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On bent functions with zero second derivatives
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Abstract: | It is proved that a bent function has zero second derivative with respect to $a$, $b$, $a \ne b$, if and only if it is affine on all the flats parallel to the two dimensional subspace $V = \langle a, b \rangle$. |
BibTeX
@misc{eprint-2007-13359, title={On bent functions with zero second derivatives}, booktitle={IACR Eprint archive}, keywords={Bent functions}, url={http://eprint.iacr.org/2007/077}, note={ sugata70@rediffmail.com 13573 received 27 Feb 2007, withdrawn 28 Feb 2007}, author={Sugata Gangopadhyay}, year=2007 }