2004-11-15). "Public-key encryption with chaos".
452:
Alvarez, Gonzalo; Li, Shujun (2006-08-01). "Some basic cryptographic requirements for chaos-based cryptosystems".
1179:
Kanso, A.; Ghebleh, M. (2015-07-01). "An efficient and robust image encryption scheme for medical applications".
823:
Kocarev, L.; Makraduli, J.; Amato, P. (2005-10-01). "Public-Key
Encryption Based on Chebyshev Polynomials".
107:
103:
587:
Li, C. (January 2016). "Cracking a hierarchical chaotic image encryption algorithm based on permutation".
530:
1375:
1370:
1323:
Chuanmu, Li; Lianxi, H. (2007-04-01). "A New Image
Encryption Scheme based on Hyperchaotic Sequences".
1253:. Lecture Notes in Computer Science. Vol. 4263. Springer, Berlin, Heidelberg. pp. 963β971.
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Ghebleh, M.; Kanso, A. (2014-06-01). "A robust chaotic algorithm for digital image steganography".
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Li, Shujun; Zheng, Xuan (2002-01-01). "Cryptanalysis of a chaotic image encryption method".
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2002 IEEE International
Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)
197:"Supercomputer investigations of a chaotic encryption algorithm" DD Wheeler, RAJ Matthews
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Symmetric chaos cryptography, where the same secret key is used by sender and receiver.
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2007 International
Workshop on Anti-Counterfeiting, Security and Identification (ASID)
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Bourbakis, N.; Alexopoulos, C. (1992). "Picture data encryption using scan patterns".
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182:"On the derivation of a βchaoticβ encryption algorithm." Matthews, R.A.J.
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868:"Security of public-key cryptosystems based on Chebyshev polynomials"
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Bergamo, P.; D'Arco, P.; De Santis, A.; Kocarev, L. (July 2005).
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Chaos-based cryptography has been divided into two major groups:
15:
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Communications in
Nonlinear Science and Numerical Simulation
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Communications in Nonlinear Science and Numerical Simulation
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Communications in Nonlinear Science and Numerical Simulation
774:
Chaos: An Interdisciplinary Journal of Nonlinear Science
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Chaotic cryptology consists of two opposite processes:
46:
36:
368:Baptista, M.S. (1998). "Cryptography with chaos".
1284:2006 International Conference on Image Processing
708:. Springer Berlin Heidelberg. pp. 231β265.
363:
361:
1251:Computer and Information Sciences β ISCIS 2006
924:International Journal of Bifurcation and Chaos
515:International Journal of Bifurcation and Chaos
454:International Journal of Bifurcation and Chaos
156:Chaotic behavior can generate hash functions.
412:. Vol. 2. pp. IIβ708βIIβ711 vol.2.
8:
872:IEEE Transactions on Circuits and Systems I
704:Mao, Yaobin; Chen, Guanrong (2005-01-01).
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106:. Properties in chaotic systems and
73:is the application of mathematical
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352:10.1016/j.optlastec.2017.04.022
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1128:Chaos, Solitons & Fractals
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1:
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332:Optics & Laser Technology
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317:10.1016/j.optcom.2015.03.079
271:10.1016/j.sigpro.2016.10.002
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635:Chaos-Based Cryptography
186:13, no. 1 (1989): 29-42.
160:Random number generation
108:cryptographic primitives
714:10.1007/3-540-28247-5_8
104:Confusion and diffusion
35:, as no other articles
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297:Optics Communications
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309:2015OptCo.350...77A
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77:to the practice of
71:Chaotic cryptology
54:for suggestions.
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199:Cryptologia
184:Cryptologia
1365:Categories
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659:29 October
602:1505.00335
262:1609.05352
169:References
50:; try the
37:link to it
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