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Moscow Mathematical Journal

Volume 15, Issue 4, October–December 2015  pp. 703–713.

One Class of Permutation Polynomials over Finite Fields of even Characteristic

Authors:  L. A. Bassalygo (1) and V. A. Zinoviev (2)
Author institution:Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Bol’shoi Karetnyi per. 19, GSP-4, Moscow, 127994, Russia


Polynomials of type xq3+q2+q+2+bx over the field 𝔽q4, where q=2m, m≥2, are considered. All cases when these polynomials are permutation polynomials are classified.

2010 Math. Subj. Class. 11T06, 11T71, 12Y05.

Keywords: Finite field, permutation polynomial.

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