Cryptology ePrint Archive: Report 2010/286

On second-order nonlinearities of some $\mathcal{D}_0$ type bent functions

Sugata Gangopadhyay, Brajesh Kumar Singh

Abstract: In this paper we study the lower bounds of second-order nonlinearities of bent functions constructed by modifying certain cubic Maiorana-McFarland type bent functions.

Category / Keywords: secret-key cryptography / Boolean functions, bent functions, derivatives, second-order nonlinearity.

Publication Info: A part of this paper Section 3.1 is communicated to CECC 2010 as extended abstract.

Date: received 14 May 2010, last revised 14 May 2010

Contact author: gsugata at gmail com

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Version: 20100517:093818 (All versions of this report)

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