The Confusion-diffusion Image Encryption Algorithm with Dynamical Compound Chaos
-
2659
Downloads
-
4006
Views
Authors
J. Vahidi
- Department of Applied Mathematics, Iran University of Science and Technology, Behshahr, Iran.
M. Gorji
- Department Of Computer Engineering Software, Science and Research Branch, Islamic Azad University, Mazandaran, Iran.
Abstract
Chaos may be degenerated due to finit precision effects, Therefore, in this study, a new compound two-dimensional chaotic function consists of two one-dimensional chaotic functions which are randomly created. A new chaotic sequences generator is designed by LFSR and the compound chaotic functions, which can generate very large key space. Image encryption algorithm is proposed based on diffusion and confusion by mapping 3D baker and dynamic combination chaos functions.
Share and Cite
ISRP Style
J. Vahidi, M. Gorji, The Confusion-diffusion Image Encryption Algorithm with Dynamical Compound Chaos, Journal of Mathematics and Computer Science, 9 (2014), no. 4, 451 - 457
AMA Style
Vahidi J., Gorji M., The Confusion-diffusion Image Encryption Algorithm with Dynamical Compound Chaos. J Math Comput SCI-JM. (2014); 9(4):451 - 457
Chicago/Turabian Style
Vahidi, J., Gorji, M.. "The Confusion-diffusion Image Encryption Algorithm with Dynamical Compound Chaos." Journal of Mathematics and Computer Science, 9, no. 4 (2014): 451 - 457
Keywords
- Image encryption
- Dynamical Compound chaos
- Diffusion
- confusion
- preinvex function
- LFSR
MSC
References
-
[1]
F. Xiang, S. Qiu, Analysis on stability of binary chaotic pseudorandom, IEEE Communications Letters, 12 (5) (2008), 337–339.
-
[2]
G. Chen, Y. Mao, C. Chui, A symmetric image encryption scheme based on 3D chaotic cat maps, Chaos, Solutions & Fractals , 12 (2004), 749-761.
-
[3]
M. A. Fadhil Al-Husainy, A novel encryption method for image security, International Journal of Security and Its Applications , Vol. 6, No. 1 (2012)
-
[4]
J. Fridrich, Symmetric ciphers based on two dimensional chaotic maps, International Journal of Bifurcate Chaos, 8(6) (1998), 1259-1284
-
[5]
K. Lu, J. H. Sun, R. B. Ouyang, et al. , Chaotic Dynamics, Shanghai Translation Press. Shanghai, (1990), 17–51
-
[6]
Y. Mao, G. Chen, S. Lian, A novel fast image encryption scheme based on 3d chaotic baker maps, International Journal of Bifurcation and Chaos, 14 (2004), 3613-3624
-
[7]
Y. Mao, G. Chen, Chaos-based image encryption, Handbook of Computational Geometry for Pattern Recognition, Computer Vision, Neurocomputing and Robotics. New York: Springer-Verlag, in press (2003)
-
[8]
G. Makris, I. Antoniou, Cryptography with Chaos, Chaotic Modeling and Simulation (CMSIM) , 1 (2013), 169-178
-
[9]
N. K. Pareek, V. Patidar, K. K. Sud, Image encryption using chaotic logistic map, Image and Vision Computing , 24 (2006), 926–934
-
[10]
L. Pecora, T. Caroll, Synchronization in chaotic system, Physical Review Letters , 64 (8) (1990), 821-824
-
[11]
R. Matthews, on the derivation of a chaotic encryption algorithm, Cryptology, 8 (1) (1989), 29–41
-
[12]
S. G. Lian, J. Sun, Z. Wang, A block cipher based on a suitable use of chaotic standard map, Chaos, Solitons and Fractals, 26(1) (2005), 117-129
-
[13]
Xiao-jun Tong, M. G. Cui , Image encryption with compound chaotic sequence ciphershifting, Image and Vision Computing, 26 (6) (2008), 843–850
-
[14]
X. J. Tong, M. Cui, Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator, Signal Processing, 89 (2009), 480–491
-
[15]
X. J. Tong, The novel bilateral – Diffusion image encryption algorithm with dynamical compound chaos, The Journal of Systems and Software , 85 (2012), 850– 858
-
[16]
K. W. Wong, B. S. Kwok, W. S. Law, A fast image encryption scheme based on chaotic standard map, Physics Letters A, 372 (2008), 2645–2652
-
[17]
M. A. B. Younes, Image encryption using Block-Based transformation algorithm, Thesis of Doctor of philsophy, (2009)
-
[18]
H. S. Kwok, W. K. S. Tang, A fast image encryption system based on chaotic maps with Finite precision representation, Chaos, Solitons and Fractals, 32 (2007), 1518-1529
-
[19]
Z. Guan, F. Huang, W. Guan, A chaos-based image encryption algorithm, Phys. Lett. A. , 346 (2005), 153-157