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On the exact number of solutions of certain linearized equations

Designs, Codes, and Cryptography, ISSN: 0925-1022, Vol: 73, Issue: 2, Page: 457-468
2014
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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. © 2014 Springer Science+Business Media New York.

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