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Z. Naturforsch. 69a, 207 – 214
(2014)
doi:10.5560/ZNA.2014-0023
Analyses of S-Box in Image Encryption Applications Based on Fuzzy Decision Making Criterion
1 Department of Mathematics, Sokoto State University, Nigeria
2 Department of Mathematics, Quaid-i-Azam University Islamabad Pakistan
3 National University of Computer and Emerging Sciences, Islamabad, Pakistan
Received November 7, 2013 / revised February 4, 2014 / published online May 21, 2014
Reprint requests to: I. H.; E-mail:
iqtadarqau@gmail.com
In this manuscript, we put forward a standard based on fuzzy decision making criterion to examine the current substitution boxes and study their strengths and weaknesses in order to decide their appropriateness in image encryption applications. The proposed standard utilizes the results of correlation analysis, entropy analysis, contrast analysis, homogeneity analysis, energy analysis, and mean of absolute deviation analysis. These analyses are applied to well-known substitution boxes. The outcome of these analyses are additional observed and a fuzzy soft set decision making criterion is used to decide the suitability of an S-box to image encryption applications.
Key words: Soft Set; Fuzzy Set; Fuzzy Parametrizeed Set; S-Box; Advanced Encryption Standard (AES); Affine–Power–Affine (APA); SKIPJACK; Lui J.
PACS numbers: 0.3.65.Fd; 0.3.67.Dd; 84.40.Ua