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

Authors:
Sugata Gangopadhyay
Brajesh Kumar Singh
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URL: http://eprint.iacr.org/2010/286
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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.
BibTeX
@misc{eprint-2010-23187,
  title={On second-order nonlinearities of some $\mathcal{D}_0$ type bent functions},
  booktitle={IACR Eprint archive},
  keywords={secret-key cryptography / Boolean functions,  bent functions, derivatives, second-order nonlinearity.},
  url={http://eprint.iacr.org/2010/286},
  note={A part of this paper Section 3.1 is communicated to CECC 2010 as extended abstract. gsugata@gmail.com 14743 received 14 May 2010, last revised 14 May 2010},
  author={Sugata Gangopadhyay and Brajesh Kumar Singh},
  year=2010
}