 Open Access
 Total Downloads : 1
 Authors : Ishwar Lal Paliwal, Mahesh Kumar Porwal
 Paper ID : IJERTCONV2IS10056
 Volume & Issue : NCETECE – 2014 (Volume 2 – Issue 10)
 Published (First Online): 30072018
 ISSN (Online) : 22780181
 Publisher Name : IJERT
 License: This work is licensed under a Creative Commons Attribution 4.0 International License
Encryption Algorithm Using Advance Technique
Ishwar Lal Paliwal Mahesh Kumar Porwal
MTech Scholar (Digital Communication) Associate professor (ECE) ishwarpaliwal1339@gmail.com porwal5@yahoo.com
Shrinathji Institute of Engineering & Technology Nathdwara (Rajasthan)
Abstract The encrypted image is difficult in compare to the encryption of the text because of the high capacity. Recent methods are difficult to handle the image encryption. Recently, the use of chaotic signals for secure data transmission has shown significant growth in developing chaotic encryption algorithm.In a recent articlet he application of the BrahmaguptaBhaskara (BB) equation for encryption is reported . However, a number of chaosbased algorithms are proved to be insecure in the literature. It is also shown in the literature that the BB equation based algorithm can be broken by a low complexity known as plaintext attack. Hence, in this paper, we are using pixel shuffling and then we make a new secure cryptosystem based on the BB equation and chaos is proposed for image encryption.
Keywords:Image Pixel Shuffling, BB equation, Chaos Cryptosystem, Image encryption.

INTRODUCTION
In 21st century, due to the fast development in digital
Pixel shuffling, BB equation and chaos, a new cryptosystem is proposed for image encryption.

PIXEL SHUFFLING
In this Paper Pixel shuffling play very important role. Pixel of image is shuffling from low intensity to high intensity in every row. , first all pixels of row 1 are arranged according to their value of intensity .Then row 2,row 3,etc.At the end we get the new shuffled image.
So,the further steps of the algorithm is done with this shuffled image

USE OF BRAHMAGUPTABHASKARA EQUATION IN CRYPTOGRAPHY
x
The BrahmaguptaBhaskara equation can be written as
image processing and network communication , the
(f 2+1)p
= (y2)
p ..(1)
demand for realtime secure transmission of digital images over the networks is getting more and more importance. To meet this challenge, many encryption schemes for image encryption have been proposed. Some traditional encryption algorithms have also been proposed such as DES, Line Map etc; but these algorithms are not suitable for practical image encryption due to the intrinsic features of images such as bulk data capacity and high correlation among pixels. Among them,
The chaos based image encryption schemes show some exceptionally desirable properties in many aspects regarding speed, security, computational efficiency and practicability.
Security is the major concern while transmitting signals. So we use pixel shuffling and then we do the encryption of the image. To protect the valuable information in many applications like medical imaging, military image database, communication and confidential video conferencing, there is a need to secure the images by the use of encryption. In such a case, to avoid information leakage to both active and passive attackers, encryption of the military images is very important. By the way, most of the chaosbased algorithms are proved to be insecure. A cryptosystem based on Brahmagupta Bhaskara (BB) equation is proposed in.
The cryptosystem was proposed to improve and avoid the known plaintext attacks reported in. However, it is shown that the two cryptosystems proposed are vulnerable to known plaintext attacks. Hence, in this paper, based on the
Here , p stands for modulo operation by p on the argument values of the expressions.
For obtaining a valid quadratic residues solution of the BB,
Equation (1) can be written as
(f(x2)p)p +1 =(y2)p (2)
Equation (2) can be rewritten as
(fqx+1)p = (qy)p …(3)
where qx and qy are the quadratic residues solution of the BB equation.
To solve the BB equation, find a possible pair (x,y) so that Equation (1) is satisfied for given f and p.
Once x and y are found, then qx and qy are computed as qx=(x2)p , qy=(y2)p .(4)
Given qx and qy corresponding to any root of the BB
equation (fx2 + 1) p = (y2)p, it is always possible to compute uniquely the corresponding value of f, only with the knowledge of p, using the following relation:
f =(q x )1 (q y 1)mod( p ) …..(5)
The f corresponds to the clear text or plaintext in a block that is being encrypted and p corresponds to the primary secret key used in the encryption of the plaintext in a block.

CHAOS FUNDAMENTAL PRINCIPLE FOR CRYPTOLOGY
Sensitive dependence is one of the desired feature of the cryptographic algorithm. As, if the initial conditions that are use to encrypt any data are change even by a small amount,
one bit for instance, then the encrypted text will change widely . This is one of the fundamental principles of the chaotic functions which is given by the following equation
Xc(i+1)=Xc(i)(1Xc(i)) …….(6)
When Âµ = 3.9, the logistic map exhibits chaotic behavior, and hence the property of sensitive dependency.

THE PROPOSED ALGORITHM
The block diagram of the proposed algorithm for encryption is shown in Figure 1. In this , for a given primary key p, the root pair of
the BB equation corresponding to each pixel of the image is found. Then, according to a binary sequence generated from a chaotic system, a mod oper ation is performed on
the root pair of the BB equation corresponding to each pixel and then each root is XORed or XNORed bitby bit to one of the two predetermined keys, key1 and key2.
Let f denote an image of size M Ã— N pixels and f(i, j), 0 i M 1, 0 j N 1 be the gray level of f at position (i, j). The encryption algorithm for the proposed f cryptosystem is as follows.
ORIGINAL IMAGE
PIXEL SHUFFLING
ROOT PAIRS OF PIXELS
(BB EQUATION)
ENCRYPTION UNIT
ENCRYPTED IMAGE
Figure 1: Block diagram of the proposed Algorithm.
VI THE PROPOSED ALGORITHM FOR ENCRYPTION
The proposed algorithm for encryption is as follows. Step 1:Choose p, key1 and key2 and set l = 0.
Step 2: Choose the initial point Xc (0) and generate the chaotic sequence Xc (0), Xc (1), Xc (2), , Xc (MN/16 1) using Equation (4) and then create b (0), b (1), b (2), , b (2MN 1) from Xc (0), Xc (1), Xc (2) ,,
Xc (MN/16 1) by the generating scheme such that b(32i + 0)b(32i + 1) …………………. b(32i + 29)b(32i + 30)b(32i +
31)………… is the binary representation of Xc (i) for i = 0, 1, 2, (MN/16 1).
Step 3: For i = 0 to M 1
For j = 0 to N 1, obtain Qx(i, j) and Qy(i, j) from the solution of BB equation.
Figure 2: Original image
Figure 3: Shuffled image
Figure 4: Encrypted Qx of the Shuffled image
Figure 5: Encrypted Qy of the Shuffled image
VII. CONCLUSION
In this paper , a secure algorithm based on Brahmagupta Bhaskara equation is design for image encryption. From the result, it is concluded that the proposed algorithm is effective for secure image encryption.
REFERENCES

S Li,G Chen and X Zheng, Chaosbased encryption for digital images and videos, In: B. Furht and D. Kirovski, editors. Multimedia Security Handbook of Internet and Communications Series, Ch. 3, CRC Press, Vol. 4, 2004

J C Yen and J I Guo, A New Chaotic Key Based Design for Image Encryption and Decryption, Proc. IEEE International Symposium on Circuits and Systems, Geneva, Switzerland, vol. 4, pp. 4952, 2000.
3.T Seidel D Socek, and M Samka, Cryptanalysis of video encryption algorithms, In Proceedings of the 3rd Central European Republic, June 2628 (2003), Tatra Mt. Mathematical publications, Vol. 29, pp. 19, 2004.

G Alvarez ,L H Encinas, and J M Masque, KnownPlaintext Attack to Two Cryptosystems Based on the BB Equation, IEEE Transactions on Circuits and Systems II: Express Briefs Vol. 55, Issue 5, pp. 4236, 2008.

A M Youssef, A comment on Cryptographic applications of BrahmaguptaBhakara equation, IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 54, no. 4, pp. 9278, 2007.
6.N Rama Murthy and M N S Swamy, Authors reply, IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 54, no. 4, pp. 9289, 2007.
AUTHORS
Mr. Ishwar Lal Paliwal is presently in M.E. final year in Digital Communication branch in Shrinathji Institute of Technology & Engineering Upli Oden, Nathdwara, Rajasthan ishwarpaliwal1339@gmail.com
Mr. Mahesh K. Porwal is presently working as Associate Professor in Electronics and Communication Department in Shrinathji Institute of Technology & Engineering Upli Oden, Nathdwara, Rajasthan
Porwal5@yahoo.com