Advances in Mathematics of Communications (AMC)

Special bent and near-bent functions

Pages: 21 - 33, Volume 8, Issue 1, February 2014      doi:10.3934/amc.2014.8.21

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Jacques Wolfmann - IMATH(IAA), Université du Sud Toulon-Var, 83957 La Garde Cedex, France (email)

Abstract: Starting from special near-bent functions in dimension $2t-1$ we construct bent functions in dimension $2t$ having a specific derivative. We deduce new families of bent functions.

Keywords:  Bent functions, near-bent functions.
Mathematics Subject Classification:  11T71, 94B05.

Received: December 2011;      Revised: November 2013;      Available Online: January 2014.