Skip to main content

Parallelization of Block Encryption Algorithm Based on Piecewise Nonlinear Map

  • Chapter
  • First Online:
Soft Computing in Computer and Information Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 342))

Abstract

In this paper, the results of parallelizing chaotic block encryption algorithm based on a piecewise nonlinear map are presented. A data dependence analysis of loops was applied in order to parallelize this algorithm. An OpenMP standard is used for presenting the parallelism of the algorithm. The efficiency measurement for a parallel program is shown.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /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
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • 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

Similar content being viewed by others

References

  1. Habutsu, T., Nishio, Y., Sasase, I., Mori, S.: A secret key cryptosystem using a chaotic map. IEICE Trans. Jpn. E73(7), l041–1044 (1990)

    Google Scholar 

  2. Kocarev, L., Jakimoski, G.: Logistic map as a block encryption algorithm. Phys. Lett. A 289(4–5), 199–206 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Yi, X., Tan, C.H., Siew, C.K.: A new block cipher based on chaotic tent maps. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 49(12), 1826–1829 (2002)

    Article  MathSciNet  Google Scholar 

  4. Lian, S., Sun, J., Wang, Z.: A block cipher based on a suitable use of the chaotic standard map. Chaos, Solitons and Fractals 26(1), 117–129 (2005)

    Article  MATH  Google Scholar 

  5. Lian, S., Chen, X.: Traceable content protection based on chaos and neural networks. Appl. Soft Comput. 11(7), 4293–4301 (2011)

    Article  Google Scholar 

  6. Pejaś, J., Skrobek, A.: Chaos-based information security. In: Stavroulakis, P., Stamp, M. (eds.) Handbook of Information and Communication Security, pp. 91–128. Springer, Berlin (2010)

    Google Scholar 

  7. Bielecki, W., Burak, D.: Exploiting loop-level parallelism in the AES algorithm. WSEAS Trans. Comput. 5(1), 125–133 (2006)

    Google Scholar 

  8. Bielecki, W., Burak, D.: Lecture notes in computer science. Parallelization of the IDEA Algorithm, pp. 635–638. Springer, Berlin (2004)

    Google Scholar 

  9. Burak, D., Chudzik, M.: Parallelization of the discrete chaotic block encryption algorithm. In: Wyrzykowski, R. (ed.) PPAM 2011, Part II, LNCS 7204, pp. 323–332. Springer, Berlin (2012)

    Google Scholar 

  10. Burak, D.: Parallelization of encryption algorithm based on chaos system and neural networks. In: Wyrzykowski, R. (ed.) PPAM 2013, Part II, LNCS 8385, pp. 364–373. Springer, Berlin (2014)

    Google Scholar 

  11. Wei, P., Liao, X., Steinke, T., Zhang, W., Yang, H.: A chaotic block encryption scheme based on piecewise nonlinear map. Wuhan University J. Nat. Sci. 11(6), 1521–1524 (2006)

    Article  MATH  Google Scholar 

  12. Tao, S., Ruli, W., Yixun, Y.: Generating binary bernoulli sequences based on a class of even-symmetric chaotic maps. IEEE Trans. Commun. 49(8), 620–623 (2001)

    MATH  Google Scholar 

  13. Kelly, W., Maslov, V., Pugh, W., Rosser, E., Shpeisman, T., Wonnacott, D.: new user interface for petit and other extensions. User guide, (1996)

    Google Scholar 

  14. The Omega Project: Frameworks and algorithms for the analysis and transformation of scientific programs, http://www.cs.umd.edu/projects/omega/

  15. OpenMP application program interface version 3.1, (July 2011)

    Google Scholar 

  16. An API for multi-platform shared-memory parallel programming in C/C++ and Fortran, http://www.openmp.org/

  17. Allen, R., Kennedy, K.: Optimizing compilers for modern architectures: a dependencebased approach. Morgan Kaufmann Publishers Inc. (2001)

    Google Scholar 

  18. Aho, A., Lam, M., Sethi, R., Ullman, J.: Compilers: Principles, Techniques, and Tools, 2nd edn. Prentice Hall (2006)

    Google Scholar 

  19. Schneier, B.: Applied Cryptography: Protocols, Algorithms, and Source Code in C., 2nd edn. Wiley, New York (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dariusz Burak .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Burak, D. (2015). Parallelization of Block Encryption Algorithm Based on Piecewise Nonlinear Map. In: Wiliński, A., Fray, I., Pejaś, J. (eds) Soft Computing in Computer and Information Science. Advances in Intelligent Systems and Computing, vol 342. Springer, Cham. https://doi.org/10.1007/978-3-319-15147-2_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-15147-2_21

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15146-5

  • Online ISBN: 978-3-319-15147-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics