On the exact number of solutions of certain linearized equations

被引：0
|
作者：
Ferruh Özbudak
Zülfükar Saygı
机构：
[1] Middle East Technical University,Department of Mathematics and Institute of Applied Mathematics
[2] TOBB University of Economics and Technology,Department of Mathematics
来源：
Designs, Codes and Cryptography | 2014年 / 73卷
关键词：
Linearized equations; Linearized polynomials; Finite fields; 12E12;
D O I：
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学科分类号：
摘要：
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.
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页码：457 / 468
页数：11
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