A Construction of Bent Functions of n + 2 Variables from a Bent Function of n Variables and Its Cyclic Shifts

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Title: A Construction of Bent Functions of n + 2 Variables from a Bent Function of n Variables and Its Cyclic Shifts
Authors: Climent, Joan-Josep | García García, Francisco Jesús | Requena Arévalo, Verónica
Research Group/s: Grupo de Álgebra y Geometría (GAG)
Center, Department or Service: Universidad de Alicante. Departamento de Estadística e Investigación Operativa | Universidad de Alicante. Departamento de Métodos Cuantitativos y Teoría Económica
Keywords: Bent functions | Cyclic shifts
Knowledge Area: Álgebra | Fundamentos del Análisis Económico
Issue Date: 17-Apr-2014
Publisher: Hindawi Publishing Corporation
Citation: Algebra, vol. 2014, Article ID 701298, 11 pages, 2014. doi:10.1155/2014/701298
Abstract: We present a method to iteratively construct new bent functions of n + 2 variables from a bent function of n variables and its cyclic shift permutations using minterms of n variables and minterms of 2 variables. In addition, we provide the number of bent functions of n + 2 variables that we can obtain by applying the method here presented, and finally we compare this method with a previous one introduced by us in 2008 and with the Rothaus and Maiorana-McFarland constructions.
Sponsor: The work of the first author was partially supported by Spanish Grant MTM2011-24858 of the Ministerio de Economía y Competitividad of the Gobierno de España.
URI: http://hdl.handle.net/10045/36859
ISSN: 2314-4106 (Print) | 2314-4114 (Online)
DOI: 10.1155/2014/701298
Language: eng
Type: info:eu-repo/semantics/article
Rights: Copyright © 2014 Joan-Josep Climent et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Peer Review: si
Publisher version: http://dx.doi.org/10.1155/2014/701298
Appears in Collections:INV - GAG - Artículos de Revistas

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