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Duality between bent functions and affine functions. (English) Zbl 1234.94068
Summary: A Boolean function in an even number of variables is called bent if it is at the maximal possible Hamming distance from the class of all affine Boolean functions. We prove that there is a duality between bent functions and affine functions. Namely, we show that an affine function can be defined as a Boolean function that is at the maximal possible distance from the set of all bent functions.

MSC:
94A60 Cryptography
06E30 Boolean functions
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