Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Vol. 13, No. 1, 2013

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Dimensional doubly dual hyperovals and bent functions

Ulrich Dempwolff

Vol. 13 (2013), No. 1, 149–178

DOI: 10.2140/iig.2013.13.149

Abstract

We show that dimensional doubly dual hyperovals over $F_{2}$ define bent functions. We also discuss some known and a few new examples of dimensional doubly dual hyperovals and study the associated bent functions.

Keywords

dimensional dual hyperoval, bent function

Mathematical Subject Classification 2010

Primary: 05B25, 51A45

Milestones

Received: 6 June 2012

Accepted: 27 June 2012

Authors

Ulrich Dempwolff