References analysis of the Wikipedia article "Chaotic cryptology" in the English version

arxiv.org

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. Bibcode:2017SigPr.132..150X. doi:10.1016/j.sigpro.2016.10.002. S2CID 12416264.

Alvarez, Gonzalo; Li, Shujun (2006-08-01). "Some basic cryptographic requirements for chaos-based cryptosystems". International Journal of Bifurcation and Chaos. 16 (8): 2129–2151. arXiv:nlin/0311039. Bibcode:2006IJBC...16.2129A. doi:10.1142/S0218127406015970. ISSN 0218-1274. S2CID 222179832.

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. Bibcode:2016SigPr.118..203L. doi:10.1016/j.sigpro.2015.07.008. S2CID 7713295.

Bergamo, P.; D'Arco, P.; De Santis, A.; Kocarev, L. (July 2005). "Security of public-key cryptosystems based on Chebyshev polynomials". IEEE Transactions on Circuits and Systems I. 52 (7): 1382–1393. arXiv:cs/0411030. doi:10.1109/TCSI.2005.851701. S2CID 18342884. Retrieved 29 October 2021.

Behnia, Sohrab; Akhshani, Afshin; Mahmodi, Hadi; Akhavan, Amir (2008-01-01). "Chaotic cryptographic scheme based on composition maps". International Journal of Bifurcation and Chaos. 18 (1): 251–261. arXiv:nlin/0601051. Bibcode:2008IJBC...18..251B. doi:10.1142/S0218127408020288. ISSN 0218-1274. S2CID 9089024.

Behnia, S.; Akhshani, A.; Akhavan, A.; Mahmodi, H. (2009-04-15). "Applications of tripled chaotic maps in cryptography". Chaos, Solitons & Fractals. 40 (1): 505–519. arXiv:0705.2633. Bibcode:2009CSF....40..505B. doi:10.1016/j.chaos.2007.08.013. S2CID 120158218.

doi.org

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.

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.

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.

Kocarev, Ljupco; Lian, Shiguo (2011). Chaos-Based Cryptography. Springer-Verlag. doi:10.1007/978-3-642-20542-2. ISBN 978-3-642-20542-2. Retrieved 29 October 2021.

Akhavan, A.; Samsudin, A.; Akhshani, A. (2011-10-01). "A symmetric image encryption scheme based on combination of nonlinear chaotic maps". Journal of the Franklin Institute. 348 (8): 1797–1813. doi:10.1016/j.jfranklin.2011.05.001.

Mao, Yaobin; Chen, Guanrong (2005-01-01). Handbook of Geometric Computing. Springer Berlin Heidelberg. pp. 231–265. doi:10.1007/3-540-28247-5_8. ISBN 9783540205951.

Behnia, S.; Akhshani, A.; Mahmodi, H.; Akhavan, A. (2008-01-01). "A novel algorithm for image encryption based on mixture of chaotic maps". Chaos, Solitons & Fractals. 35 (2): 408–419. Bibcode:2008CSF....35..408B. doi:10.1016/j.chaos.2006.05.011.

Kocarev, Ljupco; Sterjev, Marjan; Fekete, Attila; Vattay, Gabor (2004-11-15). "Public-key encryption with chaos". Chaos: An Interdisciplinary Journal of Nonlinear Science. 14 (4): 1078–1082. Bibcode:2004Chaos..14.1078K. doi:10.1063/1.1821671. ISSN 1054-1500. PMID 15568922.

Kocarev, L.; Makraduli, J.; Amato, P. (2005-10-01). "Public-Key Encryption Based on Chebyshev Polynomials". Circuits, Systems and Signal Processing. 24 (5): 497–517. doi:10.1007/s00034-005-2403-x. ISSN 0278-081X. S2CID 123533966.

Bourbakis, N.; Alexopoulos, C. (1992). "Picture data encryption using scan patterns". Pattern Recognition. 25 (6): 567–581. Bibcode:1992PatRe..25..567B. doi:10.1016/0031-3203(92)90074-s.

Behnia, S.; Akhshani, A.; Ahadpour, S.; Mahmodi, H.; Akhavan, A. (2007-07-02). "A fast chaotic encryption scheme based on piecewise nonlinear chaotic maps". Physics Letters A. 366 (4–5): 391–396. Bibcode:2007PhLA..366..391B. doi:10.1016/j.physleta.2007.01.081.

Ghebleh, M.; Kanso, A. (2014-06-01). "A robust chaotic algorithm for digital image steganography". Communications in Nonlinear Science and Numerical Simulation. 19 (6): 1898–1907. Bibcode:2014CNSNS..19.1898G. doi:10.1016/j.cnsns.2013.10.014.

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". Communications in Nonlinear Science and Numerical Simulation. 20 (2): 506–515. Bibcode:2015CNSNS..20..506L. doi:10.1016/j.cnsns.2014.06.005.

Kanso, A.; Ghebleh, M. (2015-07-01). "An efficient and robust image encryption scheme for medical applications". Communications in Nonlinear Science and Numerical Simulation. 24 (1–3): 98–116. Bibcode:2015CNSNS..24...98K. doi:10.1016/j.cnsns.2014.12.005.

Kwok, H. S.; Tang, Wallace K. S. (2007-05-01). "A fast image encryption system based on chaotic maps with finite precision representation". Chaos, Solitons & Fractals. 32 (4): 1518–1529. Bibcode:2007CSF....32.1518K. doi:10.1016/j.chaos.2005.11.090.

Youssef, Mohammed; Gabr, Mohamed; Alexan, Wassim; Marvy, Mansour; Kamal, Karim; Hosny, Khalid; El-Damak, Dina (2024). "Enhancing Satellite Image Security Through Multiple Image Encryption Via Hyperchaos, SVD, RC5, and Dynamic S-Box Generation". IEEE Access. 12: 123921-123945. doi:10.1109/ACCESS.2024.3454512.

Akhavan, Amir; Mahmodi, Hadi; Akhshani, Afshin (2006-11-01). "A New Image Encryption Algorithm Based on One-Dimensional Polynomial Chaotic Maps". Computer and Information Sciences – ISCIS 2006. Lecture Notes in Computer Science. Vol. 4263. Springer, Berlin, Heidelberg. pp. 963–971. doi:10.1007/11902140_100. ISBN 978-3-540-47242-1.

Akhshani, A.; Mahmodi, H.; Akhavan, A. (2006-10-01). "A Novel Block Cipher Based on Hierarchy of One-Dimensional Composition Chaotic Maps". 2006 International Conference on Image Processing. pp. 1993–1996. doi:10.1109/ICIP.2006.312889. ISBN 978-1-4244-0480-3. S2CID 14013123.

Chuanmu, Li; Lianxi, H. (2007-04-01). "A New Image Encryption Scheme based on Hyperchaotic Sequences". 2007 International Workshop on Anti-Counterfeiting, Security and Identification (ASID). pp. 237–240. doi:10.1109/IWASID.2007.373734. ISBN 978-1-4244-1035-4. S2CID 16930243.

Gabr, Mohamed; Elias, Rimon; Papakostas, George; Alexan, Wassim (2023). "Image Encryption via Base-n PRNGs and Parallel Base-n S-Boxes". IEEE Access. 11: 85002-85030. Bibcode:2023IEEEA..1185002G. doi:10.1109/ACCESS.2023.3301460.

harvard.edu

ui.adsabs.harvard.edu

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.

Bourbakis, N.; Alexopoulos, C. (1992). "Picture data encryption using scan patterns". Pattern Recognition. 25 (6): 567–581. Bibcode:1992PatRe..25..567B. doi:10.1016/0031-3203(92)90074-s.

nih.gov

pubmed.ncbi.nlm.nih.gov

psu.edu

citeseerx.ist.psu.edu

semanticscholar.org

api.semanticscholar.org

worldcat.org

search.worldcat.org

Chaotic cryptology (English Wikipedia)