Permutation polynomials from trace functions over finite fields

In this paper, we propose several classes of permutation polynomials based on trace functions over finite fields of characteristic 2. The main result of this paper is obtained by determining the number of solutions of certain equations over finite fields.

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Bibliographic Details
Published in:Finite fields and their applications 2015-09, Vol.35, p.36-51
Main Authors: Zeng, Xiangyong, Tian, Shizhu, Tu, Ziran
Format: Article
Language:English
Subjects:
Finite field
Permutation polynomial
Trace function
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Description
Summary:In this paper, we propose several classes of permutation polynomials based on trace functions over finite fields of characteristic 2. The main result of this paper is obtained by determining the number of solutions of certain equations over finite fields.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2015.03.001