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.",

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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

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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

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