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

Sugata Gangopadhyay; Brajesh Kumar Singh

Paper 2010/286 Original: eprint.iacr.org/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.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint.
History: 2010-05-17: last updated; 2010-05-17: published
Short URL: https://ia.cr/2010/286
License: https://creativecommons.org/licenses/by/4.0/

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},
      url = {https://eprint.iacr.org/2010/286}
}