منابع مشابه
Special bent and near-bent functions
Starting from special near-bent functions in dimension 2t − 1 we construct bent functions in dimension 2t having a specific derivative. We deduce new families of bent functions.
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It is proved that no non-quadratic Kasami bent is affine equivalent to MaioranaMacFarland type bent functions.
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A bent function is a Boolean function all of whose Fourier coefficients are equal in absolute value. These functions have been extensively studied in cryptography and play an important role in cryptanalysis and design of cryptographic systems. We study bent functions in the framework of property testing. In particular, we show that testing whether a given Boolean function on n variables is bent...
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متن کاملBent functions on a finite nonabelian group
We introduce the notion of a bent function on a finite nonabelian group which is a natural generalization of the well-known notion of bentness on a finite abelian group due to Logachev, Salnikov and Yashchenko. Using the theory of linear representations and noncommutative harmonic analysis of finite groups we obtain several properties of such functions similar to the corresponding properties of...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2008
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2007.11.001