The DOI matches its Crossref record; 19 of the 20 references it cites were found in a registry or an index.
An image encryption approach based on chaotic maps
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“As shown, the average correlation coefficient of the proposed system is less than all of the other methods.”
From Chaotic Image Encryption Design Using Tompkins-Paige Algorithm (2009) · cites this paper as [9]
In the citing paper
“As shown in Table 4 our proposed method with 0.09% difference to the expected value of NPCR is improved compared to the other reported methods.”
From Chaotic Image Encryption Design Using Tompkins-Paige Algorithm (2009) · cites this paper as [9]
Citations
Cites
Linear Cryptanalysis Method for DES Cipher
Matsui, M. (1994) · Lecture Notes in Computer Science · doi:10.1007/3-540-48285-7_33 · Cited by 2,748
A symmetric image encryption scheme based on 3D chaotic cat maps
Chen, G., Mao, Y., & Chui, C. K. (2004) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2003.12.022 · Cited by 2,092
Baptista, M. S. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00086-3 · Cited by 885
Chaos and cryptography: block encryption ciphers based on chaotic maps
Jakimoski, G., & Kocarev, L. (2001) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.904880 · Cited by 680
New approach to chaotic encryption
Álvarez, E., Fernández, A., García, P., Jiménez, J., & Marcano, A. (1999) · Physics Letters A · doi:10.1016/s0375-9601(99)00747-1 · Cited by 196
A combined chaotic cryptographic and hashing scheme
Wong, K. (2003) · Physics Letters A · doi:10.1016/s0375-9601(02)01770-x · Cited by 194
Cryptanalysis of an ergodic chaotic cipher
Álvarez, G., Montoya, F., Romera, M., & Pastor, G. (2003) · Physics Letters A · doi:10.1016/s0375-9601(03)00469-9 · Cited by 180
Li, S., Mou, X., Cai, Y., Ji, Z., & Zhang, J. (2003) · Computer Physics Communications · doi:10.1016/s0010-4655(02)00875-5 · Cited by 166
Analysis of some recently proposed chaos-based encryption algorithms
Jakimoski, G., & Kocarev, L. (2001) · Physics Letters A · doi:10.1016/s0375-9601(01)00771-x · Cited by 156
Improving security of a chaotic encryption approach
Li, S., Mou, X., & Cai, Y. (2001) · Physics Letters A · doi:10.1016/s0375-9601(01)00612-0 · Cited by 137
Discrete-time chaotic encryption systems. I. Statistical design approach
Götz, M., Kelber, K., & Schwarz, W. (1997) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.633885 · Cited by 125
Information sources using chaotic dynamics
Kohda, T. (2002) · Proceedings of the IEEE · doi:10.1109/jproc.2002.1015000 · Cited by 111
Chaos-based cryptograph incorporated with S-box algebraic operation
Tang, G., Wang, S., Lü, H., & Hu, G. X. (2003) · Physics Letters A · doi:10.1016/j.physleta.2003.09.042 · Cited by 51
Performance analysis of Jakimoski–Kocarev attack on a class of chaotic cryptosystems
Li, S., Mou, X., Ji, Z., Zhang, J., & Cai, Y. (2003) · Physics Letters A · doi:10.1016/s0375-9601(02)01659-6 · Cited by 51
Generating Chaotic Secure Sequences with Desired Statistical Properties and High Security
Hong, Z., & Xieting, L. (1997) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127497000145 · Cited by 50
Chaotic and stochastic functions
González, J. A., & Pino, R. (2000) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(99)00423-9 · Cited by 32
Differential and linear probabilities of a block-encryption cipher
Jakimoski, G., & Kocarev, L. (2003) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/tcsi.2002.804549 · Cited by 24
An Image Encryption Algorithm Based on Random Key and "Quasi-Standard Map
Li, C. (2003) · Chinese Journal of Computers · Cited by 7
Cryptanalytic methods in chaotic cryptosystems
Marañón, G. Á., Montoya, F., Romera, M., & Pastor, G. (2001) · Cited by 3
Research works printed but not linked: 3
- Habutsu, 1991, A secret cryptosystem by iterating a chaotic map, Eurocrypt, 127
- Qiu, 2002, Construction and analysis of one class chaotic running key generator, J Shanghai Jiaotong Univ, 136, 344
- Li, 2003, Composite discrete chaotic dynamical systems and keyed hash functions, Chin J Comput, 26, 460
Cited by
Sorted by citations
(2011) · Cited by 904
Local Shannon entropy measure with statistical tests for image randomness
Wu, Y., Zhou, Y., Saveriades, G., Agaian, S., Noonan, J. P., & Natarajan, P. (2013) · Information Sciences · doi:10.1016/j.ins.2012.07.049 · Cited by 722
“Image randomness can be measured using a variety of methods, such as histogram analysis [6,12,16,22,28,29,35,37,40,42,54,55,57,60,63,64], global Shannon entropy measure [6,12,42,55,64,66], adjacent pixel correlations [6,12,16,35,42,57,64,66].”
MethodA chaos-based symmetric image encryption scheme using a bit-level permutation
Zhu, Z.-L., Zhang, W., Wong, K.-W., & Yu, H. (2011) · Information Sciences · doi:10.1016/j.ins.2010.11.009 · Cited by 662
A new image encryption algorithm based on hyper-chaos
Gao, T., & Chen, Z. (2008) · Physics Letters A · doi:10.1016/j.physleta.2007.07.040 · Cited by 629
A new chaotic algorithm for image encryption
Gao, H., Zhang, Y., Liang, S., & Li, D. (2006) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2005.08.110 · Cited by 512
Metadata
- Authors
- Zhang, L., Liao, X., & Wang, X.
- Affiliations
- Chongqing University (CN)
- Corresponding author
- Zhang, Linhua
- Venue
- Chaos, Solitons & Fractals
- Publisher
- Elsevier BV
- Published
- 2005-05
- Volume
- 24
- Issue
- 3
- Pages
- 759-765
- ISSN
- 0960-0779 (ISSN-L)
- OpenAlex
- W1974073264
- Cited by
- 374
- References
- 20
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 7 · 2023: 8 · 2022: 7 · 2021: 17 · 2020: 15 · 2019: 23 · 2018: 13 · 2017: 21 · 2016: 17 · 2015: 20 · 2014: 23 · 2013: 34 · 2012: 44
- FWCI
- 7.88
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chaos Solitons & Fractals (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Funders
- National Natural Science Foundation of China
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
- Physical Sciences › Computer Science › Artificial Intelligence › Computer Science and Engineering
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Steganography and Watermarking Techniques
- Keywords
- image encryption, chaotic maps, confusion and diffusion, statistical attack resistance, differential attack resistance, image security
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