[Resource Topic] 2010/362: Construction of Balanced Boolean Functions with High Nonlinearity and Good Autocorrelation Properties

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Title:
Construction of Balanced Boolean Functions with High Nonlinearity and Good Autocorrelation Properties

Authors: Deng Tang, Weiguo Zhang, Xiaohu Tang

Abstract:

Boolean functions with high nonlinearity and good autocorrelation properties play an important role in the design of block ciphers and stream ciphers. In this paper, we give a method to construct balanced Boolean functions on n variables, where n\ge 10 is an even integer, satisfying strict avalanche criterion (SAC). Compared with the known balanced Boolean functions with SAC property, the constructed functions possess the highest nonlinearity and the best global avalanche characteristics (GAC) property.

ePrint: https://eprint.iacr.org/2010/362

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