[Resource Topic] 2010/258: On lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions

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

Authors: Ruchi Gode, 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.

ePrint: https://eprint.iacr.org/2010/258

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