Skip to main content
Top
Published in: Annals of Telecommunications 3-4/2013

01-04-2013

Unifying running-key approach and logistic map to generate enciphering sequences

Authors: Adriana Vlad, Azeem Ilyas, Adrian Luca

Published in: Annals of Telecommunications | Issue 3-4/2013

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The paper presents a new approach to generating enciphering sequences useful in information protection, with an illustration on images. The procedure is both theoretically and experimentally supported by combining elements derived from the running-key cipher, information theory and statistics. The enciphering key generator is based on the logistic map, and its theoretical properties are demonstrated by statistical tests. The new enciphering sequences comply with the fair coin model, and the randomly chosen initial conditions of the logistic map (defining the enciphering sequence) can be part of the secret key. Although dealing with a particular case of chaotic system, the paper contains the necessary elements so that the overall procedure can be applied to other chaotic maps (e.g., tent map).

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Pareek NK, Patidar V, Sud KK (2006) Image encryption using chaotic logistic map. Image Vision Comput 24(9):926–934CrossRef Pareek NK, Patidar V, Sud KK (2006) Image encryption using chaotic logistic map. Image Vision Comput 24(9):926–934CrossRef
2.
3.
go back to reference Shujun Li (2006) Analyses and new designs of digital chaotic ciphers. Ph. D. thesis, Xi’an Jiaotong University, China Shujun Li (2006) Analyses and new designs of digital chaotic ciphers. Ph. D. thesis, Xi’an Jiaotong University, China
4.
go back to reference Li S, Mou X, Cai Y (2001) Pseudo-random bit generator based on couple chaotic systems and its application in stream-ciphers cryptography. Lecture notes in computer science. Prog Cryptol–INDOCRYPT 2247:316–329MathSciNet Li S, Mou X, Cai Y (2001) Pseudo-random bit generator based on couple chaotic systems and its application in stream-ciphers cryptography. Lecture notes in computer science. Prog Cryptol–INDOCRYPT 2247:316–329MathSciNet
5.
go back to reference Patidar V, Sud KK, Pareek NK (2009) A pseudo random bit generator based on chaotic logistic map and its statistical testing. Informatica 33:441–452MathSciNetMATH Patidar V, Sud KK, Pareek NK (2009) A pseudo random bit generator based on chaotic logistic map and its statistical testing. Informatica 33:441–452MathSciNetMATH
7.
go back to reference Kanso A, Smaoui N (2009) Logistic chaotic maps for binary numbers generators. Chaos, Solitons & Fractals 40(5):2557–2568MathSciNetCrossRef Kanso A, Smaoui N (2009) Logistic chaotic maps for binary numbers generators. Chaos, Solitons & Fractals 40(5):2557–2568MathSciNetCrossRef
8.
go back to reference Patidar V, Sud SK (2009) A novel pseudo random bit generator based on chaotic standard map and its testing. Electron J Theor Phys 6(20):327–344 Patidar V, Sud SK (2009) A novel pseudo random bit generator based on chaotic standard map and its testing. Electron J Theor Phys 6(20):327–344
9.
go back to reference Luca A, Ilyas A, Vlad A (2011) Generating random binary sequences using tent map. Proc. IEEE Intl. Symposium on Signals, Circuits and Systems (ISSCS 2011), Iaşi, Romania, pp. 81–84 (July) Luca A, Ilyas A, Vlad A (2011) Generating random binary sequences using tent map. Proc. IEEE Intl. Symposium on Signals, Circuits and Systems (ISSCS 2011), Iaşi, Romania, pp. 81–84 (July)
10.
go back to reference Diffie W, Hellman M (1979) Privacy and authentication: an introduction in cryptography. Proc IEEE 67(3):397–426CrossRef Diffie W, Hellman M (1979) Privacy and authentication: an introduction in cryptography. Proc IEEE 67(3):397–426CrossRef
11.
go back to reference Badea B, Vlad A (2006) Revealing statistical independence of two experimental data sets. An improvement on Spearman’s algorithm. ICCSA 3980:1166–1176, Lecture notes in computer science Badea B, Vlad A (2006) Revealing statistical independence of two experimental data sets. An improvement on Spearman’s algorithm. ICCSA 3980:1166–1176, Lecture notes in computer science
12.
go back to reference Vlad A, Luca A, Frunzete M (2009) Computational measurements of the transient time and of the sampling distance that enables statistical independence in the logistic map. ICCSA 5593:703–718, Lecture notes in computer science Vlad A, Luca A, Frunzete M (2009) Computational measurements of the transient time and of the sampling distance that enables statistical independence in the logistic map. ICCSA 5593:703–718, Lecture notes in computer science
13.
go back to reference Luca A, Vlad A, Badea B, Frunzete M (2009) A study on statistical independence in the tent map. Proc. IEEE Intl. Symposium on Signals, Circuits and Systems (ISSCS 2009), Iaşi, Romania, pp. 481–484 (July) Luca A, Vlad A, Badea B, Frunzete M (2009) A study on statistical independence in the tent map. Proc. IEEE Intl. Symposium on Signals, Circuits and Systems (ISSCS 2009), Iaşi, Romania, pp. 481–484 (July)
14.
go back to reference Serbanescu A, Rincu CI (2008) Systems et Signaux Face au Chaos: Applications aux Communications (in French). Académie Technique Militaire, Bucharest Serbanescu A, Rincu CI (2008) Systems et Signaux Face au Chaos: Applications aux Communications (in French). Académie Technique Militaire, Bucharest
15.
go back to reference Lasota A, Mackey MC (1994) Chaos, fractals, and noise. Stochastic aspects of dynamics. Springer, New YorkMATH Lasota A, Mackey MC (1994) Chaos, fractals, and noise. Stochastic aspects of dynamics. Springer, New YorkMATH
16.
go back to reference Luca A, Vlad A (2005) Generating identically and independently distributed samples starting from chaotic signals. Proc. Intl. Symposium on Signal, Circuits and Systems (ISSCS 2005), Iasi, Romania, pp. 227–230 (July) Luca A, Vlad A (2005) Generating identically and independently distributed samples starting from chaotic signals. Proc. Intl. Symposium on Signal, Circuits and Systems (ISSCS 2005), Iasi, Romania, pp. 227–230 (July)
17.
go back to reference Arroyo D (2009) Framework for the analysis and design of encryption strategies based on discrete-time chaotic dynamical systems. Ph.D. thesis, Universidad Politécnica de Madrid, Escuela Técnica Superior de Ingenieros Agrónomos, Spain Arroyo D (2009) Framework for the analysis and design of encryption strategies based on discrete-time chaotic dynamical systems. Ph.D. thesis, Universidad Politécnica de Madrid, Escuela Técnica Superior de Ingenieros Agrónomos, Spain
18.
go back to reference Shannon CE (1951) Prediction and entropy of printed English. Bell Syst Tech J 30:50–64MATH Shannon CE (1951) Prediction and entropy of printed English. Bell Syst Tech J 30:50–64MATH
20.
go back to reference Walpole RE, Myers RH (1989) Probability and statistics for engineers and scientists, 4th edn. MacMillan, NY Walpole RE, Myers RH (1989) Probability and statistics for engineers and scientists, 4th edn. MacMillan, NY
Metadata
Title
Unifying running-key approach and logistic map to generate enciphering sequences
Authors
Adriana Vlad
Azeem Ilyas
Adrian Luca
Publication date
01-04-2013
Publisher
Springer-Verlag
Published in
Annals of Telecommunications / Issue 3-4/2013
Print ISSN: 0003-4347
Electronic ISSN: 1958-9395
DOI
https://doi.org/10.1007/s12243-012-0317-8

Other articles of this Issue 3-4/2013

Annals of Telecommunications 3-4/2013 Go to the issue

Premium Partner