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A construction of weakly and non-weakly regular bent functions
Authors:Ayça Çe?melio?lu  Wilfried Meidl
Institution:a Sabanc? University, MDBF, Orhanl?, 34956 Tuzla, ?stanbul, Turkey
b School of Mathematical Sciences, University College Dublin, Ireland
Abstract:In this article a technique for constructing p-ary bent functions from near-bent functions is presented. This technique is then used to obtain both weakly regular and non-weakly regular bent functions. In particular we present the first known infinite class of non-weakly regular bent functions.
Keywords:Bent function  Near-bent function  Semi-bent function  Weakly regular  Non-weakly regular  Fourier transform
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