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Moscow Mathematical Journal, 2015, Volume 15, Number 4, Pages 703–713
DOI: https://doi.org/10.17323/1609-4514-2015-15-4-703-713 (Mi mmj581) 		 
This article is cited in 6 scientific papers (total in 6 papers)

One class of permutation polynomials over finite fields of even characteristic

L. A. Bassalygo, V. A. Zinoviev

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, GSP-4, Moscow, 127994, Russia
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DOI: https://doi.org/10.17323/1609-4514-2015-15-4-703-713
Abstract: Polynomials of type $x^{q^3+q^2+q+2}+bx$ over the field $\mathbb F_{q^4}$, where $q=2^m$, $m\geq2$, are considered. All cases when these polynomials are permutation polynomials are classified.
Key words and phrases: finite field, permutation polynomial.
Funding agency Grant number
Russian Science Foundation 14-50-00150
The research was carried out at the IITP RAS at the expense of the Russian Foundation for Sciences (project No. 14-50-00150).
Received: January 14, 2015; in revised form June 23, 2015
Bibliographic databases:
Document Type: Article
MSC: 11T06, 11T71, 12Y05
Language: English
Citation: L. A. Bassalygo, V. A. Zinoviev, “One class of permutation polynomials over finite fields of even characteristic”, Mosc. Math. J., 15:4 (2015), 703–713
Citation in format AMSBIB
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\by L.~A.~Bassalygo, V.~A.~Zinoviev
\paper One class of permutation polynomials over finite fields of even characteristic
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 4
\pages 703--713
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-4-703-713}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438828}
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