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COLOR IMAGE ENCRYPTION SOLUTION BASED ON THE
CHAOTIC SYSTEM OF LOGISTIC AND HENON
Zhang Yunpeng
1*
, Sun Peng
2
, Xie Jing
1
and Huang Yunting
1
1
College of Software and Microelectronics, Northwestern Polytechnical University
P.O.Box 732, 127#, West YouYi Road, Xi’an, 710072, China
2
College of Computer, Northwestern Polytechnical University, 127#, West YouYi Road, Xi’an, 710072, China
Keywords: Cryptography, Chaotic system, Color image, Encryption.
Abstract: The security of color image has become an important network information security research field. To meet
the security requirements of color image and according to the characteristics of the image coding and
chaotic system, the paper presented a color image encryption solution based on the chaotic systems. With
the help of Logistic system, the solution generates the chaotic sequence, which is used to the parameters and
the number of iterations of Henon system. And then, encrypt the color image through multiple iterating the
Henon system. At last, we analyse and prove the solution in theory and experiment. The results show that
the encrypted image has a uniform distribution of the pixel value, has a good solution diffusion, can
effectively resist the phase space reconstruction attacks, and has a good security and reliability.
1 INTRODUCTION
At present, the conventional image encryption
solutions based on chaotic revealed many security
risks, mainly showed in the weakness of lacking of
ability to resist against the common attack methods.
In literature (Li, SJ, Zheng, X 2002, et al), the
security of image encryption solutions were
explored and analyzed. Meanwhile, showed the
weakness that some solutions are difficult to resist
the common attacks. In literature (Li, Q, Zhao, K, et
al 2007, p.45), Li Quan etc successfully deciphered a
chaotic image encryption solution by using the phase
space reconstruction method and the method of
exhaustion. To solve these problems, some scholars
made some methods resist conventional attacks
during designing image encryption solutions. For
example, Wu Xu etc proposed a method through
introducing an auxiliary key to resist the known
plaintext in the process of image encryption (Wu, X,
Chen, ED & Hu, JS* 2004, p.754), but it could do
nothing to the emerging phase space reconstruction
attacks. The solution in this paper is mainly used in
the two-dimensional chaotic system, and it applied T
generated in the encryption process as one of the
decryption keys in the decryption process. Expect
the final solution can be effective against the phase
space reconstruction attacks.
2 PROGRAMME DESCRIPTION
The chaotic systems (Logistic(Pareek, NK, Vinod, P ,
Sud, KK 2006, p.926
), Henon (Zhang, H, Wang, XF, et al
2005, p.2137
) and Arnold (Zou, JC, Tie XY 2000,
p.182
) ) this paper have used are suitable to
encryption solution, which has been recognized by
scholars in the field of Chaos.
Input: original image I (size r×r
),
encryption key (a,b,
,
0
).
Where a, b for the Arnold transformation parameters;
,
0
for the Logistic system parameters.
1. In the original image I (r×r), the gray value of
each pixel is A(x,y). Make the image into a
linear character array, for
A(x,y)= A
(r*x+y),
that
is, the gray value of each point in turn recorded
as A
1
,A
2
,…,A
n
,n=r×r.
2. By the
,
0
x
of secret key, using logistic
system formula generates real-valued chaotic
sequence P = {p
ij
| i,j= 0,1,2,… ,N - 1 }, and
generates the integers sequence D = {d
i
| i = 0,
275
Yunpeng Z., Peng S., Jing X. and Yunting H. (2010).
COLOR IMAGE ENCRYPTION SOLUTION BASED ON THE CHAOTIC SYSTEM OF LOGISTIC AND HENON.
In Proceedings of the 5th International Conference on Software and Data Technologies, pages 275-278
DOI: 10.5220/0002923602750278
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