Bent functions of maximal degree

Çeşmelioğlu, Ayça and Meidl, Wilfried (2012) Bent functions of maximal degree. IEEE Transactions on Information Theory, 58 (2). pp. 1186-1190. ISSN 0018-9448

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Official URL: http://dx.doi.org/10.1109/TIT.2011.2170053

Abstract

In this article a technique for constructing p-ary bent functions from plateaued functions is presented. This generalizes earlier techniques of constructing bent from near-bent functions. The Fourier spectrum of quadratic monomials is analysed, examples of quadratic functions with highest possible absolute values in their Fourier spectrum are given. Applying the construction of bent functions to the latter class of functions yields bent functions attaining upper bounds for the algebraic degree when $p=3,5$. Until now no construction of bent functions attaining these bounds was known.

Item Type:	Article
Uncontrolled Keywords:	Bent functions, Fourier transform, algebraic degree, quadratic functions, plateaued functions
Subjects:	UNSPECIFIED
ID Code:	18877
Deposited By:	Wilfried Meidl
Deposited On:	19 Mar 2012 16:18
Last Modified:	05 Apr 2012 11:52

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Bent functions of maximal degree. (deposited 31 Dec 2011 14:38)
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