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Abstract: Due to the success of differential and linear attacks on a large number of encryption algorithms, it is important to investigate relationships among various cryptographic, including differential and linear, characteristics of an S-box (substitution box). After discussing a precise relationship among three tables, namely the difference, auto-correlation and correlation immunity distribution tables, of an S-box, we develop a number of results on various properties of S-boxes. More... (Update)
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BibTeX entry: (Update)
X. M. Zhang and Y. Zheng. Relating differential distribution tables to other properties of substitution boxes. to appear, 1998. http://citeseer.ist.psu.edu/article/zhang98relating.html More
@article{ zhang00relating,
author = "Xian-Mo Zhang and Yuliang Zheng and Hideki Imai",
title = "Relating Differential Distribution Tables to Other Properties of of Substitution Boxes",
journal = "Designs, Codes and Cryptography",
volume = "19",
number = "1",
pages = "45-63",
year = "2000",
url = "citeseer.ist.psu.edu/article/zhang98relating.html" }
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43 the construction of highly nonlinear permutations (context) - Nyberg - 1993
39 Nonlinearity and propagation characteristics of balanced boo.. - Seberry, Zhang et al. - 1995
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35 On constructions and nonlinearity of correlation immune func.. - Seberry, Zhang et al. - 1994
35 A survey of bent functions (context) - Dillon - 1972
32 Systematic generation of cryptographically robust S-boxes - Seberry, Zhang et al. - 1993
27 Generating and counting binary bent sequences (context) - Adams, Tavares - 1990
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