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Title:
The Good lower bound of Second-order nonlinearity of a class of Boolean function
Authors: Manish Garg, Sugata Gangopadhyay
Abstract:In this paper we find the lower bound of second-order nonlinearity of Boolean function f_{\lambda}(x) = Tr_{1}^{n}(\lambda x^{p}) with p = 2^{2r} + 2^{r} + 1, \lambda \in \mathbb{F}_{2^{r}}^{*} and n = 5r. It is also demonstrated that the lower bound obtained in this paper is much better than the lower bound obtained by Iwata-Kurosawa \cite{c14}, and Gangopadhyay et al. (Theorem 1, \cite{c12}).
ePrint: https://eprint.iacr.org/2011/452
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