On the construction of bent functions of $n+2$ variables from bent functions of $n$ variables

Joan-Josep Climent; Francisco J. García; Verónica Requena

doi:10.3934/amc.2008.2.421

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2008, Volume 2, Issue 4: 421-431. Doi: 10.3934/amc.2008.2.421

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On the construction of bent functions of $n+2$ variables from bent functions of $n$ variables

1.
Institut Universitari d'Investigació Informàtica, Departament de Ciència de la Computació i Intel$\cdot$ligència Artificial, Universitat d'Alacant, Ap. correus 99, E-03080 Alacant
2.
Departament de Fonaments de l'Anàlisi Econòmica, Universitat d'Alacant, Ap. correus 99, E-03080 Alacant
3.
Departament de Ciència de la Computació i Intel•ligència Artificial, Universitat d'Alacant, Ap. correus 99, E-03080 Alacant

Received: June 2008

Revised: October 2008

Published: November 2008

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Abstract

In this paper we present a method to construct iteratively new bent functions of $n + 2$ variables from bent functions of $n$ variables using minterms of $n$ variables and minterms of two variables. Also, we provide the number of bent functions of $n+2$ variables that we can obtain with the method here presented.

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Mathematics Subject Classification: Primary: 06E30; Secondary: 94A60.

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On the construction of bent functions of $n+2$ variables from bent functions of $n$ variables

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