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A highly nonlinear S-box based on a fractional linear transformation

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ABSTRACT

We study the structure of an S-box based on a fractional linear transformation applied on the Galois field \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$GF(2^{8})$$\end{document}GF(28). The algorithm followed is very simple and yields an S-box with a very high ability to create confusion in the data. The cryptographic strength of the new S-box is critically analyzed by studying the properties of S-box such as nonlinearity, strict avalanche, bit independence, linear approximation probability and differential approximation probability. We also apply majority logic criterion to determine the effectiveness of our proposed S-box in image encryption applications.

No MeSH data available.


Lena’s plain image and its encryption using New S-box. a Plain image. b Encrypted Image
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Fig6: Lena’s plain image and its encryption using New S-box. a Plain image. b Encrypted Image

Mentions: Histogram of the images in Fig. 6. a Plain image. b Encrypted Image


A highly nonlinear S-box based on a fractional linear transformation
Lena’s plain image and its encryption using New S-box. a Plain image. b Encrypted Image
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5037109&req=5

Fig6: Lena’s plain image and its encryption using New S-box. a Plain image. b Encrypted Image
Mentions: Histogram of the images in Fig. 6. a Plain image. b Encrypted Image

View Article: PubMed Central - PubMed

ABSTRACT

We study the structure of an S-box based on a fractional linear transformation applied on the Galois field \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$GF(2^{8})$$\end{document}GF(28). The algorithm followed is very simple and yields an S-box with a very high ability to create confusion in the data. The cryptographic strength of the new S-box is critically analyzed by studying the properties of S-box such as nonlinearity, strict avalanche, bit independence, linear approximation probability and differential approximation probability. We also apply majority logic criterion to determine the effectiveness of our proposed S-box in image encryption applications.

No MeSH data available.