A construction of bent functions from plateaued functions

Çeşmelioğlu, Ayça and Meidl, Wilfried (2012) A construction of bent functions from plateaued functions. (Accepted/In Press)

There is a more recent version of this item available.

PDF - Registered users only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
199Kb

Abstract

In this presentation, a technique for constructing bent functions from plateaued functions is introduced and analysed. This generalizes earlier techniques for constructing bent from near-bent functions. Using this construction, we obtain a big variety of inequivalent bent functions, some weakly regular and some non-weakly regular. Classes of bent function with some additional properties that enable the construction of strongly regular graphs are constructed, and explicit expressions for bent functions with maximal degree are presented.

Item Type:	Article
Uncontrolled Keywords:	Bent functions · Plateaued functions · Fourier transform · Strongly regular graphs · Maximal degree
Subjects:	UNSPECIFIED
ID Code:	20020
Deposited By:	Wilfried Meidl
Deposited On:	09 Nov 2012 22:15
Last Modified:	12 Feb 2013 11:34

Available Versions of this Item

A construction of bent functions from plateaued functions. (deposited 09 Nov 2012 22:15) [Currently Displayed]
- A construction of bent functions from plateaued functions. (deposited 12 Feb 2013 11:34)

Repository Staff Only: item control page