Quadratic bent functions and their duals

Kanat Abdukhalikov; Rongquan Feng; Duy Ho

doi:10.1007/s00200-022-00564-5

Quadratic bent functions and their duals

Kanat Abdukhalikov, Rongquan Feng, Duy Ho

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using the zeros of the polynomial X^q+1+X+a which have been studied recently in the literature, we provide some examples of binomial quadratic bent functions on Fq₄ and Fq₆, where q is a power of 2.

Original language	English
Pages (from-to)	507-523
Number of pages	17
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	35
Issue number	4
DOIs	https://doi.org/10.1007/s00200-022-00564-5
Publication status	Published - Jul 2024

Keywords

51E15
51E20
94A60
Bent functions
Duals of bent functions
Quadratic bent functions

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1007/s00200-022-00564-5

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AB - We obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using the zeros of the polynomial Xq+1+X+a which have been studied recently in the literature, we provide some examples of binomial quadratic bent functions on Fq4 and Fq6, where q is a power of 2.

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KW - Bent functions

KW - Duals of bent functions

KW - Quadratic bent functions

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Quadratic bent functions and their duals

Abstract

Keywords

ASJC Scopus subject areas

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