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On the exact number of solutions of certain linearized equations
Authors:Ferruh Özbudak  Zülfükar Saygı
Affiliation:1. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, ?n?nü Bulvar?, 06531?, Ankara, Turkey
2. Department of Mathematics, TOBB University of Economics and Technology, S??üt?zü, 06530?, Ankara, Turkey
Abstract:In this note we have revisited some of the results of Trachtenberg (On the cross-correlation functions of maximal linear sequences, Ph.D. thesis, University of Southern California, Los Angeles, 1970), which are directly related with the number of solutions of some special linearized polynomials over finite fields. In some cases we give improvements. Also, we give some results on the exact number of solutions of certain linearized equations depending on the coefficients of that equation.
Keywords:
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