Sciact
  • EN
  • RU

Duality between bent functions and affine functions Full article

Journal Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X
Output data Year: 2011, Volume: 312, Number: 3, Pages: 666-670 Pages count : 5 DOI: 10.1016/j.disc.2011.06.017
Tags Affine function; Bent function; Duality
Authors Tokareva Natalia 1
Affiliations
1 Sobolev Institute of mathematics

Abstract: 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 affine function can be defined as a Boolean function that is at the maximal possible distance from the set of all bent functions.
Cite: Tokareva N.
Duality between bent functions and affine functions
Discrete Mathematics. 2011. V.312. N3. P.666-670. DOI: 10.1016/j.disc.2011.06.017 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000299148300025
Scopus: 2-s2.0-81955161174
OpenAlex: W2024339358
Citing:
DB Citing
Scopus 16
OpenAlex 15
Web of science 11
Altmetrics: