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WCC 2011 - Workshop on coding and cryptography, Paris : France (2011)

A construction of bent functions from plateaued functions

Ayca Cesmelioglu 1, Wilfried Meidl 1

(2011-04)

In this presentation a technique for constructing bent func- tions from plateaued functions is introduced. This generalizes earlier techniques for constructing bent from near-bent functions. Analysing the Fourier spectrum of quadratic functions we then can construct weakly regular as well as non-weakly regular bent functions both in even and odd dimension. This type of functions yield the rst known in nite classes of non-weakly regular bent functions. Weakly regular bent functions with certain additional properties can be used to construct partial di erence sets and strongly regular graphs. We show how to obtain appropriate bent functions using our construction.

1:	Sabanc University, MDBF
	Sabanc, University, MDBF

Domain

:

Computer Science/Cryptography and Security Computer Science/Discrete Mathematics Computer Science/Information Theory and Coding Mathematics/Information Theory

Keywords: Bent functions – weakly regular bent – non-weakly regular bent – quadratic functions – plateaued functions.

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From: Assia Saadi <>

Submitted on: Monday, 11 July 2011 10:53:16

Updated on: Monday, 11 July 2011 10:55:20