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On the nonlinearity of linear recurrence sequences
Institution:1. Department of Computing, Macquarie University, Sydney, NSW 2109, Australia;2. Johann Radon Institute for Computational and Applied Mathematics, Altenberger Straße 69, A-4040 Linz, Austria
Abstract:We obtain an upper bound on exponential sums of a new type with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, of a Boolean function associated with a linear recurrence sequence in a natural way.
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