Properties of subfunctions of self-dual bent functions | Applied Discrete Mathematics. Supplement. 2022. № 15. DOI: 10.17223/2226308X/15/7

Properties of subfunctions of self-dual bent functions

Boolean functions in an even number of variables with at Walsh - Hadamard spectrum are called bent functions. For every bent function, say f, its dual bent function, denoted by e f, is uniquely de ned. If e f = f, then f is called self-dual bent, and in the case e f = f 1 it is called an anti-self-dual bent. In this paper, we study subfunctions of self-dual bent functions obtained by a xation of the rst and the rst two coordinates. We characterize subfunctions in n

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Keywords

self-dual bent function, subfunction, near-bent function, Rayleigh quotient of the Sylvester Hadamard matrix

Authors

Name	Organization	E-mail
Kutsenko Alexandr V.	Institute of Mathematics. S. L. Sobolev SB RAS; Novosibirsk State University	alexandrkutsenko@bk.ru

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