The document proposes a chaotic image encryption technique using Henon chaotic systems. It consists of two main steps: 1) Image fusion between the original image and a key image. 2) Encrypting the pixel values of the fused image using a Henon chaotic map. The technique aims to provide high security with less computational time compared to traditional encryption methods. Experimental results show the algorithm is sensitive to keys and resistant to brute force attacks. The technique can be used for applications like secure internet image transmission.
3. Abstract
๏ In this paper, we will provide an overview of the mechanisms used in image
protection, especially Chaos-based encryption techniques available today. We will
see how previously proposed methods such as Data Encryption Standard (DES),
Triple Data Encryption Standard (Triple-DES), and International Data Encryption
Algorithm (IDEA) have been applied in image protection domain and how new
concepts of Chaos-based encryption techniques are superior to traditional methods.
๏ The chaotic system is rich in significance and in implication because of sensitivity
to change initial conditions, control parameters, ergodicity, random-like behaviour,
repeated processing and very high diffusion and confusion properties that are
desirable for cryptography.
4. Introduction
๏ Advances in space science, data analysis, and communication
technologies present new opportunities for users
๏ The chaotic system was a new innovation because it can change
๏To increase productivity
๏Reduce costs
๏Facilitate innovation and
๏Create virtual collaborative environments for addressing the new challenges.
๏Initial conditions
๏Control parameters
๏ Ergodicity, and
๏Very high diffusion and
๏Confusion properties that are desirable for Cryptography.
5. Objective
๏ The main Objective was to provide a Image encryption mechanism which
provides high security level, less computational time and power in reliable
and efficient way to deal with balky, difficult and intractable data.
6. Modules
๏ Administrative
o Maintains the user accountability
o Controls the user activities
๏ Encryption Module
o Selects the image
o Providing key for Encryption
๏ Decryption Module
o Enter the key for Decryption
๏File Transfer Module
Which transfer file in Networking
7. Requirements
Hardware Requirements โ
Processer : Pentium IV 2.0 GHz and above
Hard Disk : 10 GB
RAM : 256 MB
Software Requirements -
Operating System : Windows
IDE : My Eclipse
Frontend : J2EE
Coding Language : Java
Backend : My SQL
Other Technology : Tomcat Server
8. Existing System
๏ There are traditional image encryption techniques like DES, Triple-DES and
IDEA.
๏Limitations
โข requires large data size
โข long computational time
โข high computing power.
โข not suitable for practical image encryption and for online
communications
9. Proposed System
๏ The conventional cryptographic algorithms are mainly based on discrete
mathematics.
๏ chaos-based cryptography is relied on the complex dynamics of nonlinear
systems .
๏ถThe image encryption algorithm includes two steps:
๏ Firstly, the image fusion is completed between the original-image and the
key-image.
๏ Then the pixel values of the fusion image are encrypted by Henon chaotic
system.
10. Image fusion
๏ Graphics fusion technique can be used in image fusion. According to
the image pixel, image fusion can be completed between the same size
images. Image fusion is described as following:
E(i, j)=w ร(K(i, j)-O(i, j))+O(i, j)
Where w is parameter, K(i, j) is the pixel values of the key-image ,O(i, j)
is the pixel values of the original-image, and E(i, j) is the pixel values of
the fusion-image.
11. Encryption by Henon chaotic Algorithm
๏ In our scheme, Henon chaotic system is adopted to encrypt the fusion-
image.
๏ถ Step1: The Henon chaotic system is converted into one-dimensional chaotic
map which is defined as:
Xi+2=1-aX2i+1+bxi
Where a = 0.3 , bโ[1.07,1.4] .The parameter a , the parameter b , initial
value x0 and initial value x1 may represent the key.
๏ถ Step2: Set encryption key for the fusion-image, including structural parameters
a , b and initial values x0 ,x1 . After image fusion, we adopt Henon chaotic map
to change the pixel values of the fusion-image.
14. Security Analysis
๏A good encryption scheme should be sensitive to the secret keys, and the
key space should be large enough to make brute-force attacks infeasible.
๏In our encryption algorithm, the key-image and the initial values of Henon
chaotic map are used as secret keys.
๏The key space is large enough to resist all kinds of brute-force attacks. The
experimental results also demonstrate that our scheme is very sensitive to the
secret key mismatch.
27. Applicability
This encryption scheme is suitable for applications like
๏Internet image encryption
๏secure transmission of confidential information in the
Internet.
28. Conclusion
๏ The proposed algorithm has three merits:
The proposed algorithm has three merits:
o The algorithm has a large enough key space to resist all kinds of
brute force attack.
o The cipher-image has a good statistical property
o The encryption algorithm is very sensitive to the secret keys.
o provides high security level
o less computational time
o Both reliable and efficient way to deal with balky, difficult and
intractable data
๏ The only disadvantage is that the application should be at both the
sender and receiver in network system.
29. References
๏ Xiao D, Liao X, Wong K, An efficient entire chaosbased scheme
for deniable authentication, Chaos, Solitons & Fractals
23(2005):1327โ1331.
๏ Tang G, Liao X, Chen Y, A novel method for designing S-boxes
based on chaotic maps, Chaos, Solitons & Fractals 23(2005):413โ
419.
๏ www.ieee.org