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

##### 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.

Available format(s)
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Boolean functionscubic functionsderivativessecond-order nonlinearitylow order approximations.
Contact author(s)
gsugata @ gmail com
History
Short URL
https://ia.cr/2010/258

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},
note = {\url{https://eprint.iacr.org/2010/258}},
url = {https://eprint.iacr.org/2010/258}
}

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