Cryptosystem with one dimensional chaotic maps

J. A. Martínez-Ñonthe, A. Díaz-Méndez, M. Cruz-Irisson, L. Palacios-Luengas, J. L. Del-Río-Correa, R. Vázquez-Medina

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

This paper presents a 64-bits chaotic block cryptosystem, which uses as noise generator one-dimensional chaotic maps with 8 bits sub-blocks data. These chaotic maps use a control parameter that allows them to operate in the chaotic region, which guarantees that each sub-block of data is mixed with unpredictable random noise. Statistical mechanic tools such as: bifurcation diagram, Lyapunov exponent, and invariant distribution have been used to analyze and evaluate the behavior of the noise generator. The cryptosystem has been evaluated using concepts of information theory, such as: entropy, as a diffusion measure in the encryption process, and mutual information as a measure of relationship between plaintext and its respective cryptogram. The noise generator has been used on the non-balanced and dynamic network proposed by L. Kocarev. The randomness of the cryptograms has been evaluated using the NIST random tests. The proposed cryptosystem can be a component in software applications that provides security to stored or communicated information. The proposed cryptosystem has a similar behavior to the one of currently used cryptosystems and it has been designed with chaotic sequence generators, which are aperiodic by definition.

Original languageEnglish
Title of host publicationComputational Intelligence in Security for Information Systems - 4th International Conference, CISIS 2011, Held at IWANN 2011, Proceedings
Pages190-197
Number of pages8
DOIs
StatePublished - 2011
Event4th International Conference on Computational Intelligence in Security for Information Systems, CISIS 2011, Held at IWANN 2011 - Torremolinos-Malaga, Spain
Duration: 8 Jun 201110 Jun 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6694 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Conference on Computational Intelligence in Security for Information Systems, CISIS 2011, Held at IWANN 2011
Country/TerritorySpain
CityTorremolinos-Malaga
Period8/06/1110/06/11

Keywords

  • Block cryptosystem
  • Chaotic cryptosystem
  • Chaotic maps

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