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 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