A correction and improvements of some recent results on walsh transforms of gold type and Kasami-Welch type functions

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Abstract

We give explicit evaluations of Walsh transforms of Gold type functions (Formula presented) when gcd (b(− a, k)=gcd(b + a, k) and Kasami-Welch type functions (Formula presented),when t is odd, gcd (2k − 1, 2a +1) =1,k is even. Therefore we correct a recent result of Roy’2012, we solve an open problem stated in Roy’2012 and we improve and generalize some results of Roy’2012 and Lahtonen-McGuire-Ward’2007.

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Coşgun, A., & Özbudak, F. (2017). A correction and improvements of some recent results on walsh transforms of gold type and Kasami-Welch type functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10064 LNCS, pp. 243–257). Springer Verlag. https://doi.org/10.1007/978-3-319-55227-9_17

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