Explicit constructions of bent functions from pseudo-planar functions

Kanat Abdukhalikov; Sihem Mesnager

doi:10.3934/amc.2017021

Explicit constructions of bent functions from pseudo-planar functions

Kanat Abdukhalikov, Sihem Mesnager

Department of Mathematical Sciences

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

2 Citations (Scopus)

Abstract

We investigate explicit constructions of bent functions which are linear on elements of spreads. Our constructions are obtained from symplectic presemifields which are associated to pseudo-planar functions.

Original language	English
Pages (from-to)	293-299
Number of pages	7
Journal	Advances in Mathematics of Communications
Volume	11
Issue number	2
DOIs	https://doi.org/10.3934/amc.2017021
Publication status	Published - May 2017

Keywords

Bent functions
Presemifields
Pseudo-planar functions
Spreads

ASJC Scopus subject areas

Algebra and Number Theory
Computer Networks and Communications
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/amc.2017021

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title = "Explicit constructions of bent functions from pseudo-planar functions",

abstract = "We investigate explicit constructions of bent functions which are linear on elements of spreads. Our constructions are obtained from symplectic presemifields which are associated to pseudo-planar functions.",

keywords = "Bent functions, Presemifields, Pseudo-planar functions, Spreads",

author = "Kanat Abdukhalikov and Sihem Mesnager",

note = "Funding Information: The first author was supported by UAEU grant 31S107. Publisher Copyright: {\textcopyright} 2017 AIMS.",

year = "2017",

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KW - Pseudo-planar functions

KW - Spreads

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JO - Advances in Mathematics of Communications

JF - Advances in Mathematics of Communications

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Explicit constructions of bent functions from pseudo-planar functions

Abstract

Keywords

ASJC Scopus subject areas

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