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A construction of bent functions from plateaued functions

Abstract : 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.
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Submitted on : Monday, July 11, 2011 - 10:53:16 AM
Last modification on : Wednesday, November 29, 2017 - 10:27:36 AM
Long-term archiving on: : Monday, November 12, 2012 - 10:40:56 AM


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  • HAL Id : inria-00607752, version 1



Ayca Cesmelioglu, Wilfried Meidl. A construction of bent functions from plateaued functions. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.143-152. ⟨inria-00607752⟩



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