WAVELET MULTIFRACTAL DETRENDED FLUCTUATION ANALYSIS OF ENCRYPTION AND DECRYPTION MATRICES

J. S. Murguía (), M. Mejía Carlos (), C. Vargas-Olmos (), M. T. Ramírez-Torres () and H. C. Rosu ()
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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

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 09, 1-13

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.

Keywords: Cryptography; wavelet transform; multifractal spectrum; 05.40.-a; 05.45.Df; 05.45.Tp (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500691

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