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On lower bounds on second--order nonliearities of bent functions obtained by using Niho power functions
In this paper we find a lower bound of the second-order nonlinearities
of Boolean bent functions of the form ,where and are Niho exponents. A lower bound of the second-order nonlinearities of these Boolean functions can also be obtained by using a result proved by Li, Hu and Gao (eprint.iacr.org/2010 /009.pdf). It is demonstrated that for large values of the lower bound obtained in this paper are better than the lower bound obtained by Li, Hu and Gao