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
Abstract

We show that dimensional doubly dual hyperovals over F2 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