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On bent functions with zero second derivatives

Authors:
Sugata Gangopadhyay
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URL: http://eprint.iacr.org/2007/077
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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  note={ sugata70@rediffmail.com 13573 received 27 Feb 2007, withdrawn 28 Feb 2007},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
}