New Classes of Permutation Polynomials Having the Forms

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Published: Jan 5, 2018
Keywords:
finite fields, permutation polynomials

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Suphawan Janphaisaeng*
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand

Abstract

A class of permutation polynomials of the form (x2k + x +gif.latex?\delta )s + x was derived by Zeng-Zhu-Hu in 2010, and this was generalized to similar forms by Zha-Hu in 2012, by Tu-Zeng-Jiang and Tu-Zeng-Li-Helleseth in 2015, and by Zha-Hu in 2016. Using techniques inspired by the work of Zeng-Zhu-Hu, new classes of permutation polynomials of the forms (axpk -ax +gif.latex?\delta ) s +x and  (axpj + bxpk + cx + gif.latex?\delta)s + x are derived.


Keywords: finite fields, permutation polynomials


*Corresponding author:


 E-mail: suphawanj@nu.ac.th

Article Details

Issue
Vol. 17 No. 1 (2017)
Section
Original Research Articles

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References

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