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2011

On lower bounds on second-order nonliearities of bent functions obtained by using Niho power functions

9 years 11 months ago
On lower bounds on second-order nonliearities of bent functions obtained by using Niho power functions
Abstract. In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form f(x) = Trn 1 (α1xd1 + α2xd2 ), where d1 and d2 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 n the lower bound obtained in this paper are better than the lower bound obtained by Li, Hu and Gao. Key words: Boolean function, derivative, Niho power function, Second-order nonlinearity, Walsh-spectrum.
Manish Garg, Sugata Gangopadhyay
Added 23 Dec 2011
Updated 23 Dec 2011
Type Journal
Year 2011
Where IACR
Authors Manish Garg, Sugata Gangopadhyay
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