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Two-dimensional DFA scaling analysis applied to encrypted images

Author

Listed:
  • C. Vargas-Olmos

    (Facultad de Ciencias, Universidad Autónoma de San Luis Potosí (UASLP), Instituto de Investigación en Comunicación Óptica, Álvaro Obregón 64, 78000 San Luis Potosí, S.L.P., México)

  • J. S. Murguía

    (Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, S.L.P., México)

  • M. T. Ramírez-Torres

    (Instituto de Investigación en Comunicación Óptica, UASLP, Álvaro Obregón 64, 78000 San Luis Potosí, S.L.P., México)

  • M. Mejía Carlos

    (Instituto de Investigación en Comunicación Óptica, UASLP, Álvaro Obregón 64, 78000 San Luis Potosí, S.L.P., México)

  • H. C. Rosu

    (IPICyT, Instituto Potosino de Investigacion Cientifica y Tecnologica, Apartado Postal 3-74 Tangamanga, 78231 San Luis Potosí, México)

  • H. González-Aguilar

    (Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, S.L.P., México)

Abstract

The technique of detrended fluctuation analysis (DFA) has been widely used to unveil scaling properties of many different signals. In this paper, we determine scaling properties in the encrypted images by means of a two-dimensional DFA approach. To carry out the image encryption, we use an enhanced cryptosystem based on a rule-90 cellular automaton and we compare the results obtained with its unmodified version and the encryption system AES. The numerical results show that the encrypted images present a persistent behavior which is close to that of the1/f-noise. These results point to the possibility that the DFA scaling exponent can be used to measure the quality of the encrypted image content.

Suggested Citation

  • C. Vargas-Olmos & J. S. Murguía & M. T. Ramírez-Torres & M. Mejía Carlos & H. C. Rosu & H. González-Aguilar, 2015. "Two-dimensional DFA scaling analysis applied to encrypted images," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(08), pages 1-12.
  • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:08:n:s012918311550093x
    DOI: 10.1142/S012918311550093X
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    Cited by:

    1. Zunino, Luciano & Ribeiro, Haroldo V., 2016. "Discriminating image textures with the multiscale two-dimensional complexity-entropy causality plane," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 679-688.

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