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On Statistical Independence in the Logistic Map: A Guide to Design New Chaotic Sequences Useful in Cryptography

  • Adriana Vlad
  • Adrian Luca
  • Bogdan Badea
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4707)

Abstract

The paper explores the possibility to generate experimental independent andidentically distributed data sets starting from the logistic map and discusses its applicability in cryptography. In order to reveal the statistical independence in the context of a chaotic signal, and to come up with firm and accurate results, the paper combines usual statistical methods with an original test procedure useful in the case of continuous random variables of unknown probability law. The overall theoretical approach may be viewed as a guide to generate independent andidentically distributed samples starting from the logistic map, and also to design chaotic sequences useful for cryptographic purposes.

Keywords

chaotic behaviour statistical independence correlation coefficient reference scatter diagram chaotic enciphering sequences natural text enciphering 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Adriana Vlad
    • 1
    • 2
  • Adrian Luca
    • 1
  • Bogdan Badea
    • 1
  1. 1.Faculty of Electronics, Telecommunications and Information Technology, Politehnica University of Bucharest, 1-3, Iuliu Maniu Bvd., Bucharest 6Romania
  2. 2.The Research Institute for Artificial Intelligence, Romanian Academy, 13, Calea 13 Septembrie, Bucharest 5Romania

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