A Novel Color Image Encryption Scheme Using Logistic Map and Quadratic Map Systems

  • Djamel Herbadji
  • Aissa Belmeguenai
  • Nadir Derouiche
  • Youcef Zennir
  • Salim Ouchtati
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11005)


In this work, we propose a color image encryption scheme based on logistic map and quadratic map systems. First, the color image is divided into three components (red (R), green (G), and blue (B)). The three components are mixed as single grayscale image, to permute the pixels positions; we have used two permutation index vectors for changing rows and columns position. Finally, the permuted grayscale image is encrypted. In order to evaluate the security of the proposed scheme, the entropy, key space analysis, key sensitivity analysis, the correlation of two adjacent pixels and differential attack were performed. The Experimental results and analyses show that the proposed scheme enable to reduce computing effort, to allow efficient and outperform many schemes given in the literature.


Color image encryption Logistic map Quadratic map 


  1. 1.
    Mokhtar, M.A., Sadek, N.M., Mohamed, A.G.: Design of image encryption algorithm based on different chaotic mapping. In: 2017 34th National Conference on Radio Science Conference (NRSC), pp. 197–204 (2017)Google Scholar
  2. 2.
    Wu, J., Liao, X., Yang, B.: Color image encryption based on chaotic systems and elliptic curve ElGamal scheme. Sig. Process. 141, 109–124 (2017)CrossRefGoogle Scholar
  3. 3.
    Pak, C., Huang, L.: A new color image encryption using combination of the 1D chaotic map. Sig. Process. 138, 129–137 (2017)CrossRefGoogle Scholar
  4. 4.
    El Abbadi, N.K., Yahya, E., Aladilee, A.: Digital RGB image encryption based on 2D cat map and shadow numbers. In: 2017 Annual Conference on New Trends in Information and Communications Technology Applications (NTICT), pp. 162–167 (2017)Google Scholar
  5. 5.
    Huang, H., Yang, S.: Colour image encryption based on logistic mapping and double random-phase encoding. IET Image Process. 11(4), 211–216 (2016)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Jeng, F.-G., Huang, W.-L., Chen, T.-H.: Cryptanalysis and improvement of two hyper-chaos-based image encryption schemes. Sig. Process. Image Commun. 34, 45–51 (2015)CrossRefGoogle Scholar
  7. 7.
    Liu, H., Kadir, A., Sun, X.: Chaos-based fast colour image encryption scheme with true random number keys from environmental noise. IET Image Process. 11(5), 324–332 (2017)CrossRefGoogle Scholar
  8. 8.
    Murugan, B., Nanjappa Gounder, A.G.: Image encryption scheme based on block-based confusion and multiple levels of diffusion. IET Comput. Vis. 10(6), 593–602 (2016)CrossRefGoogle Scholar
  9. 9.
    Wu, X., Zhu, B., Hu, Y., Ran, Y.: A novel color image encryption scheme using rectangular transform-enhanced chaotic tent maps. IEEE Access 5, 6429–6436 (2017)Google Scholar
  10. 10.
    Belmeguenai, A., Ahmida, Z., Ouchtati, S., Djemii, R.: A novel approach based on stream cipher for selective speech encryption. Int. J. Speech Technol. 20(3), 685–698 (2017)CrossRefGoogle Scholar
  11. 11.
    Yang, B., Liao, X.: A new color image encryption scheme based on logistic map over the finite field Z\(_N\). Multimed. Tools Appl. 77, 21803–21821 (2018). Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Djamel Herbadji
    • 1
  • Aissa Belmeguenai
    • 1
  • Nadir Derouiche
    • 1
  • Youcef Zennir
    • 2
  • Salim Ouchtati
    • 1
  1. 1.Laboratoire de Recherche en Electronique de SkikdaUniversité 20 Août 1955- SkikdaSkikdaAlgeria
  2. 2.Laboratoire d’Automatique de SkikdaUniversité 20 Août 1955- SkikdaSkikdaAlgeria

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