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Title: Characterisation and enumeration of a class of semi-bent quadratic Boolean functions
Authors: Koçak, Neşe
Koçak, Onur
Özbudak, Ferruh
Saygı, Zülfükar
Keywords: Quadratic Boolean functions
Semi-bent functions
Self-reciprocal polynomials
Bent functions
Issue Date: 2015
Publisher: Inderscience Online
Source: Koçak, N., Koçak, O., Özbudak, F., & Saygı, Z. (2015). Characterisation and enumeration of a class of semi–bent quadratic Boolean functions. International Journal of Information and Coding Theory, 3(1), 39-57.
Abstract: In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before and we proved that semi-bent functions of this form exist only for 6|n. Furthermore, we present a method for enumeration of semi-bent and bent functions in certain classes. Using this method we find the exact number of semi-bent functions of this form. Moreover, we complete some previous partial and incomplete enumeration results for three other classes of semi-bent/bent functions in the literature using this method. We also correct some results on quadratic bent functions stated in Ma et al.
ISSN: 1753-7703
Appears in Collections:Matematik Bölümü / Department of Mathematics

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