A characterization of bent functions on n + 1 variables

Authors:
Joan-Josep Climent;Francisco J. García;Verónica Requena
Affiliations:
Institut Universitari d'Investigació Informàtica and Departament de Ciència de la Computació i Intelligència Artificial, Universitat d'Alacant, Alacant, Spain;Departament de Fonaments de l'Anàlisi Econòmica, Universitat d'Alacant, Alacant, Spain;Departament de Ciència de la Computació i Intelligència Artificial, Universitat d'Alacant, Alacant, Spain
Venue:
ISP'07 Proceedings of the 6th WSEAS international conference on Information security and privacy
Year:
2007

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Abstract

In this paper we construct a Boolean function of n + 1 variables starting with two Boolean functions of n variables and we we introduce a necessary and sufficient condition in order to new function be a bent function when n is a positive odd integer.