Global InformationChaotic cryptology information
Chaotic cryptology is the application of mathematical chaos theory to the practice of cryptography, 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 Robert Matthews in 1989,[1] 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.[2][3][4][5][6]
Chaotic cryptology consists of two opposite processes: Chaotic cryptography and Chaotic cryptanalysis. Cryptography refers to encrypting information for secure transmission, whereas cryptanalysis refers to decrypting and deciphering encoded encrypted messages.
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 Confusion and diffusion. Properties in chaotic systems and cryptographic primitives share unique characteristics that allow for the chaotic systems to be applied to cryptography.[7] 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 outputs without any knowledge of the initial values.[citation needed] 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.
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.[5][8][9][10] The main issue in many of the cryptanalyzed algorithms is the inadequacy of the chaotic maps implemented in the system.[11][12]
- ^ "On the derivation of a “chaotic” encryption algorithm." Matthews, R.A.J. Cryptologia 13, no. 1 (1989): 29-42.
- ^ "Supercomputer investigations of a chaotic encryption algorithm" DD Wheeler, RAJ Matthews Cryptologia 15 (2), 140-152
- ^ Chen, Yong; Liao, Xiaofeng (2005-07-25). "Cryptanalysis on a modified Baptista-type cryptosystem with chaotic masking algorithm". Physics Letters A. 342 (5–6): 389–396. Bibcode:2005PhLA..342..389C. doi:10.1016/j.physleta.2005.05.048.
- ^ Xie, Eric Yong; Li, Chengqing; Yu, Simin; Lü, Jinhu (2017-03-01). "On the cryptanalysis of Fridrich's chaotic image encryption scheme". Signal Processing. 132: 150–154. arXiv:1609.05352. doi:10.1016/j.sigpro.2016.10.002. S2CID 12416264.
- ^ a b Akhavan, A.; Samsudin, A.; Akhshani, A. (2015-09-01). "Cryptanalysis of "an improvement over an image encryption method based on total shuffling"". Optics Communications. 350: 77–82. Bibcode:2015OptCo.350...77A. doi:10.1016/j.optcom.2015.03.079.
- ^ Akhavan, A.; Samsudin, A.; Akhshani, A. (2017-10-01). "Cryptanalysis of an image encryption algorithm based on DNA encoding". Optics & Laser Technology. 95: 94–99. Bibcode:2017OptLT..95...94A. doi:10.1016/j.optlastec.2017.04.022.
- ^ Baptista, M.S. (1998). "Cryptography with chaos". Physics Letters A. 240 (1–2): 50–54. Bibcode:1998PhLA..240...50B. doi:10.1016/s0375-9601(98)00086-3.
- ^ Li, Shujun; Zheng, Xuan (2002-01-01). "Cryptanalysis of a chaotic image encryption method". 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353) (PDF). Vol. 2. pp. II–708–II–711 vol.2. doi:10.1109/ISCAS.2002.1011451. ISBN 978-0-7803-7448-5. S2CID 14523625.
- ^ Cite error: The named reference
:3was invoked but never defined (see the help page). - ^ Solak, Ercan; Çokal, Cahit; Yildiz, Olcay Taner; Biyikoğlu, Türker (2010-05-01). "Cryptanalysis of fridrich's chaotic image encryption". International Journal of Bifurcation and Chaos. 20 (5): 1405–1413. Bibcode:2010IJBC...20.1405S. CiteSeerX 10.1.1.226.413. doi:10.1142/S0218127410026563. ISSN 0218-1274.
- ^ Arroyo, David; Alvarez, Gonzalo; Fernandez, Veronica (2008-05-28). "On the inadequacy of the logistic map for cryptographic applications". arXiv:0805.4355 [nlin.CD].
- ^ Li, C. (January 2016). "Cracking a hierarchical chaotic image encryption algorithm based on permutation". Signal Processing. 118: 203–210. arXiv:1505.00335. doi:10.1016/j.sigpro.2015.07.008. S2CID 7713295.