Construction of bent functions from near-bent functions

Gregor Leander; G. McGuire

doi:10.1016/j.jcta.2008.12.004

Construction of bent functions from near-bent functions

Gregor Leander
, G. McGuire

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2m - 1. in particular, we give the first ever examples of non-weakly-normal bent functions in dimensions 10 and 12, which demonstrates the significance of our construction.

Original language	English
Journal	Journal of Combinatorial Theory, Series A
Volume	116
Issue number	4
Pages (from-to)	960-970
ISSN	0097-3165
DOIs	https://doi.org/10.1016/j.jcta.2008.12.004
Publication status	Published - 2009

Keywords

Bent function
Weakly normal
Fourier transform

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title = "Construction of bent functions from near-bent functions",

abstract = "We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2m - 1. in particular, we give the first ever examples of non-weakly-normal bent functions in dimensions 10 and 12, which demonstrates the significance of our construction.",

keywords = "Bent function, Weakly normal, Fourier transform",

author = "Gregor Leander and G. McGuire",

year = "2009",

doi = "10.1016/j.jcta.2008.12.004",

language = "English",

volume = "116",

pages = "960--970",

journal = "Journal of Combinatorial Theory, Series A",

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T1 - Construction of bent functions from near-bent functions

AU - Leander, Gregor

AU - McGuire, G.

PY - 2009

Y1 - 2009

N2 - We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2m - 1. in particular, we give the first ever examples of non-weakly-normal bent functions in dimensions 10 and 12, which demonstrates the significance of our construction.

AB - We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2m - 1. in particular, we give the first ever examples of non-weakly-normal bent functions in dimensions 10 and 12, which demonstrates the significance of our construction.

KW - Bent function

KW - Weakly normal

KW - Fourier transform

U2 - 10.1016/j.jcta.2008.12.004

DO - 10.1016/j.jcta.2008.12.004

M3 - Journal article

SN - 0097-3165

VL - 116

SP - 960

EP - 970

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 4

ER -

Construction of bent functions from near-bent functions

Abstract

Keywords

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