On  lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions

Ruchi Gode; Sugata Gangopadhyay

Paper 2010/258

On lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions

Ruchi Gode and Sugata Gangopadhyay

Abstract

In this paper we consider cubic bent functions obtained by Leander and McGuire (J. Comb. Th. Series A, 116 (2009) 960-970) which are concatenations of quadratic Gold functions. A lower bound of second-order nonlinearities of these functions is obtained. This bound is compared with the lower bounds of second-order nonlinearities obtained for functions belonging to some other classes of functions which are recently studied.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: Boolean functions cubic functions derivatives second-order nonlinearity low order approximations.
Contact author(s): gsugata @ gmail com
History: 2010-05-06: received
Short URL: https://ia.cr/2010/258
License: CC BY

BibTeX

@misc{cryptoeprint:2010/258,
      author = {Ruchi Gode and Sugata Gangopadhyay},
      title = {On  lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/258},
      year = {2010},
      url = {https://eprint.iacr.org/2010/258}
}