Duality between bent functions and affine functions Full article
Journal |
Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X |
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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 |
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Affiliations |
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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
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 |