NIHO BENT FUNCTIONS AND OVALS IN SMALL DIMENSIONS

Kanat Abdukhalikov; Rasha M. Shat

doi:10.56947/gjom.v16i2.1870

NIHO BENT FUNCTIONS AND OVALS IN SMALL DIMENSIONS

Kanat Abdukhalikov
, Rasha M. Shat

Department of Mathematical Sciences

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

Abstract

We consider Niho bent functions in small dimensions. They are in one-to-one correspondence with ovals in the projective plane P G(2, q), q = 2^m. Niho bent functions and ovals are listed up to equivalency for dimensions m ≤ 6. They are described by means of g-functions. We also give characterization of supports of Niho bent functions and their duals in terms of associated ovals.

Original language	English
Pages (from-to)	64-80
Number of pages	17
Journal	Gulf Journal of Mathematics
Volume	16
Issue number	2
DOIs	https://doi.org/10.56947/gjom.v16i2.1870
Publication status	Published - Apr 18 2024

Keywords

Niho bent functions
bent functions
hyperovals
ovals
polynomials

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.56947/gjom.v16i2.1870

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N2 - We consider Niho bent functions in small dimensions. They are in one-to-one correspondence with ovals in the projective plane P G(2, q), q = 2m. Niho bent functions and ovals are listed up to equivalency for dimensions m ≤ 6. They are described by means of g-functions. We also give characterization of supports of Niho bent functions and their duals in terms of associated ovals.

AB - We consider Niho bent functions in small dimensions. They are in one-to-one correspondence with ovals in the projective plane P G(2, q), q = 2m. Niho bent functions and ovals are listed up to equivalency for dimensions m ≤ 6. They are described by means of g-functions. We also give characterization of supports of Niho bent functions and their duals in terms of associated ovals.

KW - Niho bent functions

KW - bent functions

KW - hyperovals

KW - ovals

KW - polynomials

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UR - https://www.scopus.com/pages/publications/85191873806#tab=citedBy

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JO - Gulf Journal of Mathematics

JF - Gulf Journal of Mathematics

IS - 2

ER -

NIHO BENT FUNCTIONS AND OVALS IN SMALL DIMENSIONS

Abstract

Keywords

ASJC Scopus subject areas

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