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Analysis of Kasami-Welch Functions in Odd Dimension Using Stickelberger's Theorem pp.55-72 $45.00
Authors:  (Philippe Langevin, Gregor Leander, Gary McGuire and Eugen Zalinescu)
Abstract:
In this article we apply some number theoretical techniques to derive results on
Boolean functions. We apply Stickelbergerís theorem on 2-adic valuations of Gauss
sums to the Kasami-Welch functions trL(x4k−2k+1) on F2n , where n is odd and (k, n)=
1. We obtain information on the Fourier spectrum, including a characterization of
the support of the Fourier transform. One interesting feature is that the behaviour is
different for different values of k. We also apply the Gross-Koblitz formula to the Gold
functions trL(x2k+1). 


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Analysis of Kasami-Welch Functions in Odd Dimension Using Stickelberger's Theorem pp.55-72