Advertisement

Grayscale Image Encryption Based on High-Dimensional Fractional Order Chua’s System

  • Tanmoy Dasgupta
  • Pritam Paral
  • Samar Bhattacharya
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 28)

Abstract

This paper proposes a new image encryption algorithm that makes the use of high dimensional fractional order Chua’s chaotic system. Fractional order extension of the Chua’s system gives a much larger key-space than its original integer order version. The proposed image encryption algorithm uses a simple but excellent technique which is quite fast and the encrypted images are found to have very high entropy. The algorithm is shown to be highly robust and almost invulnerable to statistical attacks. Moreover, the algorithm is designed in such a way that it can be extended by incorporating other chaotic systems as well.

Keywords

Chaos fractional order system image encryption 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Matthews, R.A.J.: On the derivation of a chaotic encryption algorithm. Neural Computation 12, 2519–2535 (2000)CrossRefGoogle Scholar
  2. 2.
    Sun, F., Liu, S., Li, Z., Lu, Z.: A novel image encryption scheme based on spatial chaos map. Chaos, Solitons, Fractals 38, 631–640 (2008)MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Tong, X.J., Cui, M.G.: Image encryption with compound chaotic sequence cipher shifting dynamically. Image and Vision Computing 26, 843–850 (2008)CrossRefGoogle Scholar
  4. 4.
    Gao, T.G., Chen, Z.Q.: Image encryption based on a new total shuffling algorithm. Chaos, Solitons, Fractals 38, 213–220 (2008)MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Petráš, I.: Fractional-Order Memristor-Based Chua’s Circuit. IEEE Trans. Circuits and Systems 57, 975–979 (2010)CrossRefGoogle Scholar
  6. 6.
    Valério, D., Costa, J.S.: Introduction to single-input, single-output fractional control. IET Control Theory Appl. 5, 1033–1057 (2011)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Gonzalez, R.C., Woods, R.E.: Digital Image Processing. Prentice Hall, New Jersey (2007)Google Scholar
  8. 8.
    Tavazoei, M.S., Haeri, M.: A necessary condition for double scroll attractor existence in fractional - order systems. Physics Letters A 367, 102–113 (2007)CrossRefMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Tanmoy Dasgupta
    • 1
  • Pritam Paral
    • 1
  • Samar Bhattacharya
    • 1
  1. 1.Department of Electrical EngineeringJadavpur UniversityKolkataIndia

Personalised recommendations