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Wavelet Multifractal Detrended Fluctuation Analysis Of Encryption And Decryption Matrices

Author

Listed:
  • J. S. MURGUÍA

    (Facultad de Ciencias, Universidad Autónoma de San Luis Potosí (UASLP), Álvaro Obregón No. 64 Centro, C. P. 78000 San Luis Potosí, S.L.P., México)

  • M. MEJÍA CARLOS

    (Instituto de Investigación en Comunicación Óptica, UASLP, Álvaro Obregón No. 64 Centro, C. P. 78000 San Luis Potosí, S.L.P., México)

  • C. VARGAS-OLMOS

    (Instituto de Investigación en Comunicación Óptica-Facultad de Ciencias, UASLP, Álvaro Obregón No. 64 Centro, C. P. 78000 San Luis Potosí, S.L.P., México)

  • M. T. RAMÍREZ-TORRES

    (Instituto de Investigación en Comunicación Óptica-Facultad de Ciencias, UASLP, Álvaro Obregón No. 64 Centro, C. P. 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)

Abstract

In this paper, we study in detail the multifractal features of the main matrices of an encryption system based on a rule-90 cellular automaton. For this purpose, we consider the scaling method known as the wavelet transform multifractal detrended fluctuation analysis (WT-MFDFA). In addition, we analyze the multifractal structure of the matrices of different dimensions, and find that there are minimal differences in all the examined multifractal quantities such as the multifractal support, the most frequent singularity exponent, and the generalized Hurst exponent.

Suggested Citation

  • J. S. Murguía & M. Mejía Carlos & C. Vargas-Olmos & M. T. Ramírez-Torres & H. C. Rosu, 2013. "Wavelet Multifractal Detrended Fluctuation Analysis Of Encryption And Decryption Matrices," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(09), pages 1-13.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:09:n:s0129183113500691
    DOI: 10.1142/S0129183113500691
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