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Multimedia Tools and Applications

, Volume 77, Issue 16, pp 21445–21462 | Cite as

A new simple one-dimensional chaotic map and its application for image encryption

  • Lingfeng Liu
  • Suoxia Miao
Article
  • 289 Downloads

Abstract

In this paper, we propose a new simple one-dimensional chaotic map. The chaotic characteristics have been declared by using bifurcation analysis and Lyapunov exponent analysis. Furthermore, we propose a new image encryption algorithm based on this new chaotic map. Both shuffling algorithm and substitution algorithm are related to this map. Many statistical tests and security analysis indicate that this algorithm has an excellent security performance, and can be competitive with some other recently proposed image encryption algorithms.

Keywords

Chaos One-dimensional chaotic map Bifurcation Lyapunov exponent Image encryption 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (61601215).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of SoftwareNanchang UniversityNanchangPeople’s Republic of China
  2. 2.Faculty of ScienceNanchang Institute of TechnologyNanchangPeople’s Republic of China

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