Encrypting Digital Images Using Cellular Automata | SpringerLink
Skip to main content
Springer Nature Link
Log in

Encrypting Digital Images Using Cellular Automata

  • Conference paper
Hybrid Artificial Intelligent Systems (HAIS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7209))

Included in the following conference series:

Abstract

In this paper a novel symmetric protocol to cipher digital images is introduced. The protocol proposed consists of two iterative phases: The confusion phase and the diffusion phase. The first stage permutes the pixels in the image using a discrete chaotic map (specifically, the Cat map), whereas in the second stage, the pixel values (that is, the color of each pixel) are modified sequentially by means of a reversible memory cellular automata. The proposed protocol is shown to be secure against the more important cryptanalytic attacks.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 5719
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 7149
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Álvarez Marañón, G., Hernández Encinas, L., Martín del Rey, Á.: A New Secret Sharing Scheme for Images Based on Additive 2-Dimensional Cellular Automata. In: Marques, J.S., Pérez de la Blanca, N., Pina, P. (eds.) IbPRIA 2005. LNCS, vol. 3522, pp. 411–418. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  2. Chang, C.-C., Hwang, M.-S., Chen, T.-S.: A new encryption algorithm for image cryptosystems. J. Sist. Software 58, 83–91 (2001)

    Article  Google Scholar 

  3. Chen, G., Dong, X.: From chaos to order: methodologies, perspectives and applications. World Scientific, Singapore (1998)

    Book  MATH  Google Scholar 

  4. Fredkin, E.: Digital mechanics. An informal process based on reversible universal cellular automata. Physica D 45, 254–270 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  5. Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifucar. Chaos 8, 1259–1284 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  6. Gao, H., Zhang, Y., Liang, S., Li, D.: A new chaotic algorithm for image encryption. Chaos Soliton Frac. 29, 393–399 (2006)

    Article  MATH  Google Scholar 

  7. Guan, Z.H., Huang, F.J., Guan, W.J.: Chaos-based image encryption algorithm. Phys. Lett. A 346, 153–157 (2005)

    Article  MATH  Google Scholar 

  8. Lian, S.G., Sun, J., Wang, Z.: A block cipher based on a suitable use of chaotic standard map. Chaos Soliton Frac. 26, 117–129 (2005)

    Article  MATH  Google Scholar 

  9. Luengo, I. (ed.): Recent Trends in Cryptography. Contemporary Mathematics, vol. 477. AMS (2009)

    Google Scholar 

  10. Toffoli, T., Margolus, N.: Cellular Automata Machines: A New Environment for Modeling. The MIT Press, Cambridge (1987)

    Google Scholar 

  11. Toffoli, T., Margolus, N.: Invertible cellular automata: A review. Physica D 45, 229–253 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  12. Wolfram, S.: A New Kind of Science. Wolfram Media, Champaign (2002)

    MATH  Google Scholar 

  13. Zhang, L.H., Liao, X.F., Wang, X.B.: An image encryption approach based on chaotic maps. Chaos Soliton Frac. 24, 759–765 (2005)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, E.P.S. de Ávila, Universidad de Salamanca, C/Hornos Caleros 50, 05003, Ávila, Spain

    A. Martín del Rey

  2. Department of Applied Mathematics, E.P.S. de Zamora, Universidad de Salamanca, Avda. Cardenal Cisneros 34, 49022, Zamora, Spain

    G. Rodríguez Sánchez

  3. Department of Applied Mathematics and Computation, E.T.S.I. (ICAI) Universidad Pontificia Comillas, C/Alberto Aguilera 23, 28015, Madrid, Spain

    A. de la Villa Cuenca

Authors
  1. A. Martín del Rey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Rodríguez Sánchez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. de la Villa Cuenca
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Universidad de Salamanca, Plaza de la Merced S/N, 37008, Salamanca, Spain

    Emilio Corchado

  2. VŠB-TU Ostrava 17, Listopadu 15, 70833, Ostrava, Czech Republic

    Václav Snášel

  3. Machine Intelligence Research Labs Machine Intelligence Research Labs(MIR Labs),, Scientific Network for Innovation and Research Excellence, P.O. Box 2259, 98071, Auburn, Washington, USA

    Ajith Abraham

  4. Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370, Wroclaw, Poland

    Michał Woźniak

  5. University of the Basque Country, Pº Manuel Lardizabal 1, 20018, San Sebastian, Spain

    Manuel Graña

  6. Yonsei University, 134 Shinchon-dong, 120-749, Sudaemoon-ku, Seoul, Korea

    Sung-Bae Cho

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

del Rey, A.M., Sánchez, G.R., de la Villa Cuenca, A. (2012). Encrypting Digital Images Using Cellular Automata. In: Corchado, E., Snášel, V., Abraham, A., Woźniak, M., Graña, M., Cho, SB. (eds) Hybrid Artificial Intelligent Systems. HAIS 2012. Lecture Notes in Computer Science(), vol 7209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28931-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28931-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28930-9

  • Online ISBN: 978-3-642-28931-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation