November  2008, 2(4): 421-431. doi: 10.3934/amc.2008.2.421

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, Spain

3. 

Departament de Ciència de la Computació i Intel•ligència Artificial, Universitat d'Alacant, Ap. correus 99, E-03080 Alacant, Spain

Received  June 2008 Revised  October 2008 Published  November 2008

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.
Citation: Joan-Josep Climent, Francisco J. García, Verónica Requena. On the construction of bent functions of $n+2$ variables from bent functions of $n$ variables. Advances in Mathematics of Communications, 2008, 2 (4) : 421-431. doi: 10.3934/amc.2008.2.421
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