Analysis of Pi Series and Its Application to Image Encryption

  • Ting Chen
  • Feng Li
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 2)


Whether constant π (i.e., pi) is normal is a confusing problem without any strict theoretical demonstration except for some statistical proof. A new concept of pi series is introduced to seek for the possible quasi-chaotic characteristics of pi by the studies of the basic elements such as power spectral density, phase space construction, maximal Lyapunov exponents and correlation dimension in the field of nonlinear time series. In this paper, we propose a new image encryption algorithm with position diffusion and pixel confusion based on pi series. After this algorithm is applied to a still image, the encrypted image demonstrates strong resistance towards exterior attacks such as statistical attacks and differential attacks.


Pi Series Quasi-chaotic Characteristics Chaotic Series Image Encryption Algorithm Security Analysis 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Ting Chen
    • 1
  • Feng Li
    • 1
  1. 1.Department of Electrical Engineering, Fudan University, ShanghaiChina

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