A comparison of Carlet's second-order nonlinearity bounds.

Sihem Mesnager, Gavin McGrew,James Davis, Dayton Steele, Katherine Marsten

Int. J. Comput. Math.（2017）

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摘要

Carlet provides two bounds on the second-order nonlinearity of Boolean functions. We construct a family of Boolean functions where the first bound the presumed weaker bound is tight and the second bound is strictly worse than the first bound. We show that the difference between the two bounds can be made arbitrarily large.

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关键词

Nonlinearity, Boolean, functions, derivative, concatenation

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