## CryptoDB

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

Authors: Ruchi Gode Sugata Gangopadhyay URL: http://eprint.iacr.org/2010/258 Search ePrint Search Google 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.
##### BibTeX
@misc{eprint-2010-23159,
title={On  lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions},
booktitle={IACR Eprint archive},
keywords={secret-key cryptography / Boolean functions,  cubic functions, derivatives, second-order nonlinearity, low order approximations.},
url={http://eprint.iacr.org/2010/258},
note={ gsugata@gmail.com 14734 received 5 May 2010},