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An Image Encryption Technique Using Orthonormal Matrices and Chaotic Maps

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Proceedings of 3rd International Conference on Advanced Computing, Networking and Informatics

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 44))

Abstract

Many image encryption techniques have been designed based on block based transformation techniques or chaos based algorithms. In this paper, a two stage image encryption technique is proposed. In the first stage, a new method of generating orthonormal matrices is presented and used along with sparse matrices to generate key matrices which are used to transform the original image. Since, chaos based encryption techniques are very efficient due to sensitivity to initial conditions and system parameters, this paper makes an analytical study of some recent chaos based image encryption techniques. In the second stage, the image is encrypted using one of the studied algorithms which has an optimal balance between robustness and execution time. This transformation is very fast and the overall cryptosystem is very robust which can be observed from entropy analysis, resistance to statistical and differential attacks and large key space.

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References

  1. Khanzadi, H., Eshgi, M., Borujeni, S.E.: Image encryption using random bit sequence based on chaotic maps. Arab. J. Sci. Eng. 39, 1039–1047 (2014)

    Article  Google Scholar 

  2. Chhotaray, S.K., Chhotaray A., Rath, G.S.: Orthonormal matrices and image encryption. In: International Conference on Devices, Circuits and Communication (ICDCCOM), pp. 1–5, BIT Mesra, Ranchi, India (2014). doi:10.1109/ICDCCom.2014.7024732

  3. Cui, D., Shu, L., Chen, Y., Wu, X.: Image encryption using block-based transformation with fractional Fourier transform. In: 8th International ICST Conference on Communications and Networking, pp. 552–556 (2013)

    Google Scholar 

  4. Younes, M.A.B., Jantan, A.: Image encryption using block-based transformation algorithm. IAENG Int. J. Comput. Sci. 35, 1 (2008)

    Google Scholar 

  5. Karagodin, M.A., Osokin, A.N.: Image compression by means of Walsh transforms. In: IEEE Transactions on Modern Techniques and Technologies (MTT), pp. 173–175 (2002)

    Google Scholar 

  6. Zhou, Y., Bao, L., Chen, C.L.P.: A new 1D chaotic system for image encryption. Sig. Process. 97, 172–182 (2014)

    Article  Google Scholar 

  7. Fouda, J.S.A.E., Effa, J.Y., Sabat, S.L., Ali, M.: A fast chaotic block cipher for image encryption. Commun. Nonlinear Sci. Numer. Simul. 19, 578–588 (2014)

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. School of Computer Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha, India

    Animesh Chhotaray

  2. School of Electronics Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha, India

    Soumojit Biswas

  3. Department of Electronics and Communication Engineering, Sardar Vallabhbhai Patel Institute of Technology, Vasad, Gujarat, India

    Sukant Kumar Chhotaray

  4. Department of Electronics and Communication Engineering, C. V. Raman College of Engineering, Bhubaneswar, Odisha, India

    Girija Sankar Rath

Authors
  1. Animesh Chhotaray
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  2. Soumojit Biswas
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  3. Sukant Kumar Chhotaray
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  4. Girija Sankar Rath
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Corresponding author

Correspondence to Animesh Chhotaray .

Editor information

Editors and Affiliations

  1. Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  2. Department of Computer Science and Engineering, National Institute of Technology Rourkela, Rourkela, India

    Durga Prasad Mohapatra

  3. Computer Science & Engineering, University of Calcutta, Kolkata, West Bengal, India

    Nabendu Chaki

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© 2016 Springer India

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Chhotaray, A., Biswas, S., Chhotaray, S.K., Rath, G.S. (2016). An Image Encryption Technique Using Orthonormal Matrices and Chaotic Maps. In: Nagar, A., Mohapatra, D., Chaki, N. (eds) Proceedings of 3rd International Conference on Advanced Computing, Networking and Informatics. Smart Innovation, Systems and Technologies, vol 44. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2529-4_37

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  • DOI: https://doi.org/10.1007/978-81-322-2529-4_37

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2528-7

  • Online ISBN: 978-81-322-2529-4

  • eBook Packages: EngineeringEngineering (R0)

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