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On lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions
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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. |
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}, author={Ruchi Gode and Sugata Gangopadhyay}, year=2010 }