A Construction of Bent Functions of n+2 Variables from a Bent Function of n Variables and Its Cyclic Shifts. (17th April 2014)

• Record Type: Journal Article
• Authors: Climent, Joan-Josep; García, Francisco J.; Requena, Verónica
• Other Names: Hajarian Masoud Academic Editor.
• Is Part Of: Algebra. Volume 2014(2014)
• Publication Date: 2014-04-17
• Subjects: Algebra -- Periodicals; Algebra; Electronic journals; Periodicals; 512.005
• DOI: 10.1155/2014/701298
• Languages: English
• ISSNs: 2314-4106

Abstract

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.