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

Sugata Gangopadhyay; Brajesh Kumar Singh

Paper 2010/286

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

Sugata Gangopadhyay and 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.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. A part of this paper Section 3.1 is communicated to CECC 2010 as extended abstract.
Keywords: Boolean functions bent functions derivatives second-order nonlinearity.
Contact author(s): gsugata @ gmail com
History: 2010-05-17: received
Short URL: https://ia.cr/2010/286
License: CC BY

BibTeX

@misc{cryptoeprint:2010/286,
      author = {Sugata Gangopadhyay and Brajesh Kumar Singh},
      title = {On second-order nonlinearities of some $\mathcal{D}_0$ type bent functions},
      howpublished = {Cryptology ePrint Archive, Paper 2010/286},
      year = {2010},
      note = {\url{https://eprint.iacr.org/2010/286}},
      url = {https://eprint.iacr.org/2010/286}
}