A Construction of Bent Functions of n+2 Variables from a Bent Function of n Variables and Its Cyclic Shifts-Reference-Cited by-同舟云学术

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

Published:2014-04-17 Issue: Volume:2014 Page:1-11
ISSN:2314-4106
Container-title:Algebra
language:en
Short-container-title:Algebra

Author:

Climent Joan-Josep¹^ORCID,García Francisco J.²,Requena Verónica³

Affiliation:

1. Departament d'Estadística i Investigació Operativa, Universitat d'Alacant, Sant Vicent del Raspeig, 03690 Alacant, Spain

2. Departament de Mètodes Quantitatius i Teoria Econòmica, Universitat d'Alacant, Sant Vicent del Raspeig, 03690 Alacant, Spain

3. Departamento de Estadística, Matemáticas e Informática, Universidad Miguel Hernández de Elche, 03202 Alacant, Spain

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.

Funder

Ministerio de Economía y Competitividad of the Gobierno de España

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/701298.pdf

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