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- W1634830450 abstract "In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form ${rm f}({rm x}) = {rm Tr}_{1}^{{rm n}}(rmalpha_{1}{rm x}^{{rm d}_{1}} + rmalpha_{2}{rm x}^{{rm d}_{2}})$, where d 1 and d 2 are Niho exponents. A lower bound of the second-order nonlinearities of these Boolean functions can also be obtained by using a recent result of Li, Hu and Gao (eprint.iacr.org/2010 /009.pdf). It is shown in Section 3, by a direct computation, that for large values of n, the lower bound obtained in this paper are better than the lower bound obtained by Li, Hu and Gao." @default.
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- W1634830450 date "2011-01-01" @default.
- W1634830450 modified "2023-09-27" @default.
- W1634830450 title "A Lower Bound of the Second–order Nonlinearities of Boolean Bent Functions" @default.
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- W1634830450 doi "https://doi.org/10.3233/fi-2011-570" @default.
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