Derivatives of bent functions in connection with the bent sum decomposition problem

In this paper, we investigate when a balanced function can be a derivative of a bent function. We prove that every nonconstant affine function in an even number of variables n is a derivative of ( 2 n - 1 - 1 ) ∣ B n - 2 ∣ 2 bent functions, where B n is the set of all bent functions in n variables....

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Veröffentlicht in:	Designs, codes, and cryptography codes, and cryptography, 2023-05, Vol.91 (5), p.1607-1625
1. Verfasser:	Shaporenko, Alexander
Format:	Artikel
Sprache:	eng
Schlagworte:	Boolean functions Coding and Information Theory Computer Science Cryptology Decomposition Derivatives Discrete Mathematics in Computer Science Lower bounds Mathematical analysis
Online-Zugang:	Volltext
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