## Cryptology ePrint Archive: Report 2007/077

On bent functions with zero second derivatives

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 $V = \langle a, b \rangle$.

Category / Keywords: Bent functions

Date: received 27 Feb 2007, withdrawn 28 Feb 2007

Contact author: sugata70 at rediffmail com

Available formats: (-- withdrawn --)

Version: 20070301:031718 (All versions of this report)

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